MARKING SCHEME 2009 CLASS X CENTRAL BOARD OF SECONDARY EDUCATION DELHI MARKING SCHEME 2009 CLASS X CENTRAL BOARD OF SECONDARY EDUCATION DELHI CBSE, Delhi-110301 November, 2009 : 000 Copies Price : Rs. Manuscript as such highlights the main value points and does not represent a complete ideal answer. Manuscript may vary from time to time and year to year. Published by Shri Vineet Joshi, Secretary, C.B.S.E. 'Shiksha Kendra', 2, Community Centre, Preet Vihar, Delhi - 110301. Laser typesetting and Printed by Akashdeep Printers, Daryaganj, New Delhi - 110002 (ii) PREFACE CBSE as a pace setting national Board has constantly been striving to design its evaluation process in a manner that it is used as a powerful means of influencing the quality of teaching and learning in the classroom situation. Also, it has to be so designed that it provides constant feedback regarding the effectiveness of the course content, classroom processes and the growth of individual learners besides the appropriateness of evaluation procedures. As a move in this direction, CBSE started the practice of publishing the Marking Schemes with twin objectives in mind-(i) making the system more transparent and at the same time, (ii) ensuring high degree of reliability in scoring procedure. Who are the markers of answer scripts? How do they mark the answer scripts? How can it be ensured that marking is fair, objective and reliable? Questions of these types naturally arise in the minds of candidates appearing in the public examination. These questions are equally pertinent to the teachers who are not adequately exposed to the CBSE system of marking. Answer Scripts marking is a specialised job. It is assigned to teachers-PGTs for Class XII and TGTs for Class X who are in direct touch with the subject and have a minimum of 3 years experience of teaching the subject at that level. Appointment of examiners is made in accordance with the welldefined norms. Markers examine scripts with the help of datailed guidelines called the 'Marking Schemes'. It is this tool (Marking Scheme) alongwith the extensive supervisory checks and counter-checks through which CBSE tries to ensure objective and fair marking. The present publication is being brought out with a view to serving the following objectives : (i) To give an opportunity to the teachers and students to look into the Marking Schemes that were developed by the Board and supplied to the evaluators in 2009 main examination in some selected main subjects. (ii) To receive feedback and suggestions from institutions/subject teachers on the utility and further improvement of Marking Schemes. (iii) To encourage institutions to undertake similar exercise of developing marking schemes for classes other than those covered by the Board's examination with a view to increasing teachers' responsiveness to them as the essential tools of evaluation. (iii) HOW TO USE Teachers and the students preparing for Class X examination of the Board constitute the primary interest-group of this publication. Marking Schemes of Question Papers in the subjects of English (Communicative), English (Language and Literature), Hindi Course A, Hindi Course B, Mathematics, Science (Theory and Practical Skills), Social Science, Communicative Sanskrit, Urdu Course A, Urdu Course B and Bengali administered in Delhi and Outside Delhi during the 2009 main examination have been included in this document. Some tips on their usage are given below : (a) (b) To Teachers : --- Go through the syllabus and the weightage distribution for the subject carefully. --- Read the question paper to find out how far the question paper set subscribes to the prescribed design. Grade every question by difficulty level for students who have taken the main Board examination. --- Consult the 'Marking Scheme' for each question, with reference to steps into which answers and awards have been divided. --- Work out concrete suggestions for the Board. To Students : --- Study each question carefully, comprehend them and write down the main points of the answer and note down their difficulties for clarification. --- Examine a question in conjunction with the Marking Scheme and find out the proximity of the answer to that suggested in the Marking Scheme. --- We will feel motivated if this publication is commented upon by practitioners in the context of its impact on their teaching learning strategies. Contribution of the experts and the officials of the Board in bringing out this document is gratefully acknowledged. We urge the teachers to encourage their students to make use of this publication and at the same time to enrich us with their free and frank reactions. M.C. SHARMA CONTROLLER OF EXAMINATIONS (iv) CONTENTS Secondary School Examination (X) Marking Scheme Page No. 1. English Communicative ............................................................................................. 1- 41 2. English Language and Literature ................................................................................. 42-74 3. Hindi Course ‘A’ ....................................................................................................... 75-108 4. Hindi Course ‘B’ ....................................................................................................... 109-144 5. Mathematics .............................................................................................................. 145-179 6. Science ...................................................................................................................... 180-205 7. Practical Skills in Science ........................................................................................... 206-221 8. Social Science ........................................................................................................... 222-261 9. Communicative Sanskrit ............................................................................................. 262-293 10. French ....................................................................................................................... 294-322 11. Urdu Course ‘A’ ........................................................................................................ 323-350 12. Urdu Course ‘B’ ........................................................................................................ 351-372 13. Bengali ...................................................................................................................... 373-383 (v) LIST OF COORDINATORS/SUBJECT EXPERTS/REPRESENTATIVES OF THE REGIONS FOR UPDATION/FINALISATION OF THE MARKING SCHEME FOR THE SECONDARY SCHOOL EXAMINATION, 2007 S.No. Name of the Coordinator/Subject Experts S.No. Name of the Coordinator/Subject Experts ENGLISH COMMUNICATIVE 1. 2. 3. 4. 5. Mrs. Rachna Pant Principal Ramjas Pulic School Sector-4, R.K. Puram New Delhi Mrs. Onika Mehrotra Kalka Public School Alaknanda Kalkaji, New Delhi Mrs. M Iyenger Prakash Senior Sec. School Near Sandesh Press Bodakdev Ahmedabad, Gujarat Mr. Meera Bhardwaj Ramjas School Sector-4, R.K. Puram New Delhi Smt. Jasmeen Preet Kaur Govt. Model Senior Sec. School Sector 35, Chandigarh 7. Ms. Padmini Yadav Ramjas School Sector-4, R.K. Puram New Delhi 8. Ms. Manvinder Kaur Delhi Public School Site No. 3, Meerut Road, Ghaziabad, Uttar Pradesh 9. Mr. S.S. Nathan Principal Bala Vidya Mandir School No. 58 IV Main Road Gandhi Nagar, Adyar Chennai 10. Mr. Anoop K. Kamal Principal Bhai Joga Singh Girls Public School D-4 Faiz Road Karol Bagh New Delhi 11. Sh. Jalay Sharma 160, Sarai Jullena New Delhi ENGLISH LANGUAGE AND LITERATURE 1. 6. Mrs. Neena Kaul PGT St. Mary’s School B-II, Safdarjung Enclave New Delhi (vi) Mr. Ramesh Chand Principal Govt. Boys Sr. Sec. School MB Road Pushp Vihar Phase-I New Delhi S.No. Name of the Coordinator/Subject Experts 2. Shri P.N. Thakural C4C-4/256 Janak Puri New Delhi 3. Dr. B.D. Jain Retd. Principal F.131 Pandav Nagar Delhi 4. Mr. M.L. Ambhor Principal Govt. Sarvodaya Bal Vidyalaya Rani Jhansi Road, New Delhi Ms. Neelam Kulshreshtha Rajkiya Pratibha Vikas Vidyalaya BT Block Shalimar Bagh, Delhi 10. Ms. Neeta Joshi PGT Advanced Academy ISKON Vihar Nipanie Road Indore, M.P. HINDI COURSE A Dr. Anuradha HOD Sardar Patel Vidyalaya Lodhi Estate, New Delhi 2. Dr. Suresh Pant 10 C/4 C, Janakpuri New Delhi Vasant Kunj, New Delhi 3. Mr. P.G. Rajendran Vice Principal Jawahar Navodaya Vidyalaya Dodaaballapur, Bashettihalli Post, Bangalore Rural Distt. Karnataka Ms. Kamlesh Sarvodaya Kanya Vidyalaya Avantika, Sector-I, Rohini Delhi 4. Shri K.C. Sharma HOD Rashtriya Military School Ajmer (Rajasthan) 5. Mrs. Kalyani Vice-Principal Kendriya Vidyalaya DGQA Complex Pazhavanthangal Chennai, Tamil Nadu Mrs. Anupama Govt. Sr. Sec. School Sector-19, Chandigarh 6. Mrs. Uma Sharma TGT Rajkiya Pratibha Vikas Vidyalaya 8. 9. 1. 5. 7. S.No. Name of the Coordinator/Subject Experts Mrs. Neelima Sharma Deputy Education Officer Directorate of Education District South Defence Colony New Delhi (vii) S.No. Name of the Coordinator/Subject Experts 6. Smt Rupa PGT DA V Model School Sector-15, Chandigarh 7. Dr. Lalima Verma Principal Kendriya Vidyalaya FRI, PO New Forest, Dehradun, Uttarakhand 8. 9. 13. Mrs. Neelam Kaushal Principal Nav Yug School Laxmi Nagar New Delhi Dr. N.N. Mishra Retd. Principal C-180, IInd Floor Hari Nagar Clock Tower New Delhi 11. Dr. Sujata Tewatia I-C, Pocket-I Mayur Vihar, Phase-I Delhi 12. Mr. Mukesh Sharma TGT Govt. S.B.U. Ramesh Nagar New Delhi Mr. Neekkanth Kumar, GB Sr. Sec. School Palam Gaon No.I New Delhi HINDI COURSE B Mr. Manish Agarwal Montfort School Phase-I, Ashok Vihar Delhi 10. S.No. Name of the Coordinator/Subject Experts 1. Dr. Anuradha HOD Sardar Patel Vidyalaya Lodhi Estate, New Delhi 2. Dr. Kamal Satyarthi 187 K, Jeevan Nagar Kilokari, New Delhi 3. Ms. Renu Pushkarna PGT DAV Public School Sector-14, Gurgaon 4. Ms. Monika Marwah Sanskriti School Dr. Radhakrishan Marg Chanakaya Puri, New Delhi 5. Dr.. A. Rengasamy PGT SBOA School & Jr. College, 18 Sch. Road Anna Nagar, Western Extn., Chennai, Tamilnadu 6. Mrs. Shika Nag DTEA Sr. Sec. School B-1, Janak Puri, New Delhi (viii) S.No. Name of the Coordinator/Subject Experts 7. S.No. Name of the Coordinator/Subject Experts Sh. J.K. Jain 2. Sh. P.S. Mahajan BA-36C Ashok Vihar-I, Phase-I Delhi 3. Sh. G. D. Dhall K-171, LIC Colony Syed Nangloi Village, Delhi 4. Sh. S.N. Chibber Principal (Retd.) B-330, Saraswati Vihar Delhi 5. Sh. Ashvani K. Bakshi Vice Principal Cambridge School, Sector-27 Delhi 6. Sh. J.C. Nijhawan Retd. Vice Principal C-51 Maharana Pratap Enclave Delhi 7. Sh. Ajay Marwah PGT SD Public School Pitampura Delhi 8. Mr. J. Ajith Prasath Jain Principal BVB Bhawan's Rajaji Vidyashram, 6, Garden Road PGT Daly College, Indore 8. Dr. Saleya Sachin GB Sr. Sec. School Tagore Garden, New Delhi 9. Ms. Kamudi Sharma Delhi Public School R.K. Puram New Delhi 10. Dr. T.P. Shukla Vice Principal K. V. Maligaon Guwahati 11. Dr. Madhuri Delhi Public School Sector 3, Dwarka, New Delhi 12. Ms. Priya Vaidya M 47, Saket New Delhi MATHEMATICS 1. Mrs. Anita Sharma Principal SD Public School BU Block Pitampura Delhi Kilpauk Chennai (ix) S.No. Name of the Coordinator/Subject Experts 9. S.No. Name of the Coordinator/Subject Experts Shri Nirmal Singh SCIENCE Govt. Model Sr. Sec School 1. Sh.L.V.Sehgal Principal Bal Bharati Pub. School Rajinder Nagar Near Ganga Ram Hospital New Delhi 2. Sh. P. N. Seth 65/42, New Rohtak Road New Delhi 3. Sh. J.P. Agarwal 3 Shakti Apartment Ashok Vihar Phase-III Delhi 4. Sh.B.N. Mehrotra A-32, Nanda Road Adarsh Nagar, Delhi 5. Sh. Virendra Srivastav B-3/95B Janakpuri New Delhi 6. Sh. R.P. Garg Principal Govt. Sarvodaya Boys Sr. Sec. School Vivek Vihar, Delhi 7. Dr (Mrs.) S. Bhowmik Ex-Principal Aastha Aptt. Green Park Maligaon Guwahati, Assam 8. Shri R.S. Yadav C-557, Saraswati Vihar Delhi Sector-33, Chandigarh 10. Dr. Ram Mohan Principal St. Vivekanand Public School Alampur Hauz, Sarai Essar Agra Road, Etawah (U.P.) 11. Mr. Rekha Narula Principal Jaipur School Sec-6, Vidya Dhar Nagar Jaipur 12. Sh. B.K.N. Murthy Principal Vivekanand Kendra Vidyalaya Baragolri Assam 13. Sh. S.K. Ray Choudhary Vice Principal Raisina Bengali Sr. Sec. School Mandir Marg New Delhi 14. Sh. I.C. Ahuja Retd. Principal G-93, Ashok Vihar-I Delhi (x) S.No. Name of the Coordinator/Subject Experts S.No. Name of the Coordinator/Subject Experts 9. Sh.C.K. Punnoose Vice-Principal St. Xavier’s School Jaipur, Rajasthan 17. Ms. Satinder Kaur 19-43, G.S. Apptt. Sector - 13 Rohini, Delhi 10. Sh. Sri Devi S.A. Principal BBUL Jain Vidyalaya 84 KR Road Bangalore 18. Ms. Shivani Goswami 563, Golf Vista Apptt. Alpha II, Greater Noida U.P. Mrs. Mohina Dar Principal Amity International School Sector.44, Noida Gautam Budh Nagar Uttar Pradesh 1. Mrs. Ravinder Jodhka Vice Principal Guru Harkishan Pub. School Hardhian Singh Road Karol Bagh, New Delhi 2. Sh. Kirpal Singh Retd. Principal C-1001 NPSC CGHS Ltd Plot No 5, Sector-2, Dwarka New Delhi 3. Sh. V.B. Krishna C-382, Saraswati Vihar Delhi 4. Sh. D.S. Yadav E-52, Pandav Nagar Delhi 5. Ms. Padma Srinivasan HOD Delhi Public School R.K. Puram, New Delhi 6. Mrs. Samita Sahay Battacharya PGT Blue Bells International School Kailash Colony, New Delhi 11. 12. Mrs. Kamal Kapoor Govt. Model Sr. Sec. School Sec.33, Chandigarh 13. Ms. Sangeeta Bhatia, New State Academy Sr.Sec.School, Zone H-4, Pitampura, Delhi 14. Ms. Poonam Sondhi, Bal Bharti Public School, Ganga Ram Hospital Marg, New Delhi 15. Ms. Anuj Marwah, 121, Chanderlok Enclave Pitampura Delhi 16. Sh. Suman Nath Principan Tagore International School E-Block, East of Kailash New Delhi SOCIAL SCIENCE (xi) S.No. Name of the Coordinator/Subject Experts 7. 8. 9. 10. 11. 12. 13. 14. S.No. Name of the Coordinator/Subject Experts Mrs. Annapurni Venkatachala PGT Mother’s International School, Sri Aurobindo Marg, New Delhi COMMUNICATIVE SANSKRIT Smt. Veena Sharma Bhavan’s Vidyalaya Sector-27, Chandigarh Ms. Seetha Kiran Principal DAV Pub. School Santoshima Nagar Neredmet, Rama Krishma puram Hyderabad, Andhra Pradesh Mrs. Kaveri Adhikari Principal Tagore Public School Attaruiya, Allahabad Utter Pradesh Dr. Indu Sharma PGT Demonstration Multipurpose School (RIL) Pushkar Road Ajmer, Rajasthan Mrs. Manmeet Kaur TGT Guru Harkishan Public School Karol Bagh, New Delhi Sh. S.N. Sharma BC 54, Shalimar Bagh (W) Delhi Mrs. Jaspal Kaur PGT Guru Harkishan Public School Karol Bagh New Delhi (xii) 1. Sh. Chand Kiran Saluja Head of Deptt.(Sanskrit) Central Institute of Education University of Delhi, Delhi 2. Sh. Y. D. Sharma H. No. 100, 101 Pocket A-3 Sector-11, Rohini, Delhi 3. Shri Chander Bhan Singh Vice Principal Govt. Boys Sec School No.2 Khanpur, New Delhi 4. Sh. Bhaskar Dutt Dwivedi Principal Dau Dayal Arya Vedic Sr. Sec. School Nayan Vans, Delhi 5. Sh.H.O.Arya DAV Public School Sector-14, Faridabad, Haryana 6. Ms Chandra Ramani PGT PS BB Sr. Sec. School 15, Lake Area, First Main Road Chennai, Tamil Nadu 7. Mrs. Seema Sharma MGD Girls School SRS Road, Ajmeri Gate Jaipur, Rajasthan 8. Shri J.L. Sharma Principal Dewan Public School Opp. Roadways Bus Stand Meerut Road, Hapur, Ghaziabad, Uttar Pradesh S.No. Name of the Coordinator/Subject Experts 9. Smt. Parvesh Sharma Priyadarshni Senior Sec. School Fatehpur Beri, New Delhi 10. Mr. Vijay Trivedi Vasant Valley School Vasant Kunj Sector-C, New Delhi 11. Shri C K Sharma Principal Bhavan’s Sawan Public School Bhati Mines Road, New Delhi S.No. Name of the Coordinator/Subject Experts BENGALI 1. Mr. P. Saha PGT V.N. Bengali Sr. Sec. School Sarojni Nagar, New Delhi 2. Mrs. Sharmishta Sen 147/C Pocket J & K Dilshad Garden Delhi 3. Mrs. Mitra Saha Shyama Prasad Vidyalaya Lodhi Estate, New Delhi 4. Dr. Pratima Majumdar PGT (Bengali) B D Memorial lnstitute Pratapgarh URDU COURSE A/B 1. 2. Mohd.Maroof Khan Principal Dr. Zakir Hussain Memorial Sr. Sec. School Jafarabad, Delhi Dr. Razi Ahmad C/o Darshan Lal F-401 Munirka Village, New Delhi 3. Mrs. Kishwar Jahan (PGT Urdu), Dr. Zakir Husain Mem. Sr. Sec. School Jafrabad, Delhi 4. Dr. Nafees Jahan Ansari Ex-Principal 47/5, Uttranchal Society I.P. Extn., Delhi 5. Kolkata, West Bengal 5. Mrs. Anima Basu PGT Ashok Hall Girls Sec. School Sarat Bose Road Kolcotta, West Bengal 6. Mr. Aditi Sinha PGT Mr. Arief Usmani Anglo Arabic Sr. Sec. School Ajmeri Gate Delhi Bengali Sr. Sec. School, Alipur Road, Delhi (xiii) ENGLISH (Communicative) Time allowed : 3 hours Maximum marks : 100 GENERAL INSTRUCTIONS : (i) This paper consists of four sections. Section A - Reading 20 marks Section B - Writing 30 marks Section C - Grammar 20 marks Section D - Literature 30 marks (ii) Attempt all questions. (iii) Do not write anything in the question paper. (iv) All the answers must be correctly numbered as in the question paper and written in the answer sheet provided to you. (v) Attempt all questions in each section before going on to the next section. (vi) Read each question carefully and follow the instructions. (vii) Strictly adhere to the word limit given with each question. OUESTION PAPER CODE 1/1/1 SECTION A (Reading) 1. Read the passage given below and answer the questions that follow: 1. In Belgium newspapers refer to their country as the Kingdom of Chocolates. With hundreds of chocolate factories turning out some 140000 tonnes a year, Belgian chocolate is big business and employs nearly 72000 people. How Belgium became the world’s chocolate capital relates partly to its colonial past in Africa, giving it special ties to cacao producers. According to Dirk Arens, Director of Operations, at the big Nuehaus plant, the secret of their success is that the Belgian taste in chocolate seems to be universal and they are fortunate to possess traditional craftsmanship for making fine chocolate. 2. Most Belgian chocolate makers learn their craft at vocational schools before being apprenticed to a master chocolatier. Once on their own, they use the cacao beans, roast them longer, and then grind the particles to a miniscule 20 to 35 microns for a super-velvety texture. And they make it rich: pure cocoa content in Belgian chocolate ranges from 35 to 43% and even higher. It also 1 20 Marks 8 marks helps that the Belgian government takes chocolates seriously. In 1975, it decreed that only products made of cacao beans, cocoa butter and sugar could be labelled chocolate. That ruled out the cheaper vegetable used in many countries as a substitute for some of the cocoa butter and spurred Belgian chocolatiers to aim high and pay attention to detail. That simple, elegant, little chocolate box with a little ribbon around it called a ballotin, was invented in 1912 by a meticulous member of the Neuhaus clan to protect packed chocolates. Complete the following sentences: 1x8=8 The secret of the success of Belgian chocolate is that (a) ____________________________________________________ (b) ____________________________________________________ The processes involved in making Belgian chocolates are (c) ____________________________________________________ (d) ____________________________________________________ (e) The Belgian government maintains quality in the manufacture of chocolates by _________________________________________ (f) Neuhaus clan protected its packed chocolates by _______________ ____________________________________________________ Belgium is called the Kingdom of Chocolates because 2. (g) ____________________________________________________ (h) ____________________________________________________ Read the passage given below and answer the questions that follow: 1. I recently heard a story from a man named Malcolm Dalkoff. He’s 48. For the last 24 years he has been a professional writer, mostly in advertising. Here is what he told me. As a boy, Dalkoff was terribly insecure and shy. He had a few friends and no self-confidence. One day in October 1965, his high-school English teacher, Ruth Brauch gave the class an assignment. The students had been reading To kill a Mocking Bird. Now they were to write their own chapter that would follow the last chapter of the novel. Today he cannot recall anything special about the chapter he wrote, or what grade Mrs. Brauch gave him. What he does remember–what he will never forget–are the four words Mrs. Brauch wrote in the margin of the paper. “This is good writing.” 2 12 marks 2. Four words! They changed his life. “Until I read those words, I had no idea of who I was or what I was going to be,” he said. “After reading her note, I went home and wrote a short story, something I had always dreamed of doing but never believed I could do.” Over the rest of the year in school, he wrote many stories and always brought them to school for Mrs. Brauch to evaluate. She was encouraging, rough and honest. “She was just what I needed,” Dalkoff said. His confidence grew; his horizons broadened; he started off on a successful, fulfilling life. Dalkoff is convinced that none of this would have happened had that woman not written those four words in the margin of his paper. 3. For his 30th high-school reunion, Dalkoff went back and visited Mrs. Brauch, who had retired. He told her what her four words had done for him. He told her that because she had given him the confidence to be a writer, he had been able to pass that confidence on to the woman who would become his wife, who became a writer herself. He also told Mrs. Brauch that a woman in his office, who was working in the evenings towards a high-school-equivalency diploma, had come to him for advice and assistance. She had respected him because he was a writer - that is why she turned to him. Mrs. Brauch was especially moved by the story of helping the young woman. “At that moment I think we both realized that Mrs. Brauch had cast an incredibly long shadow,” he said. “This is good writing.” So few words. They can change everything. 2.1 Answer the following in a sentence or two: 2.2 (a) What was the assignment given by Ruth Brauch to her students? 1 (b) When did Dalkoff meet Mrs. Brauch and thank her? 1 (c) Mention the words which Dalkoff wil1 never forget in his life. Where did he see them? 2 Complete the summary given below. Use only a word to fill in each blank. The encouragement and support provided by Mrs. Brauch was a turning point in the life of Dalkoff. He found himself writing short stories which were once a (a) ________________ to him. Becoming the co-editor of his highschool newspaper (b) _____________________ his confidence. He was (c) ______________________________ in passing on the confidence, Mrs. Brauch had given, to others also. He (d) ___________________ that a few words could change everything. 3 1x4=4 2.3 Find words which mean the same as the following: 1x4=4 (a) to assess para 2 (b) completely sure about something para 2 (c) unbelievably para 3 (d) help/support para 3 SECTION B (Writing) 3. You are Manu/Manisha and you are going on a cycling expedition to the hills. Write a postcard in not more than 50 words to your cousin, Kumar, C-14, Jawahar Nagar, Chennai, about the details of the cycling expedition. Copy the format of the postcard from the question paper. 4 30 Marks 5 marks 4. You are Suma / Sumesh living at 15, Mall Road, Delhi. You have been invited to attend a youth camp at Ootacamand on the 4th of November, 2009. Send a telegram to your friend Sujatha, C-14, Jawahar Nagar, Ootacamand, asking her to pick you up at the bus station. Write the telegram in not more than 25 words. Copy the format of the telegram from the question paper. 5 marks Receiver’s Name: Receiver’s Address: Message: Sender’s Name: (Not to be telegraphed) Sender’s Name and Address: 5. You are Radhika / Raghav, B-12, Jawahar Market, New Delhi. You happened to see the following news item in the New Indian Express. Write a letter in 150-175 words to the editor of the newspaper registering your unhappiness at the lack of safety for women in Krishna Nagar, New Delhi. Mention the measures that can be adopted to solve the problem. 10 marks New Delhi: Gita, a working woman, was attacked on her way back home at 8.00 p.m. yesterday. Several instances of chain snatching and picking of pockets targeting especially women have been reported from different areas of Krishna Nagar, New Delhi. 6. You are Leila / Lakshman. You visited the Water Park near your city as a part of school excursion. You noticed that the water was not clean and also had a stale smell resulting in a decrease in the number of visitors. Taking ideas from the graph given below and the unit on “Health and Medicine” along with your own ideas, write an article in 150-175 words for your school magazine about your experience and how the pol1uted water would further affect the visitors. Include the precautions to be taken in the Water Park. 5 10 marks For the Blind Candidates only You are Leila / Lakshman. You visited the Water Park near your city as a part of school excursion. You noticed that the water was not clean and also had a stale smell resulting in a decrease in the number of visitors. Taking ideas from the unit on “Health and Medicine” along with your own ideas, write an article in 150-175 words for your school magazine about your experience and how the polluted water would further affect the visitors. Include the precautions to be taken in the Water Park. SECTION C (Grammar) 7. 20 Marks Look at the notes given below and complete the paragraph that follows. Do not add any new information. Write the answers in the answer sheet against the correct blank numbers. 1x4=4 marks Rudrapur ......... small town ......... U.P. ......... grow fast ......... hard work of people ......... people ......... migrate from Pakistan ......... attract industrialists ......... all over India. Rudrapur (a) __________________ and has (b) ____________________ due to the hard work of its people. It was a haven for people (c) ____________. The town has now become (d) _____________ from all over India. 8. The following passage has not been edited. There is one error in each line. Write the incorrect word and the correction in your answer sheet against the correct blank number. ½x8=4 marks My cat Tugger be the toughest animal I know. He has survived much close calls. Three years ago, 6 e.g. : be is (a) 9. he were caught inside a car’s engine. His right ear (b) was torn off when he lost the sight in one eye. We were (c) surprised that he lived from the accident. Within (d) weeks she was back to normal. Then last year again (e) we were worry that we would lose Tugger. (t) Lumps that grew on his back was operated upon by (g) the vet. Now we know Tugger do have nine lives. (h) Read the passage given below and fill in each blank with one word only. Write the answer in your answer sheet against the correct blank number. Do not copy the whole sentence. ½x8=4 marks The ancient Egyptians believed (a) ___________________ a person’s soul lived (b) _____________________ the body died. To make (c) _____________ soul live (d) ____________________________ developed ways to prevent the body (e) _______________ decaying. At first they buried their bodies (f) ___________ the hot desert sand. The hot sand dried the bodies and helped (g) ___________ preserve them. Later they began embalming (h) ________________ dead. 10. Read the conversation between two friends and complete the sentences given below. Write the answers in your answer sheet against the correct blank numbers. Do not copy the whole sentences. 1x4=4 marks Rahul : Do you know that David was hit by a two-wheeler yesterday? Varun : Oh no! When did it happen? Rahul : He was hit by a scooter on his way back from school. Varun : Is he badly injured? Rahul : He is not seriously hurt. But it is doubtful whether he will be able to participate in the inter-school competition next week. Rahul asked Varun if he knew that (a) ______________ Varun was shocked and wanted to know (b) _________________. Rahul replied that he had been hit by a scooter on his way back from school. Varun enquired (c) _____________. Rahul replied that though he was not seriously hurt (d) _______________ to participate in the inter-school competition next week. 7 11. Read the newspaper items given below. Use the information in the headlines to complete the sentences. Write the answers in your answer sheet against the correct blank numbers. Do not copy the whole sentences. 1x4=4 marks (a) Jayalal new A.I.R. Chief G. Jayalal __________________ as Director General of All India Radio. (b) Sarah Palin invited to become V.P. of hockey team Last week a California based hockey team __________ to become its V.P. (c) Daylight Murder - Motive Robbery The official investigator, Manoj Aswal said ____________ for the daylight murder of a business man. (d) Yuvraj to lead Board President’s XI The Board of Control for Cricket assured that __________ in a four day match in Hyderabad. SECTION D (Literature) 12. Read the extract given below and answer the questions that follow. Write the answers in your answer sheet in one or two lines only. 30 Marks 3 marks They searched for him: he was not found. They clicked their tongues. With every movement that the scorpion made his poison moved in mother’s blood, they said. (a) Who searched for whom? 1 (b) Why did ‘they’ click their tongues? 1 (c) Mention a characteristic trait of ‘they’ as revealed in these lines. 1 Or Each like a corpse within its grave, until Thine azure sister of the Spring shall blow Her clarion o’er the dreaming earth, and fill (Driving sweet buds like flocks to feed in air) With living hues and odours plain and hill : 8 13. (a) What is lying ‘like a corpse in its grave’ ? 1 (b) How does the spring transform the earth? 1 (c) Which poetic device is used in the first line? 1 Read the extract given below and answer the questions that follow. Write the answers in your answer sheet in one or two lines only. 3 marks And a good south wind sprung up behind; The Albatross did follow, And every day, for food or play, Came to the mariners’ hollo ! 14. (a) What is an Albatross? 1 (b) How did the Albatross help the mariners? 1 (c) Why did it come to the mariners every day? 1 Answer the following in 50-75 words. 4 marks How did the frog satisfy his greed through the nightingale’s song? Or What are the personal qualities the mirror claims to possess? 15. Read the extract given below and answer the questions that follow in one or two lines only. 4 marks ‘I see a vacant seat in the chimney corner, and a crutch without an owner, carefully preserved. If these shadows remain unaltered by the Future, the child will die.’ 16. (a) When did Scrooge see this sight? Who is the child referred to here? 2 (b) What change was visible in Scrooge after this sight? 2 Answer the following in 50-75 words. 4 marks Give two instances from the play, ‘Julius Caesar’ to prove that Mark Antony was a good orator. Or How did Marley appear before Scrooge on Christmas Eve? What advice did he give Scrooge? 9 17. Answer the following in 50-75 words. 4 marks “I have changed. But my elder brother? Time could not bring upon him any change.” Explain this statement in the light of the lesson, ‘The Tribute.’ Or Describe the condition of the refugees on their arrival at the refugee camp. 18. Answer the following in 150-175 words. 8 marks “His scientist jailers were sympathetic. But they were powerless.” As one of the young scientists taking care of Cutie Pie, write a report on the sincere attempts made by you to preserve Cutie Pie and with what results., Or ‘He no longer thought of them in terms of envelopes and postcards. He saw the essential human worth of a letter.’ As the village postmaster write a letter to a friend on the circumstances under which you were made to realize this truth and how your attitude has changed. OUESTION PAPER CODE 1/1 SECTION A (Reading) 1. Read the passage given below and answer the questions that follow: 1. In Belgium newspapers refer to their country as the Kingdom of Chocolates. With hundreds of chocolate factories turning out some 140000 tonnes a year, Belgian chocolate is big business and employs nearly 72000 people. How Belgium became the world’s chocolate capital relates partly to its colonial past in Africa, giving it special ties to cacao producers. According to Dirk Arens, Director of Operations, at the big Nuehaus plant, the secret of their success is that the Belgian taste in chocolate seems to be universal and they are fortunate to possess traditional craftsmanship for making fine chocolate. 2. Most Belgian chocolate makers learn their craft at vocational schools before being apprenticed to a master chocolatier. Once on their own, they use the cacao beans, roast them longer, and then grind the particles to a miniscule 20 to 35 microns for a super-velvety texture. And they make it rich: pure cocoa content in Belgian chocolate ranges from 35 to 43% and even higher. It also helps that the Belgian government takes chocolates seriously. In 1975, it decreed that only products made of cacao beans, cocoa butter and sugar 10 20 Marks could be labelled chocolate. That ruled out the cheaper vegetable used in many countries as a substitute for some of the cocoa butter, and spurred Belgian chocolatiers to aim high and pay attention to detail. That simple, elegant, little chocolate box with a little ribbon around it called a ballotin, was invented in 1912 by a meticulous member of the Neuhaus clan to protect packed chocolates. 1.1 Complete the following sentences: 1x8=8 The secret of the success of Belgian chocolate is that (a) ___________________________________________________ (b) ___________________________________________________ The processes involved in making Belgian chocolates are (c) ___________________________________________________ (d) ___________________________________________________ (e) The Belgian government maintains quality in the manufacture of chocolates by ________________________________________. (f) Neuhaus clan protected its packed chocolates by ______________. Belgium is called the Kingdom of Chocolates because 2. (g) ___________________________________________________ (h) ___________________________________________________. Read the passage given below and answer the questions that follow: 1. I recently heard a story from ~ man named Malcolm Dalkoff. He’s 48. For the last 24 years he has been a professional writer, mostly in advertising. Here is what he told me. As a boy, Dalkoff was terribly insecure and shy. He had a few friends and no self-confidence. One day in October 1965, his high-school English teacher, Ruth Brauch, gave the class an assignment. The students had been reading To Kill a Mocking Bird. Now they were to write their own chapter that would follow the last chapter of the novel. Today he cannot recall anything special about the chapter he wrote, or what grade Mrs. Brauch gave him. What he does remember - what he will never forget - are the four words Mrs. Brauch wrote in the margin of the paper: “This is good writing.” 11 12 2. Four words! They changed his life. “Until I read those words, I had no idea of who I was or what I was going to be,” he said. “After reading her note, I went home and wrote a short story, something I had always dreamed of doing but never believed I could do.” Over the rest of the year in school, he wrote many stories and always brought them to school for Mrs. Brauch to evaluate. She was encouraging, rough and honest. “She was just what I needed,” Dalkoff said. His confidence grew; his horizons broadened; he started off on a successful, fulfilling life. Dalkoff is convinced that none of this would have happened had that woman not written those four words in the margin of his paper. 3. For his 30th high-school reunion, Dalkoff went back and visited Mrs. Brauch, who had retired. He told her what her four words had done for him. He told her that because she had given him the confidence to be a writer, he had been able to pass that confidence on to the woman who would become his wife, who became a writer herself. He also told Mrs. Brauch that a woman in his office, who was working in the evenings towards a high-school-equivalency diploma, had come to him for advice and assistance. She had respected him because he was a writer –– that is why she turned to him. Mrs. Brauch was especially moved by the story of helping the young woman. “At that moment I think we both realized that Mrs. Brauch had cast an incredibly long shadow,” he said. “This is good writing.” So few words. They can change everything. 2.1 Answer the following in a sentence or two: 2.2 (a) What was the assignment given by Ruth Brauch to her students? 1 (b) When did Dalkoff meet Mrs. Brauch and thank her? 1 (c) Mention the words which Dalkoff will never forget in his life. Where did he see them? 2 Complete the summary given below. Use only a word to fill in each blank. 1x4=4 The encouragement and support provided by Mrs. Brauch was a turning point in the life of Dalkoff. He found himself writing short stories which were once a (a) ___________________ to him. Becoming the co-editor of his high school newspaper (b) _________________ his confidence. He was (c) __________________ in passing on the confidence, Mrs. Brauch had given, to others also. He (d) ___________________ that a few words could change everything. 12 2.3 Find words which mean the same as the following: 1x4=4 (a) to assess para 2 (b) completely sure about something para 2 (c) unbelievably para 3 (d) help/support para 3 SECTION B - (Writing) 3. 4. 30 You are Mira/Manav, Head Girl/Boy of G.K. Public School, Chandigarh. You have been asked to organize a trip to a nearby hospital to distribute clothes and medicines to the poor patients in the wards. Write a notice in not more than 50 words inviting the students to make the contributions. 5 You are Ankita/Ankush staying at 15, Mall Road, Kolkata. You have been selected to participate in the National Science Exhibition at Mumbai. You would like to get permission from your father who is in Delhi on tour. Send a telegram to your father at No.3, Leelavati Cottage, Lajpat Nagar, Delhi seeking his permission. Do not exceed 50 words. Copy the format of the telegram in your answer sheet. 5 Receiver’s Name: Receiver’s Address: Message: Sender’s Name: Not to be telegraphed : Sender’s Address: 5. You are Akshita/Akshay staying at 15, Agra Road, Kanpur. Write a letter to the editor of a newspaper highlighting the necessity of having better facilities for pedestrians by improving the condition of the footpaths in your city. Use the following notes to write the letter in 150 - 175 words. 13 10 6. Narrow footpaths Pedestrians prone to accidents Unauthorized hawkers on the pavements Pools of stagnant water You are Naina/Nayan. Write an article in about 150 - 175 words on the importance of afforestation and maintaining a green cover in the country to prevent pollution and global warming. Use ideas from the unit on ‘Environment’, the picture given below and your own ideas. A child embracing a tree in ‘Chipko Movement’ (For Blind Candidates Only) You are Naina/Nayan. Write an article in about 150 -175 words on the importance of afforestation and maintaining a green cover in the country to prevent pollution and global warming. Use ideas from the unit on ‘Environment’, your own ideas, and the hints given below: stops soil erosion attracts rains checks warming of the atmosphere provides life-giving oxygen effective contribution made by ‘Chipko Movement’ 14 10 SECTION C - (Grammar) 7. 20 Marks Look at the notes given below and complete the paragraph that follows. Do not add any new information. Write the answers in your answer sheet against the correct blank numbers. 1x4=4 Max Mueller - born in Germany - became British citizen - admired Indian culture and literature - translated - many Sanskrit texts Max Mueller was a (a) __________________ by birth and he acquired British (b) ____________________. He was a great (c) _________________ literature and was responsible for the (d) ________________________ texts. 8. In the passage given below one word has been omitted in each line. Write the missing word along with the word that comes before and the word that comes after it in your answer sheet against the correct blank number. The first one is done as an example. ½x8=4 e.g. people who have Many people have grown up in multi-child families think that single (a) child family a very fortunate one. (b) They mention such benefits lack (c) of competition parental love in (d) such families. According them each (e) of the children possesses large wardrobe (f) for keeping his/her clothes. But picture (g) is not so rosy. Inspite of getting everything these children very lonely (h) and long for company. 9. Rearrange the following words and phrases to form meaningful sentences. The first one has been done as an example. Write the answers against the correct blank numbers in your answer sheet. are four \ of stress \ sources \ our lives \ there \ in \ common \ There are four common sources of stress in our lives. (a) pressure \ external \ the \ or internal \ can be \ first one \ (b) cause \ stress \ goals and expectations \ internal \ unreal \ 15 1x4=4 10. (c) due to \ factors \ place \ takes \ outside \ external stress \ (d) of \ is \ another \ anxiety \ source \ stress \ Given below are instructions to cook eggs. Use them to complete the paragraph given below. Write the answers in your answer sheet against the correct blank numbers. Do not copy the whole sentences. Break three eggs - drop them into a bowl Pick up an egg beater and beat the eggs Add salt and a little milk Oil a pan and pour beaten eggs Stir till dried and turn off the heat Transfer into a plate and serve hot 1x4=4 Three eggs are broken and dropped into a bowl. An egg beater (a) ______________ and the eggs are beaten. Salt and a little milk (b) _____________ to it. A pan is oiled and (c) _______________ into it. The eggs (d) ____________ and the heat is turned off. The contents are then transferred to a plate and served hot. 11. Read the following conversation and complete it in any suitable way. Write the answers in your answer sheet against the correct blank numbers. Do not copy the whole sentences. Amrita : We are going on a trip to Shimla next week. (a) __________________________________________________ Raveena : It is not possible for me to join you on this trip. Amrita : (b) __________________________________________________ Raveena : My aunt is coming from the U.S.A. Amrita : (c) __________________________________________________ Raveena : She is coming this very week. Amrita : (d) __________________________________________________ Raveena : I will also miss you all a lot. 16 1x4=4 SECTION D - (Literature) 12. Read the extract given below and answer the questions that follow. Write the answers in your answer sheet in one or two lines only. Number the answers correctly. 30 Marks 3 “In this bog I’ve long been known For my splendid baritone And, of course, I wield my pen For Bog Trumpet now and then.” (a) What is ‘Bog Trumpet’ ? 1 (b) How does the speaker try to impress the listener? 1 (c) What does ‘baritone’ mean? 1 OR I am important to her. She comes and goes. Each morning it is her face that replaces the darkness. In me she has drowned a young girl, and in me an old woman Rises towards her day after day like a terrible fish. 13. (a) Who is ‘I’ ? 1 (b) Why is ‘I’ important to ‘her’ ? 1 (c) Which poetic device is used in the last line? 1 Read the extract given below and answer the questions that follow. Write the answers in your answer sheet in one or two lines only. Number the answers correctly. 3 “God save thee, ancient Mariner! From the fiends, that plague thee thus!Why look’st thou so?” - With my cross-bow I shot the ALBATROSS. (a) Who says, “Why look’st thou so?” ? 1 (b) Why does he say so ? 1 (c) Who is ‘I’ referred to here? 1 17 14. Answer the following in 50 - 75 words. 4 Write two instances to bring out the characteristic traits of the villagers in the poem, ‘The Night of the Scorpion’. OR Describe the impact of the West Wind on the land and the sea. 15. Read the extract given below and answer the questions that follow in one or two lines. 4 ‘Have patience gentle friends, I must not read it’ 16. (a) Who is the speaker? What does he refuse to read? 2 (b) Which two qualities of the speaker are revealed in these lines? 2 Answer the following in 50 - 75 words. 4 Give two instances from the play, “The Christmas Carol” to bring out the fact that Scrooge was a cruel miser. OR In spite of Calpurnia’s warning Caesar decided to go to the senate. Describe the circumstances under which he made this decision. 17. Answer the following in 50 - 75 words. 4 How did ‘the millions of human eyes glued to millions of colour TVs’ react to the appearance of Cutie Pie – the strange creature captured from Quta-pi ?’ OR What thoughts came to Babuli’s wife when she heard about the partition? 18. Answer the following in 150 - 175 words. You are one of the villagers who have noticed Ali and his helplessness. Write a letter to your friend giving an account of the life and experiences of this lonely man. OR Imagine you are the narrator’s elder brother in ‘The Ultimate Safari’. Write a diary entry about your life in Mozambique and the circumstances under which you were forced to leave the place. 18 Strictly Confidential - (For Internal and Restricted Use Only) All India Secondary School Examination March 2009 Marking Scheme - English Communicative General Instructions: Please note that the questions are numbered in continuation from 1 to 18. (i) Marking of the entire script should be done by one examiner. All answers in all the scripts issued to the examiner should be marked section wise. (ii) In the Marking Scheme, a slash (/) indicates alternative answers; any one such answer is counted as correct. (iii) Brackets ( ) indicate optional information; the mark is awarded whether the part in brackets is included or not. (iv) If a student writes an answer which is not given in the Marking Scheme but which is equally acceptable, full marks should be awarded. (v) Students should not be penalized if they do not follow the order of the section / question while answering. (vi) In questions requiring word limit please note that no marks are to be deducted for exceeding the word limit (vii) The Marking Scheme carries only suggested value points for the answers. These are only guidelines and do not constitute the complete answer. The students can have their own expression and if the expression is correct, marks should be awarded accordingly. 19 QUESTION PAPER CODE 1/1/1 SECTION A (READING) 20 MARKS Note: 1 Section A tests the candidate’s ability in reading only. Therefore no deductions to be made for errors in spelling, grammar or punctuation. Marks should be awarded if the answer can be clearly understood. CHOCOLATES TOTAL MARKS 8 Objective : To identify and understand main parts of the text. Marking : 8 marks : 1 mark for each correct answer. No penalty for spelling or grammar error. Accept any other word equivalent in meaning to the answers given below. Answers : a) taste of chocolates is universal 1 mark b) possesses traditional craftsmanship 1 mark c&d) roasting / grinding / using cacao beans (any two) e) by decree saying that only products made of cacao beans, butter and sugar are chocolates 2 marks 1 mark f) - tying / putting / ribbon around box - inventing ballotin - inventing a special box (any one ) 1 mark g& h) - it produces hundreds of packets of chocolates - chocolate making is big business - 140000 tonnes of chocolates are produced in a year - the chocolate industry employs 72000 people - of its colonial past - of its special ties to cacao producers (any two) 2 MALCOLM 2.1 Objective : To identify main points of the text. Marking 2 marks TOTAL MARKS 12 : 4 marks - 1 mark for each correct answer. No penalty for spelling, grammar. Accept any other word / phrase equal in meaning to the answer given below 20 Answers : a) to write an additional chapter 1mark b) after 30 years / at 30th high school re-union / at high school reunion (any one) 1mark c) “this is good writing” 1mark in the margin 2.2 1mark Objective : To identify main points of the text. Marking : 4 marks - 1 mark for each correct answer. No penalty for spelling and grammar. Accept any other word / phrase equal in meaning to the answer given below Answers : a) dream 1mark b) boosted / increased / bolstered /enhanced 2.3 (any one) 1mark c) successful / instrumental 1mark d) felt / thought / realized/ believed / said understood/ accepted (any one) 1mark Objective : To deduce the meanings of unfamiliar terms Marking : 4 marks -1 mark for each correct answer. Answers : a) evaluate b) convinced / confident c) incredibly d) assistance SECTION- B WRITING 3. POST CARD 30 MARKS TOTAL MARKS 5 CYCLING EXPEDITION Objective : To use appropriate style and format to write a postcard. ½ mark is to be deducted if the format is not drawn. Marking : 5 marks Format : From : Manu / Manisha ½ mark To: Kumar ½ mark address of Kumar ½ mark date and place of sender ½ mark 21 Content 4. : cycling expeditions to hills ½ mark duration of trip ½ mark number of people ½ mark route – destination ½ mark other arrangements 1 mark TELEGRAM- OOTACAMAND TOTAL MARKS 5 Objectives : To use an appropriate style and format to write a telegram ½ mark is to be deducted if the format is not drawn Marking : Format : 2 marks Format includes addressee’s name and address 1 mark sender’s name and address 1 mark Content : 3 marks 5. request to be picked up 1 mark when to receive ½ mark where to receive - bus stand ½ mark reasons for coming – to attend camp at Ootacamand 1 mark LETTER TO THE EDITOR: TOTAL MARKS 10 CHAIN SNATCHING Objectives : To write in a style appropriate to a formal letter Marking : Marking should be in accordance with the writing assessment scale. (Content - 4, Fluency - 3, Accuracy - 3) Under content, credit should be given for the candidate’s creativity in presenting his/her own ideas. However, some of the following points may be included. Maximum of one mark is to be deducted from total for improper lay out. Layout includes sender’s address, date, editors’ address, subject, salutation and complimentary close NOTE : Refer to the writing assessment scale. 22 Suggested Value Points: - lack of safety for women in Krishna Nagar - expressing unhappiness - chain snatching incidents - measures to be adopted - any other relevant points to be accepted 6. ARTICLE TOTAL MARKS 10 WATER PARK Objectives : To plan, organize and present ideas coherently Marking : Marking should be in accordance with the writing assessment scale. (Content – 4, Fluency - 3, Accuracy - 3 ) Layout – 1 mark may be deducted if layout is incorrect Layout includes title and name of the writer. Under content, credit should be given for the candidate’s creativity in presenting his/her own ideas, however, some of the following points may be included. Suggested Value Points: - interpretation of the given graph - decrease in visitors to park - visitor’s experience - effect of polluted water on other visitors - reasons for this decrease - precautions to be taken - suggestions on how to increase number - any other relevant points to be accepted FOR BLIND CANDIDATES Suggested Value Points: - visitor’s experience - effect of polluted water on other visitors 23 - reasons for this decrease - precautions to be taken - suggestions on how to increase numbers SECTION - C GRAMMAR 7. GAP SUMMARY 20 MARKS TOTAL MARKS 4 RUDRAPUR Objective : To expand notes into a meaningful piece of writing. To write in a clear and grammatically correct language 8. Marking : 1 mark for each correct answer. Answers : a) is a small town / is a small town in UP 1 mark b) grown fast 1 mark c) who migrated from Pakistan 1 mark d) an attraction for industrialists /attractive to industrialists /attractive for industrialists 1 mark EDITING TOTAL MARKS 4 TUGGER Objective : To test the accurate use of grammatical items Marking : ½ mark for each correct answer. The mark should be awarded only if the correct and incorrect words are written Incorrect Correct a) much many b) were was c) when and d) from after e) she he f) worry g) was were h) do does worried 24 9. GAP FILLING TOTAL MARKS 4 EGYPTIANS Objective : To test the accurate use of grammatical items Marking : 4 marks - ½ mark for each correct answer Marks should be awarded only if one suitable word is written. Answers: 10. a) that b) after c) the d) they e) from f) in g) to h) the / their NARRATION TOTAL MARKS :4 RAHUL AND VARUN Objective: To test the use of reported speech Marking : 1 mark for each correct answer Answers: a) 11. David had been hit by a two wheeler the previous day / David had been hit by a two wheeler the day before 1mark b) when it had happened 1mark c) whether / if he was badly injured 1mark d) it was doubtful whether / if he would be able 1mark HEADLINE EXPANSION TOTAL MARKS 4 Objective : To test the ability to transform the sentences appropriately and in context Marking : 4 marks - 1 mark for each correct answer. 25 Answers: a) has been appointed b) invited Sarah Palin /had invited Sarah Palin /had extended an invitation to Sarah Palin c) that robbery was the motive/ that robbery had been the motive/that robbery could be the motive. d) Yuvraj would lead the Board President’s XI / Yuvraj was going to lead the Board President’s XI SECTION - D LITERATURE 30 MARKS General Instructions : This section is meant to test the students’ familiarity with and appreciation of the set texts and not written expression. However if the expression prevents clear communication up to ½ mark may be deducted in each question. 12. POETRY TOTAL MARKS 3 Objective : To test local and global understanding of the given poem Marking Option-1 : 3 marks NIGHT OF THE SCORPION Answers a) peasants / villagers; for the scorpion b) to express their helplessness at their inability to find the scorpion / to express concern / sympathy / sorrow (or any other equivalent word) c) 1mark sympathetic/ helpful / superstitious/ empathetic/ understanding / united (any one of the above or any other appropriate answer) Option-2 ½+½ mark 1 mark ODE TO THE WEST WIND a) seeds 1 mark b) fills it with hues and odours ( colours/fragrance) 1 mark c) simile 1 mark 26 13. RIME OF THE ANCIENT MARINER TOTAL MARKS 3 Objective : To test local and global understanding of the poem. 14. Marking : 3 marks Answers : a) a bird / sea bird 1 mark b) instilled hope / considered a good omen / ice split/ wind began to blow / helped them to steer out of the region (any one) 1 mark c) for food or play 1 mark POETRY TOTAL MARKS 4 Objective : To test appreciation and understanding of the given poem Marking : 4 marks Note : No penalty for exceeding the word limit Option-1 FROG AND THE NIGHTINGALE Value Points: - sold her songs for money - charged a fee for training her - pressurizing her to sing to please the audience to earn more (any two) Option-2 4 marks MIRROR Value Points: - no pre-conceptions - no prejudices - objective - truthful - silver - exact - unmisted by emotions - not cruel - eye of a little God - four cornered - reflective ( any other appropriate word) (any two of the above) 4 marks 27 15. CHRISTMAS CAROL TOTAL MARKS 4 Objectives : To test knowledge of theme and setting of the play Marking : 4 marks Answer : a) with ghost of Christmas Present / with second ghost when he visited Cratchit’s house / when he enquired about Tiny Tim’s future (any one) child-Tiny Tim 1 mark b) concerned about Bob Cratchit’s family and Tiny Tim in particular 16. 1 mark DRAMA 2 marks TOTAL MARKS 4 Objectives : To test knowledge of theme and setting of the given play Marking : 4 marks. Option 1 JULIUS CAESAR Value Points - connects well with the audience by addressing them as ‘friends’ - uses the word ‘honourable’in a sarcastic manner / negatively - undermines Brutus’s speech (words) point by point - refers to Caesar’s refusal of crown - refers to Caesar’s will - exploits emotions by showing Caesar’s wounds (any two) Option 2 17. CHRISTMAS CAROL - Marley appears in a spirit form / as a grey dim figure / in a ghostly form bound in chains (any one) 1 mark - asks him to change by practicing mercy / benevolence / not to give too much importance to money (any two) 2marks - advised him to pay heed to the spirits that would visit him 1 mark FICTION TOTAL MARKS 4 Option- 1 TRIBUTE Objective : To test specific and global understanding of the text. 28 Marking : 4 marks Value Points : brother has not changed, comes to receive him - carries his luggage - shows same love - calm and composed - detached during partition 2 marks Babuli changed - no letter written / - no visits for two years - forgets to touch feet of brother - extends no help to family in village - absorbed in his own life in the city 2 marks (any two from each of the above) Option -2 ULTIMATE SAFARI 4 marks Answer : - refugees exhausted/ tired - falling against each other - disoriented – thought they were still walking - hungry - given mixture , ate quickly , vomited ( any two) 18. FICTION TOTAL MARKS 8 Format of the report in this question is not important. Note : 4 Upto 2 marks only may be deducted for expression No marks should be deducted for incorrect layout No penalty for exceeding word limit Question 18 is marked slightly differently from the other literature questions. In this question the student is asked to produce a piece of creative writing based on one of the literature texts . The main aim of this question is to 29 assess students’ understanding and appreciation rather than their writing ability, so the marks for the question are also awarded for content. However, since this is an extended writing task, written expression cannot be ignored, and therefore there is a penalty in question 18 for poor expression. Marking : 8 marks The marks are to be awarded for content out of 4 as per the writing assessment scale and then multiplied by two to give a total of 8, which is the maximum mark for this question. However, where a student’s expression is particularly poor, up to 2 marks may be deducted out of marks obtained as per the writing assessment scale. Note : C - is marked for content and E - is penalty for expression. Option 1 CUTIE PIE Suggested Value Points : Attempts by scientist created the same atmosphere as Quta Pi kept Cutie Pie under observation tried to provide appropriate food Results 19th day - feathers fall off unattractive, ugly body people lose interest ( two points from each) Option -2 THE LETTER Suggested Value Points: Circumstances daughter sick in another town no letter - worried Realization empathises with Ali’s condition father’s pain and anxiety feels remorseful, guilty at treatment of Ali (two points from each) (Accept any other relevant value point) 30 QUESTION PAPER CODE 1/1 SECTION A (READING) 20 MARKS Note: that Section A tests the candidate’s ability in reading only; therefore no deduction is to be made for errors in spelling, grammar and punctuation. Marks should be awarded if the answer can be correctly understood. 1 CHOCOLATES TOTAL MARKS 8 Objective : To identify and understand main parts of the text. Marking : 8 marks : 1 mark for each correct answer. No penalty for spelling or grammar. Accept any other word equivalent in meaning to the answers given below. Answers : a) taste of chocolates is universal 1 mark b) possesses traditional craftsmanship 1 mark c&d) roasting / grinding / using cacao beans (any two) 2 marks e) by decree saying that only products made of cacao beans, butter and sugar are chocolates 1 mark f) - tying / putting / ribbon around box - inventing ballotin - inventing a special box (any one ) 1 mark g & h) - it produces hundreds of packets of chocolates - chocolate making is big business - 140000 tonnes of chocolates are produced in a year - the chocolate industry employs 72000 people - of its colonial past - of its special ties to cacao producers (any two) 2. MALCOLM TOTAL MARKS 12 2.1 Objective : To identify main points of the text. Marking 2 marks : 4 marks - 1 mark for each correct answer. 31 No penalty for spelling, grammar. Accept any other word / phrase equal in meaning to the answer given below Answers : a) to write an additional chapter 1mark b) after 30 years / at 30th high school re-union / at high school reunion (any one) 1mark c) “this is good writing” 1 mark in the margin 2.2 1 mark Objective : To identify main points of the text. Marking : 4 marks - 1 mark for each correct answer. No penalty for spelling, grammar. Accept any other word / phrase equal in meaning to the answer given below Answers : a) dream 1 mark b) boosted / increased / bolstered enhanced 2.3 (any one) 1 mark c) successful / instrumental 1 mark d) felt / thought / realized/ believed / said understood/ accepted (any one) 1 mark Objective : To deduce the meanings of unfamiliar terms Marking : 4 marks -1 mark for each correct answer. Answers: a) evaluate b) convinced / confident c) incredibly d) assistance SECTION B - WRITING 3. TOTAL MARKS 30 NOTICE - VISIT TO HOSPITAL TOTAL MARKS 5 Objective : To use appropriate style and format to write a notice Marking : 5 marks Format : 2 marks School - G. K. Public School, Chandigarh / Notice / Title 32 ½ mark Issuing date ½ mark writer’s name - Mira / Manav ½ mark designation - Head Girl / Head Boy ½ mark Content: 4. 3 marks Purpose - visit to hospital- distribution of clothes and medicines to the poor patients ½ mark date of visit ½ mark appeal for contributions ½ mark venue of collection ½ mark collection incharge ½ mark last date for contributions ½ mark TELEGRAM - TO FATHER TOTAL MARKS 5 Objectives : To use an appropriate style and format to write a telegram ½ mark to be deducted for not copying the format Marking: 5 marks Format: 2 marks Receiver’s name - Name of father ½ mark Receiver’s address - No. 3 Leelavati Cottage, Lajpat Nagar, Delhi ) ½ mark Sender’s name - Ankita / Ankush ½ mark Sender’s address -15, Mall Road, Kolkata ½ mark Content: 5. 3 marks Selection - to participate in National Science Exhibition 1 mark Place - Mumbai 1 mark Purpose – permission to participate 1 mark LETTER TO THE EDITOR - PEDESTRIANS TOTAL MARKS 10 Objective : To write in a style appropriate to a formal letter. Marking : Marking should be in accordance with the writing assessment scale . (Content – 4, Fluency – 3, Accuracy – 3 ) 33 Maximum of one mark is to be deducted from total for improper layout. (Layout includes: Sender’s address, date, editor’s address, subject , salutation, complimentary close , and sender’s name) Under content credit should be given for the candidate’s creativity. However some of the following points may be included. Any other relevant point can be accepted. Content : Value points: Problems Narrow footpaths Pedestrians prone to accidents Unauthorized hawkers on the pavements Pools of stagnant water 6. Need for better facilities Some suggestions ARTICLE - AFFORESTATION TOTAL MARKS 10 Objectives : To write in a style appropriate for communicative purposes. To plan, organize and present ideas coherently. Marking : Marking should be in accordance with the writing assessment scale. (Content - 4, Fluency - 3, Accuracy - 3 ) Layout : 1 mark may be deducted if layout is incorrect Layout includes title and name of the writer Under content, credit should be given for the candidate’s creativity in presenting his/her own ideas. However, some of the following points may be included. Any other relevant point can be accepted Suggested Value Points: Mention of the problem Importance of afforestation Measures / suggestions to prevent pollution and global warming The given picture may be used for ideas on conservation Any other relevant points 34 FOR BLIND CANDIDATES Suggested Value Points: Mention of the problem Importance of afforestation Measures / suggestions to prevent pollution and global warming Any other relevant points SECTION C - GRAMMAR 7. TOTAL MARKS 20 GAP SUMMARY - MAX MUELLER TOTAL MARKS 4 Objectives : To expand notes into a meaningful piece of writing To write in clear and grammatically correct language. Marking : 1 mark for each correct answer Answers: 8. a) German 1 mark b) citizenship 1 mark c) admirer of Indian culture and / admirer of / admirer of Indian 1 mark d) translation of many Sanskrit / translation of many 1 mark OMISSION - SINGLE CHILD FAMILY TOTAL MARKS 4 Objective : To use grammatical items accurately and appropriately Marking : ½ mark to be awarded to each correct answer. For the marks to be awarded the word before and after the missing word should be written. The correct word should be underlined. Answers: a) that a single b) family is a c) benefits like / as lack d) competition for parental e) According to them f) possesses a large g) But the picture h) children are very 35 9. JUMBLED SENTENCES - STRESS TOTAL MARKS 4 Objective : Rearrange the jumbled words accurately and appropriately with reference to syntax. Marking : 1 mark for each correct answer .Partially correct answer is not acceptable. Answers: a) The first one can be external or internal pressure / External or internal pressure can be the first one. 1 mark b) Unreal goals and expectations cause internal stress. 1 mark c) External stress takes place due to outside factors / Due to outside factors external stress takes place. 1 mark Anxiety is another source of stress. / Another source of stress is anxiety. 1 mark d) 10. VOICE - EGGS TOTAL MARKS 4 Objective: To transform sentences (Voice) Marking : 1 mark for each correct answer Answers: a) is picked up 1 mark b) are added 1 mark c) the beaten eggs are poured 1 mark d) are stirred till dried / are stirred till they dry 1 mark 11. DIALOGUE - TRIP TO SHIMLA TOTAL MARKS 4 Objective : To complete the given dialogue with grammatically correct sentences by referring to the conversation. Marking : 1 mark for each correct answer Suggested Answers: a) b) Why don’t you join me / us on this trip ? / Why don’t you come with me / us ? / Why don’t you join me / us ? 1 mark Why can’t you come ? / Why can’t you join us ? / Why can’t you ? / Why can’t you accompany us? / Why? / Why not? 1 mark 36 c) When is she coming ? 1 mark d) I’ll / We’ll miss you a lot. 1 mark Note: Any other grammatically correct answer is acceptable. SECTION - D LITERATURE TOTAL MARKS 30 General Instructions : This section is meant to test the students’ familiarity with and appreciation of the set texts and not written expression. However if the expression prevents clear communication, upto ½ mark may be deducted in each question. 12. POETRY TOTAL MARKS 3 Objective : To test local and global understanding of the poem Marking : 3 marks Answers : OPTION 1 : THE FROG AND THE NIGHTINGALE a) a magazine / newsletter / journal (of Bingle Bog) 1 mark b) His credentials i.e., his singing ability / his calibre to write as a critic ( any one) 1 mark c) a male singing voice fairly deep 1 mark OPTION II: MIRROR 13. a) mirror 1 mark b) helps to check her appearance 1 mark c) simile 1 mark THE RIME OF THE ANCIENT MARINER TOTAL MARKS 3 Objective : To test local and global understanding of the poem Marking : 3 marks Answers : a) the wedding guest 1 mark b) because there is a change of expression on Mariner’s face 1 mark c) the Ancient Mariner 1 mark 37 14. POETRY TOTAL MARKS 4 Objective : To test appreciation and understanding of the poem. Marking : 4 marks OPTION 1 : NIGHT OF THE SCORPION Value Points: Villagers / peasants superstitious sympathetic religious / god fearing (any two examples from the poem ) 4 marks OPTION II: ODE TO THE WEST WIND Value Points: Impact on the land 2 marks acts as a destroyer and preserver Impact in the sea 15. (any two) awakens the Mediterranean Sea from slumber creates chasms in the Atlantic Ocean affects sea plants 2 marks JULIUS CAESAR TOTAL MARKS 4 Objective : To test knowledge of the theme and setting of the play Marking : 4 marks Answers: a) b) 16. Speaker- Mark Antony 1 mark Caesar’s will 1 mark clever orator / understands human nature / manipulative / skilled rhetorician (any two) DRAMA 2 marks TOTAL MARKS 4 Objective: To test understanding of the play. Marking : 4 marks 38 OPTION 1: A CHRISTMAS CAROL Value Points: no charity to carol singers refuses leave to Bob Cratchit says beggars and surplus population to be sent to work houses / prisons / or to die gives no donations ( any two with examples) 4 marks OPTION II : JULIUS CAESAR Value Points: Changes decision because of arrival of Decius Brutus positive interpretation of Calpurnia’s dream Decius plays upon his vanity ambition / greed (mention of crown to be offered) 17. FICTION 4 marks TOTAL MARKS 4 Objective: To test understanding of text Marking: 4 marks OPTION 1: CUTIE PIE Value points: doted on him – cute, adorable products started in his name observed everything he did treated him like a product (any two with supporting examples) 4 marks OPTION II: THE TRIBUTE Value points: wanted to know their share of land and its value plans to spend the money 4 marks 39 18. FICTION TOTAL MARKS 8 Objective: To test extrapolation of the text Marking: 8 marks Up to 2 marks may be deducted for expression No marks should be deducted for incorrect layout Question 18, however, is marked slightly differently from the other literature questions. In this question the student is asked to produce a piece of creative writing based on one of the literature texts. The main aim of this question is to assess students’ understanding and appreciation rather than their writing ability, so the marks for the question are also awarded for content. However, since this is an extended writing task, written expression cannot be ignored, and therefore there is a penalty in question 18 for poor expression. The marks are to be awarded for content out of 4 as per the writing assessment scale and then multiplied by two to give a total of 8, which is the maximum mark for this question. However, where a student’s expression is particularly poor, up to 2 marks may be deducted out of marks obtained as per the writing assessment scale. Note: No penalty for exceeding word limit. C - is marked for content and E - is penalty for expression. OPTION I : THE LETTER Suggested Value Points : Ali’s transition from clever shikari to a helpless father regular visitor to post office lonely and distressed since daughter’s marriage no letter from her cheerless existence faith and hope despite everything. (Accept any other relevant value point) (Any four points) 40 OPTION II : THE ULTIMATE SAFARI Suggested Value Points : Forced to leave because of fear of bandits uncertainty of life / fear of death lost both parents no food or shelter village destroyed no food and shelter in grandmother’s village all villagers leaving for a safer place. (Accept any other relevant value point) (Any four points) 41 ENGLISH (Language and Literature) Time allowed : 3 hours Maximum marks : 100 GENERAL INSTRUCTIONS : (i) This paper consists of four Sections. Section A – Reading 20 marks Section B – Writing 20 marks Section C – Grammar 15 marks Section D – Text Books 45 marks (ii) All questions are compulsory. (iii) Marks are indicated against each question. QUESTION PAPER CODE 2/1/1 SECTION A (Reading) 1. Read the passage given below and answer the questions that follow: 1. Bhutan is the most appropriate place to visit if one is seeking peace, one’s youth and discovery. October-November is the right time to pay a visit to this beautiful neighbour. Its blue skies, magnificent snow views, crisp mountain air and remarkably well preserved centres of Buddhist culture are worth enjoying. 2. Thimpu is the capital of Bhutan. It is spread along a willow lined river, Wang Chhu. All buildings here are built in the traditional style and adorned with beautiful paintings. Thimpu has no traffic lights, something we Indians are not used to. Traffic is directed by policemen, standing on highly decorated boxes. They use exaggerated but elegant gestures to guide it. The main street, Norzim Lam, leads to the town centre and the clock tower with its adjoining hotels, shops and restaurants. 3. Here there are many places worth seeing. One can visit Telecom Tower situated at the height of 8,807 ft. On your way down you can stop at the mini zoo, where you can see goat-antelope known as Takin. It is Bhutan’s national animal. According to legend this large and certainly strange-looking animal was created by the 15th century saint, Lame Drukpa Kinleyn to prove his magical prowess. 4. In Thimpu, National Memorial Chorten is the most public religious place in the country. This white-domed building with its golden spires was built in 42 20 Marks 12 marks 1974 in memory of the third king. Trashi Chhoe Dzong is the seat of the government as well as religious order. Built in the thirteenth century, it was renovated in 1962 when Thimpu became the capital. 5. Here archery is a favoured sport which can be witnessed on weekends. Thimpu is the base for several walks into the stunning country side. Indian nationals do not need visas to travel to Bhutan. (302 words) (a) When is the right time to visit Bhutan? 1 (b) Mention any two objects of nature which are worth enjoying there. 1 (c) How is the traffic in Thimpu managed without traffic lights? 2 (d) Name the national animal of Bhutan. Where can you see it? 1 (e) What is the legend associated with its creation? 1 (f) When and why was the National Memorial Chorten built? 2 (g) Find out from the passage the adjective forms of words given below: 2 (h) 2. (i) appropriately (Para 1) (ii) beauty (Para 2) Find out from the passage the words which mean the same as the following: (i) movements of the part of body to convey meaning (Para 2) (ii) pointed parts of a tower (Para 4) Read the passage given below and answer the questions that follow: Florence Chadwick was the first woman to swim the English Channel in both directions. At age 34, her goal was to become the first woman to swim from Catalina island to the California coast. On the 4th of July morning in 1952 the sea was like an ice bath. The fog was so dense she could hardly see her support boats. She struggled on - hour after hourwhile millions watched on television. Alongside Florence in one of the boats, her mother and her trainer offered encouragement. They told her the goal wasn’t much farther. But all she could see was fog. They urged her not to quit. But with only a half mile to go, she asked to be pulled out. Several hours later she told a reporter that it was not fatigue or even the cold water that defeated her. It was the fog. She was unable to see her goal. 43 2 8 marks Two months later she tried again. It was the same dense fog. But she swam with her goal clearly pictured in her mind. She knew that somewhere behind fog was land. And this time she succeeded. She became the first woman to swim the Catalina channel, eclipsing the men’s record by two hours. (210 words) (a) What was Florence Chadwick’s goal at the age of 34 ? 1 (b) How did the people witness her performance ? 1 (c) How did her mother and her trainer encourage Florence? 2 (d) What made her quit when she had only a half mile to go ? 1 (e) In spite of the same fog, what made her to succeed the second time? 2 (f) What record did she set? 1 SECTION B (Writing) 3. You are Arun/Aruna, living at 537, D.D.A. Flats, Prashant Vihar, Delhi. You have come to know that your cousin often misses his classes in his new school. Since he is very intimate with you, write a letter advising him to avoid the company of those students who bunk off classes. 20 Marks 8 marks OR Injuries and death taking place due to underage driving are being reported almost everyday. Write a letter to the Commissioner of Traffic Police asking him to be very strict in such cases and also take necessary steps to stop this practice. You are Abha/ Abhinay, P-3 7, Suman Apartments, New Delhi. 4. Eating of fast food, lack of exercise and activity have been causing life style diseases such as obesity, heart disease, diabetes etc. even among children. Write an article, in about 125 words on the rising tendency of life style diseases among school children and how to prevent them. OR Yamuna in Delhi has become extremely polluted. It has been reduced almost to a drain. Using the hints given below write a paragraph, in about 125 words, on the causes of the pollution of the Yamuna river and how to bring it to its old glory. Once an overflowing clean river - now polluted - all garbage, industrial and domestic waste thrown into it - animals bathe - rituals performed - throwing of garbage and waste to be banned - separate proper places to be allocated for rituals 44 8 marks 5. You are Deepak/Deepika, Secretary of Ahimsa Club of Rishabh Public School, Delhi. On 2nd October your school observed “International Day for Peace and Non-violence,” organizing various activities such as visit to Raj Ghat, charkha spinning, lectures by eminent Gandhians etc. Write a report in about 60 words for your school magazine. 4 marks OR Yoga camp was organized in your school. Mentioning the activities such as presentation of yogasans by the students of senior and junior wing, lectures delivered by experts on yogasans, pranayam, meditation, food etc., write a report in about 60 words. You are Pranav/Prerna, Head Boy / Head Girl of Sarvodaya Bal Mandir School, Gagan Vihar, Delhi. SECTION C (Grammar) 6. (15 Marks) The following passage has not been edited. There is one error in each line. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word that you have supplied. ½x6=3 marks Robinson was shipwreck on eg. shipwreck -shipwrecked a island. It was inhabited (a) only by animals or birds. There (b) was not a single human beings (c) on an island. He saw a (d) large number of multicoloured bird. (e) Footmarks in the ground made him (f) fear the presence of dangerous animals. 7. Fill in the following blanks with suitable non-finites: ½x4=2 marks Three tourists from Delhi decided (a) .................... visit) Goa last year. They went there. While (b) ...................... (stand) at the Calangute beach, two of them decided (c) ..................... (have) a dip in the sea. While (d) ................. (play) in the water they were swept away by the current. 8. Read the dialogue and complete the passage given below. Write the correct answers in your answer sheet against the correct blank numbers. Do not copy the whole sentences. 1x3=3 marks 45 Son : Mummy, I am very hungry. Is there anything for me to eat? Mother : I am preparing your lunch. Son : When will it be ready? Mother : In just 10 minutes. The son told his mother that he was very hungry and asked (a) ____________ for him to eat. The mother told him (b) _____________________. The son inquired when it would be ready. The mother replied that (c) ________________. 9. Look at the words and phrases given below. Rearrange them to form meaningful sentences. The first one has been done as an example. Write the correct sentences in your answer sheet. Remember to number the answers correctly. 1x2=2 marks Example: birthday / 22nd / is / August / of / Ishita’s 22nd of August is Ishita’s birthday. 10. a. on that / made / her / a big / mother / cake / occasion b. friends / party / invited / many / the / to / Ishita Look at the sentences given below and complete the paragraph that follows. Write the correct answers in your answer sheet against the correct blank numbers. Do not copy the whole sentences. 1x3=3 marks (a) Brutus allowed Antony to speak. (b) Antony addressed the public. (c) His speech aroused them to revolt. Roman general Caesar was killed by Brutus and his friends. His friend, Antony came to express his grief. He (a) _________________________. The public (b) _______________. Hearing his speech they (c) _______________. 11. The underlined words in the following passage have been used inappropriately. Replace them with their appropriate forms. Write your answers in your answer sheet with correct numbers. Do not copy the whole passage. He is a hockey player. He is not happy with the step-motherly (a) treat shown towards his (b) favour sport. The team was not given even a (c) receptive on their return to India after (d) win the world cup. ½x4 = 2 marks 46 SECTION D (Text Books) 12. Read the extract given below and answer the questions that follow. Write the answers in your answer sheet in one or two lines only. Remember to number the answers correctly. 45 Marks 5 marks He wandered for seven years and finally sat down under a fig tree, where he vowed to stay until enlightenment came. Enlightened after seven days, he renamed the tree the Bo tree (Tree of Wisdom) and began to teach and to share his new understandings. At that point he became known as the Buddha (The Awakened or the Enlightened). The Buddha preached his first sermon at the city of Benaras, most holy of the dipping places on the River Ganges. 13. (a) Which tree is referred to here? 1 (b) What name did he give to it ? 1 (c) Why did he name it so ? 1 (d) Where did he give his first sermon? 1 (e) Which word/phrase in the passage means the same as ‘places for bathing’ ? 1 Read the extract given below and answer the questions that follow. Write the answers in your answer sheet in one or two lines only. Remember to number the answers correctly. 5 marks The moon was coming up in the east, behind me, and stars were shining in the clear sky above me. There wasn’t a cloud in the sky. I was happy to be alone high up above the sleeping countryside. I was flying my old Dakota aeroplane over France back to England. I was dreaming of my holiday and looking forward to being with my family. I looked at my watch: one thirty in the morning. 14. (a) Who is ‘1’ ? 1 (b) What does ‘the sleeping countryside’ mean? 1 (c) What was he doing? 1 (d) What did he think of ? 1 (e) Which phrase in the passage means the same as ‘expecting/anticipating’? 1 Answer the following question in about 80 words. Why does Lencho write a letter to God? What does he experience? OR 47 6 marks Why did Mr. Keesing assign Anne extra homework, an essay on “A Chatterbox” ? How did she justify her being a chatterbox? 15. 16. Answer any two of the following questions in 30-40 words each. (a) Justify, in brief, the title of the play, “The Proposal”. (b) Why was the young seagull afraid to fly ? (c) The people of Coorg have a tradition of courage and bravery. How has it been recognized in modem India? Read the extract given below and answer the questions that follow. Write the answers in your answer sheet. Remember to number the answers correctly. 4 marks 4 marks He should be snarling around houses At the jungle’s edge, Baring his white fangs, his claws, Terrorising the village! (a) Who is ‘he’ ? 1 (b) Where does he snarl around? 1 (c) Why does he do it ? 1 (d) What effect does it have on the whole village? 1 OR All night the roots work to disengage themselves from the cracks in the veranda floor. 17. (a) Where are the roots? 1 (b) What are the roots doing? 2 (c) Where have the cracks appeared? 1 Answer any two of the following questions in 30-40 words each on the basis of the lines given below: (a) 6 marks To say that for destruction ice Is also great For the poet, what does ‘ice’ stand for ? How is it sufficient to bring destruction? 48 3 (b) They do not lie awake in the dark and Weep for their sins, ............... Who are ‘they’? How are they different from human beings? (c) 3 The fog comes on little cat feet. How does the poet compare the fog with cat? Which poetic device is used here? 18. Answer the following question in about 100 words: 3 8 marks Who was Anil ? How did he transform Han Singh’s character? OR Describe the role of Ebright’s mother in making him a scientist. 19. Answer the following question in 30-40 words: 4 marks What did Mrs. Pumphrey do to bring Tricki back to normal health? Was she wise? OR Why were two boys in London surprised? 20. Answer the following question in 20-30 words: 3 marks Why was it not difficult for Horace to open the safe? OR Why did Bishambar’s marriage with Bholi not take place? QUESTION PAPER CODE 2/1 SECTION A (Reading) 1. Read the passage given below and answer the questions that follow: 1. Bhutan is the most appropriate place to visit if one is seeking peace, one’s youth and discovery. October-November is the right time to pay a visit to this beautiful neighbour. Its blue skies, magnificent snow views, crisp mountain air and remarkably well preserved centres of Buddhist culture are worth enjoying. 2. Thimpu is the capital of Bhutan. It is spread along a willow lined river, Wang Chhu. All buildings here are built in the traditional style and adorned with beautiful paintings. Thimpu has no traffic lights, something we Indians are not 49 20 Marks 12 used to. Traffic is directed by policemen, standing on highly decorated boxes. They use exaggerated but elegant gestures to guide it. The main street, Norzim Lam, leads to the town centre and the clock tower with its adjoining hotels, shops and restaurants. 3. Here there are many places worth seeing. One can visit Telecom Tower situated at the height of 8,807 ft. On your way down you can stop at the mini zoo, where you can see goat-antelope, known as Takin. It is Bhutan’s national animal. According to legend this large and certainly strange-looking animal was created by the 15th century saint, Lame Drukpa Kinleyn to prove his magical prowess. 4. In Thimpu, National Memorial Chorten is the most public religious place in the country. This white-domed building with its golden spires was built in 1974 in memory of the third king. Trashi Chhoe Dzong is the seat of the government as well as religious order. Built in the thirteenth century, it was renovated in 1962 when Thimpu became the capital. 5. Here Archery is a favoured sport which can be witnessed on weekends. Thimpu is the base for several walks into the stunning countryside. Indian nationals do not need visas to travel to Bhutan. (302 words) Answer the following questions briefly: (a) When is the right time to visit Bhutan? 1 (b) Mention any two objects of nature which are worth enjoying there. 1 (c) How is the traffic in Thimpu managed without traffic lights? 2 (d) Name the national animal of Bhutan. Where can you see it ? 1 (e) What is the legend associated with its creation? 1 (f) When and why was the National Memorial Chorten built ? 2 (g) Find out from the passage the adjective forms of words given below: 2 (h) (i) appropriately (Para 1) (ii) beauty (Para 2) Find out from the passage the words which mean the same as the following: (i) movements of a part of the body to convey meaning (Para 2) (ii) pointed parts of a tower (Para 4) 50 2 2. Read the passage given below and answer the questions that follow: 8 marks Florence Chadwick was the first woman to swim the English Channel in both directions. At age 34, her goal was to become the first woman to swim from Catalina Island to the California Coast. On the 4th of July morning in 1952, the sea was like an ice bath. The fog was so dense she could hardly see her support boats. She struggled on - hour after hour - while millions watched on television. Alongside Florence in one of the boats, her mother and her trainer offered encouragement. They told her the goal wasn’t much farther. But all she could see was fog. They urged her not to quit. But with only a half mile to go, she asked to be pulled out. Several hours later she told a reporter that it was not fatigue or even the cold water that defeated her. It was the fog. She was unable to see her goal. Two months later she tried again. It was the same dense fog. But she swam with her goal clearly pictured in her mind. She knew that somewhere behind the fog was land. And this time she succeeded. She became the first woman to swim the Catalina Channel, eclipsing the men’s record by two hours. (210 words) (a) What was Florence Chadwick’s goal at the age of 34 ? 1 (b) How did the people witness her performance? 1 (c) How did her mother and her trainer encourage Florence? 2 (d) What made her quit when she had only a half mile to go ? 1 (e) In spite of the same fog, what made her succeed the second time? 2 (f) What record did she set? 1 SECTION B (Writing) 3. Your sister has just got engaged and will get married during the summer holidays. Write a letter to your friend, Sharad, who is in Shimla, informing him about the ceremony and insisting upon him to keep himself entirely free at least for a week for the occasion. You are Kamal/Kamla, of 132, Vijai Complex, Mayur Vihar, Delhi. OR The road of your colony was repaired a few months back. It gave way to the first spell of rains resulting in deep pits at several places. Write a letter to the Chief Engineer of the Public Works Department asking him to get it urgently repaired to prevent risk to the people. You are Kamna/Kartik living at 15, Mansarovar Apartments, Delhi. 51 20 Marks 8 marks 4. Cars, motorbikes and other vehicles have been increasing day by day. They, along with industrial development, are causing a lot of air pollution, not only in big cities but also in small towns and even on hills. Write an article, in about 80 words, on air pollution. 8 marks OR Morning Assembly is one of. the most important parts of school activities. The day in school begins with it. Using the hints given below, write a paragraph in about 80 words on ‘The Importance of Morning Assembly in Schools’. School begins with it - presence of all students and teachers brings dignity - inculcates discipline, punctuality, good conduct, cleanliness etc. - activities such as speeches, cultural items lead to participation of all students - sets the tone/atmosphere for the whole day 5. N.C.C. cadets of your school participated in a training camp. Mentioning the number of participants, activities of the camp, qualities such as discipline, self-confidence, spirit of adventure developed during the training, write a report in about 60 words for your school magazine. You are Raman/Rama, Senior Cadet, N.C.C. of Arunodaya Sr. Sec. School, Guwahati. 4 marks OR On the World Child Labour Day, your school worked for the cause of those children who labour as cleaners on roads, at roadside eateries, in hazardous industries etc. Mentioning the efforts made by the students in identifying such children in your area and getting them freed from there, write a report in about 60 words. You are Manoj/ Manju, Head Boy / Head Girl of Mamta Sr. Sec. School, Sarojini Nagar, Delhi. SECTION C (Grammar) 6. 15 Marks The following passage has not been edited. There is one error in. each line. Write the incorrect word and the correction in your answer sheet as given below against the correct blank number. Remember to underline the word that you have supplied. ½x6=3marks Robinson and his friend lived at ego at - in peace for near a year. They (a) had everything that he needed. (b) They had so much to learning (c) that the time passed very quick. (d) Soon they knew how to dig a (e) 52 soil, grind the corn etc. They learned not to being afraid of guns. 7. (f) Fill in the following blanks with suitable non-finites: ½x4=2 marks Yesterday the police came (a) _______________________ (know) about a person who was involved in (b) ___________________________ (print) and (c) _____________________ (sell) of pirated best-sellers. He had been involved in this activity for several years. Around twenty thousand (d) _______________ (pirate) books were recovered from him. 8. Read the dialogue and complete the passage given below. Write the correct answers in your answer sheet against the correct blank numbers. Do not copy the whole sentences. 1x3=3 marks Sumit : My father has decided to gift me a bike on my birthday. Vipul O ! It is a wonderful news. : Sumit : We will go on a long ride the day I get the bike. Sumit informed his friend Vipul (a) __________________ on his birthday. Vipul was very happy and said that for him (b) _________________. Sumit told Vipul (c) ___________________ on a long ride the day he got the bike. 9. Look at the words and phrases below. Rearrange them to form meaningful sentences. The first one has been done as an example. Write the correct sentences in your answer sheet. Remember to number the answers correctly. 1x2=2 marks Example: revered / all over / Dalai Lama / world / the / is Dalai Lama is revered all over the world. 10. (a) lives / as a / very / simple / he / monk / life / a (b) six / for about / a day / sleeps / hours / he Look at the sentences given below and complete the paragraph that follows. Write the correct answers in your answer sheet against the correct blank numbers. Do not copy the whole sentences. 1x3=3 marks (a) People sent messages by reflecting light. (b) People also used smoke for this purpose. 53 (c) Sometimes they made fire signals to send messages. People used several methods to communicate messages in ancient times. Sometimes messages (a) __________________________ by reflecting light. Smoke (b) __________________. Sometimes fire signals (c) ______________ to send messages. 11. The underlined words in the following passage have been used inappropriately. Replace them with their appropriate forms. Write your answers in your answer sheet against the correct numbers. Do not copy the whole passage. ½x4=2 We celebrate certain events because they are (a) importance in our life. These are the days of (b) funny and laughter, joy and gaiety. Festivals are (c) main of two kinds. Some are (d) nation festivals and some are religious festivals. SECTION D (Text Books) 12. Read the extract given below and answer the questions that follow. Write the answers in your answer sheet in one or two lines only. Remember to number the answers correctly. 45 Marks 5 marks It was the postman himself who handed the letter to him while the postmaster, experiencing the contentment of a man who has performed a good deed, looked on from his office. Lencho showed not the slightest surprise on seeing the money; such was his confidence - but he became angry when he counted the money. 13. (a) Who delivered the letter and to whom? 1 (b) What did the postmaster do in the meantime? 1 (c) Which ‘good deed’ is referred to here? 1 (d) Why was Lencho not surprised on seeing the money? 1 (e) Find the noun form of the word ‘content’ from the passage. 1 Read the extract given below and answer the questions that follow. Write the answers in your answer sheet in one or two lines only. Remember to number the answers correctly. All I think about when I’m with friends is having a good time. I can’t bring myself to talk about anything but ordinary everyday things. We don’t seem to be able to get any closer, and that’s the problem. Maybe it’s my fault that we don’t 54 5 marks confide in each other. In any case, that’s just how things are, and unfortunately they’re not liable to change. This is why I’ve started the diary. 14. (a) What does Anne think about when she is with friends? 1 (b) Mention any two problems which she thinks she has in relation to her friends. 2 (c) What is the reason for her to start writing a diary? 1 (d) Which word in the passage means the same as ‘to tell personal things privately to a person that one trusts’ ? 1 Answer the following question in about 80 words: 6 marks The pilot is lost in storm clouds. How does he reach safely? OR Describe Coorg’s weather, main crops and the sports which fascinate the visitors. 15. 16. Answer any two of the following questions in 30 - 40 words each: (a) What is the play, ‘The Proposal’ about? (b) Where in the classroom does Wanda sit and why? (c) Why was the young seagull afraid to fly with his brothers and sisters? Read the extract given below and answer the questions that follow. Write the answers in your answer sheet. Remember to number the answers correctly. 4 marks 4 marks Now the name of the little black kitten was Ink, And the little grey mouse, she called him Blink, And the little yellow dog was sharp as Mustard, But the dragon was a coward, and she called him Custard. (a) Who are the characters in this stanza? 2 (b) Who is ‘she’ ? 1 (c) What does she call the dragon? 1 OR The way a crow Shook down on me The dust of snow From a hemlock tree 55 17. (a) What is the dust of snow? 1 (b) Who shook it down? 1 (c) What does ‘the dust of snow’ stand for? 1 (d) What is a “hemlock tree” ? 1 Answer any two of the following questions in 30 - 40 words each, on the basis of the lines given below: (a) 6 marks On pads of velvet quiet, In his quiet rage. Who is referred to here? Why does he express his anger quietly? (b) (I am an orphan, roaming the street. ...) Who is ‘I’ ? Is she an orphan? Why does she say so ? (c) 3 3 long-cramped boughs shuffling under the roof like newly discharged patients Why does the poet compare branches with patients? 18. Answer the following question in about 100 words: 3 8 marks Science is a good servant but a bad master. How is this applicable to Griffin’s scientific discovery? Give examples from the text. OR Mrs. Pumphrey is a very loving and caring mistress for Tricki. Do you agree? Give a reasoned answer. 19. Answer the following question in 30 - 40 words: 4 marks How did Hari Singh know that Anil had forgiven him? OR What lesson did Ebright learn when he did not win anything at a science fair? 20. Answer the following question in 20 - 30 words: Why did Monsieur Loisel go out into the cold night minutes after returning from the ball ? Was he successful in his errand? OR Why was the twentieth century called the ‘Era of the Book’ ? 56 3 marks Strictly confidential – (For Internal and Restricted Use Only) Secondary School Examination March 2009 Marking Scheme – English Language and Literature General Instructions 1. The Marking Scheme provides general guidelines to reduce subjectivity in the marking. The answers given in the Marking Scheme are the suggested answers. The content is thus indicative. If the student has given any other answer, which is different from the one given in the Marking Scheme, but conveys the meaning, such answers should be given full weightage. 2 Evaluation is to be done as per the instructions provided in the Marking Scheme. It should not be done according to one’s own interpretation or any other consideration. Marking Scheme should be strictly adhered to and religiously followed. 3 If the question has parts, please award marks in the right hand side for each part. Marks awarded to the different parts of the question should then be totalled up and written in the left hand margin and circled. 4 If the question does not have any parts, marks will be awarded in the left-hand margin. 5 If the candidate has attempted any extra question or part, marks obtained in the best question/part should be retained and the other answer should be scored out. 6 In the Marking Scheme, a slash ( / ) indicates alternative answers ; any one such answer is counted as correct . 7 Brackets ( ) indicate optional information ; the mark is awarded whether the part in brackets is included or not. 8 Student should not be penalised if he/she does not follow the order of the section / question while answering. 9 In questions requiring word limit, no marks are to be deducted for exceeding the word limit. 10 Q.1 , Q.2 , Q.12 , Q.13 and Q.16 are meant to test the comprehension ability of the candidates and not the ability of expression. Full credit should be given for the correct value point, even if the answer is not given in a full sentence. 57 11 In questions consisting of 3 or more than 3 marks, break-up of marks should be shown separately (as suggested in the Marking Scheme) and then totalled. 12 Some of the questions may relate to higher order thinking ability/skills (HOTS). These questions have been indicated separately by putting * on the question number. These questions are to be evaluated carefully and the students’ understanding / analytical ability be judged. 13 A full scale of marks 0 to 100 has to be used. Please do not hesitate to award full marks if the answer deserves it. QUESTION PAPER CODE 2/1/1 SECTION A (Reading ) 1. 20 Marks Objectives : To identify the main points of the text and to deduce the meanings of unfamiliar lexical items. Marking : Award full mark(s) for each value point. No penalty for errors in spelling, grammar or punctuation. Accept any other answer similar in meaning to the answers given below. (a) October - November 1 (b) blue skies ; snow views / peaks , crisp mountain air (any two) 1/2 + 1/2 (c) - by policemen standing on boxes - through exaggerated gestures 1+1 (d) Takin / goat-antelope ; at the mini zoo 1/2 + 1/2 (e) - created by saint Lame Drukpa Kinleyn - to show his magical prowess 1/2 + 1/2 (f) in 1974 ; in memory of the third king 1+1 (g) (i) appropriate 1 (ii) beautiful 1 (h) (i) gestures 1 (ii) spires 1 12 marks 58 2 Objectives : To identify the main points of the text and to deduce the meaning of unfamiliar lexical items. Marking : Award full mark(s) for each value point. No penalty for errors in spelling, grammar or punctuation. Accept any other answer similar in meaning to the answers given below. (a) to become the first woman to swim from Catalina island to California coast 1 (b) on television 1 (c) - told her that goal wasn’t much farther - urged her not to quit (d) 1+1 unable to see the goal (due to fog) 1 *(e) - goal clearly pictured in her mind - thinking that land was somewhere behind the fog (f) 1+1 first woman to swim the Catalina channel / eclipsing men’s record by two hours 1 8 marks SECTION B (Writing) 3 20 Marks Letter Writing Objective : To use an appropriate style and format to write a letter of complaint, requests etc. (formal) and to family and friends etc.(informal) - To plan, organize and present ideas coherently Marking : Marking should be in accordance with the following writing assessment scale - Layout : 2 marks - Content : 3 marks - Expression : 3 marks * Grammatical accuracy, appropriate words and spellings (1–1/2) * Coherence and relevance of ideas and style (1–1/2) Layout : layout includes sender’s address, date, designation and address of addressee, subject, salutation, complementary close etc. according to requirement 59 Under content, credit should be given for the candidate’s creativity in presenting his/her own ideas. Note : - No mark is to be awarded if the content is not given or wrong - Use of both the traditional and the new format is permitted. However mixing of the two is NOT acceptable Value Points are provided in the question paper itself. 4 8 marks Article / Paragraph Objective : To use an appropriate style to write an article, a paragraph etc. expressing your opinion. - To plan, organize and present ideas coherently. - To present an argument Marking : Marking should be in accordance with the following writing assessment scale - Format (Title/Heading) : 1 mark - Content : 4 marks - Expression : 3 marks * Grammatical accuracy, appropriate words and spellings (1–1/2) * Coherence and relevance of ideas and style (1–1/2) - Under content, credit should be given for the candidate’s creativity in presenting his/her own ideas. Article : The detailed value points are provided in the question paper itself OR 8 marks Paragarph : The detailed value points are provided in the question paper itself 5 Report Writing Objective : To use an appropriate style to write a report, expressing opinion - To plan, organize and present ideas coherently. - To present an argument Marking : Marking should be in accordance with the following writing assessment scale 60 - Format (Headline/dateline ; Reporter ) : 1 mark - Content : 2 marks - Expression : 1 mark * Grammatical accuracy, appropriate words and spellings (1/2) * Coherence and relevance of ideas and style (1/2) Note : Under content credit should be given for the candidate’s creativity in presenting his/ her own ideas. 4 marks Reports : The detailed value points are provided in the question paper itself SECTION C (Grammar) 6 15 Marks Objective : To use grammatical items accurately and appropriately . Marking : 1/2 mark for each correct answer 7 (a) a - an (b) or - and (c) beings - being (d) an - the (e) bird - birds (f) in - on 1/2 x 6 = 3 marks Objective : To test knowledge of syntax and appropriate use of grammar. Marking : 1/2 mark for each correct answer (a) to visit (b) standing (c) to have (d) playing 8 1/2 x 4 = 2 marks Objective : To test the use of reported speech Marking : 3 marks ( one mark for each blank ) (a) if there was anything 61 (b) that she was preparing his lunch (c) it would be ready in just 10 minutes 9 1 x 3 = 3 marks Objective : To reorder sense groups into a syntactically coherent and complete sentences. Marking : 2 marks ( one mark for each correct answer ) (a) Her mother made a big cake on that occasion . (b) Ishita invited many friends to the party . 10 1 x 2 = 2 marks Objective : To test the correct use of voice Marking : 3 marks ( one mark for each blank ) (a) was allowed to speak ( by Brutus ) (b) was addressed by Antony (c) were aroused to revolt / revolted on being aroused 11 1 x 3 = 3 marks Objective : To test appropriate use of words Marking : 2 marks ( half mark for each correct answer ) (a) treatment (b) favourite (c) reception (d) winning 1/2 x 4 = 2 marks SECTION D (Text Books) 12 45 Marks Objective : To test local and global understanding of prose passage Marking : 1 mark for each value point (a) fig tree 1 (b) Bo Tree / Tree of Wisdom 1 (c) got enlightenment / wisdom under the tree 1 (d) at Beneras 1 (e) ‘dipping places’ 1 5 marks 62 13 Objective : To test local and global understanding of prose passage Marking : 1 mark for each value point (a) the pilot of the Dakota aeroplane 1 (b) entire area calm and quiet / people sleeping, not yet awake 1 (c) flying his Dakota 1 (d) of holiday ; to be with his family (e) looking forward 1/2 + 1/2 1 5 marks *14 Objective : To test knowledge and extrapolation of the text. Marking : Content 4 marks ; Expression 2 marks - Lencho’s crop completely destroyed due to hailstorms - has unflinching trust in God - belief no one would help except God - therefore only hope for survival and so writes a letter - gets less amount than asked for - sure, God could neither commit mistakes, nor would send less - doubts the integrity of the post office employees OR - Mr. Keesing , annoyed with Anne for being too talkative - assigned homework as a punishment - proved the necessity of talking / arguing - is a student’s trait - inherited from her mother - talked as much as Anne - could not do anything about inherited traits - so wouldn’t be able to cure herself of it - would do her best to keep it under control 15 Objective : To test local and global knowledge of the play. Marking : Content 1 mark ; Expression 1 mark *(a) - whole play revolves around a marriage proposal 63 6 marks - Ivan Lomov, a wealthy youngman , seeks the hand of his wealthy neighbour Chubukov’s daughter, Natalya - quarrel over petty issues - ultimately proposal is made for economic good sense - thus title is appropriate (b) - fear of the great expance and depth of the sea - lack of confidence and courage / his belief that his wings would not support him (c) - Coorg Regiment is one of the most decorated in the Indian army / have received maximum number of awards for bravery in war - Ist chief of the Indian Army , General Kariappa was a Coorgi - Kodavus , the only people in India permitted to carry firearms without a license (any two) 16 4 marks Objective : To test local and global understanding of the poem Marks : 4 marks ( 1 each ) (a) the tiger 1 (b) houses situated at the boundary 1 (c) to catch / to eat livestock or humans 1 (d) is terrorised 1 OR 17 4 marks (a) in the floor / in the cracks of the veranda floor 1 (b) trying to separate themselves / to come out 2 (c) in the veranda floor 1 Objective : To test the knowledge of theme as contained in the poem Marking : 3 marks ( Content : 2 , Expression : 1 ) (a) - ice stands for coldness / indifference / insensitivity / rigidity - sufficient to end the world if unchecked (b) - animals 64 3 - human beings commit sins , then repent / weep - behave naturally / do not grudge their condition / don’t cry 3 (c) - fog compared with the cat / cat’s feet - both very soft / create no sound / move silently - metaphor 3 (any two) 18 6 marks Objective: To test knowledge and appreciation of the text Marking : 8 marks Content : 5 marks Expression : 3 marks - Anil , a writer , simple , kind, noble minded - trusting and generous - gives keys to Hari Singh, a thief - teaching Hari Singh to cook , read and write - didn’t mind Hari Singh’s cheating in daily purchases - did not expose Hari Singh for his stealing his 600 rupees - gives opportunity to reform - conscience pricks - puts back 600 rupees - Hari Singh turned into a respectable man by his love and sympathy OR 8 marks - encouraged Ebright’s interest in learning - helped him - took him on trips, bought him telescope, microscope etc. - his companion - worked with him at night - did things together - made learning things easy - got him children’s book, ‘The Travel of Monarch’ which opened the world of science to him 19 Objective : To test the knowledge and understanding of the text Marking : 4 marks ( Content : 2 , Expression : 2 ) - thought - Tricki suffering from malnutrition - gave him extras - malt, cod-liver oil , cream, cakes, chocolates, bowl of horlics - no, did not succeed - went against his health 65 4 marks OR - saw the fresh muddy footprints on the steps of a house in the middle of London - there was no man visible, a fresh footmark appeared from nowhere followed by other footmarks till they disappeared 20 Objective : To test the knowledge and understanding of the text Marking : 3 marks ( Content : 2 , Expression : 1 ) - Horace an expert lock-maker - had lived with safes and locks all his life OR 3 marks - Bishambar saw pock-marks on Bholi’s face during wedding ceremony - asked Bholi’s father for five thousand rupees as dowry - father gave the money but Bholi refused to marry the greedy man QUESTION PAPER CODE 2/1 SECTION A (Reading ) 1. 20 Marks Objectives : To identify the main points of the text and to deduce the meanings of unfamiliar lexical items. Marking : Award full mark(s) for each value point. No penalty for errors in spelling, grammar or punctuation. Accept any other answer similar in meaning to the answers given below. (a) October - November 1 (b) blue skies ; snow views / peaks , crisp mountain air (any two) 1/2 + 1/2 (c) - by policemen standing on boxes - through exaggerated gestures 1+1 (d) Takin / goat-antelope ; at the mini zoo 1/2 + 1/2 (e) - created by saint Lame Drukpa Kinleyn - to show his magical prowess 1/2 + 1/2 (f) in 1974 ; in memory of the third king 1+1 (g) (i) appropriate 1 (ii) beautiful 1 66 (h) (i) gestures 1 (ii) spires 2 1 12 marks Objectives : To identify the main points of the text and to deduce the meaning of unfamiliar lexical items. Marking : Award full mark(s) for each value point. No penalty for errors in spelling, grammar or punctuation. Accept any other answer similar in meaning to the answers given below. (a) to become the first woman to swim from Catalina island to California coast 1 (b) on television 1 (c) - told her that goal wasn’t much farther - urged her not to quit (d) 1+1 unable to see the goal (due to fog) 1 *(e) - goal clearly pictured in her mind - thinking that land was somewhere behind the fog (f) 1+1 first woman to swim the Catalina channel / eclipsing men’s record by two hours 1 8 marks SECTION B (Writing) 3 20 Marks Letter Writing Objective : To use an appropriate style and format to write a letter of complaint, requests etc. (formal) and to family and friends etc.(informal) - To plan, organize and present ideas coherently Marking : Marking should be in accordance with the following writing assessment scale - Layout : 2 marks - Content : 3 marks - Expression : 3 marks * Grammatical accuracy, appropriate words and spellings (1–1/2) * Coherence and relevance of ideas and style (1–1/2) 67 Layout : layout includes sender’s address, date, designation and address of addressee, subject, salutation, complementary close etc. according to requirement Under content, credit should be given for the candidate’s creativity in presenting his/her own ideas. Note : - No mark is to be awarded if the content is not given or wrong - Use of both the traditional and the new format is permitted. However mixing of the two is NOT acceptable Value Points are provided in the question paper itself. 4 8 marks Article / Paragraph Objective : To use an appropriate style to write an article, a paragraph etc. expressing your opinion. - To plan, organize and present ideas coherently. - To present an argument Marking : Marking should be in accordance with the following writing assessment scale - Format (Title/Heading) : 1 mark - Content : 4 marks - Expression : 3 marks * Grammatical accuracy, appropriate words and spellings (1–1/2) * Coherence and relevance of ideas and style (1–1/2) - Under content, credit should be given for the candidate’s creativity in presenting his/her own ideas. OR 8 marks Paragarph : The detailed value points are provided in the question paper itself 5 Report Writing Objective : To use an appropriate style to write a report, expressing opinion - To plan, organize and present ideas coherently. - To present an argument 68 Marking : Marking should be in accordance with the following writing assessment scale - Format (Headline/dateline ; Reporter ) : 1 mark - Content : 2 marks - Expression : 1 mark * Grammatical accuracy, appropriate words and spellings (1/2) * Coherence and relevance of ideas and style (1/2) Note : Under content credit should be given for the candidate’s creativity in presenting his/ her own ideas. 4 marks Reports : The detailed value points are provided in the question paper itself SECTION C (Grammar) 6 15 Marks Objective : To use grammatical items accurately and appropriately . Marking : 1/2 mark for each correct answer 7 (a) near - nearly (b) he - they (c) learning - learn (d) quick - quickly (e) a - the (f) being - be 1/2 x 6 = 3 marks Objective : To test knowledge of syntax and appropriate use of grammar. Marking : 1/2 mark for each correct answer (a) to know (b) printing (c) selling (d) pirated 8 1/2 x 4 = 2 marks Objective : To test the use of reported speech 69 Marking : 3 marks ( one mark for each blank ) (a) that his father had decided to gift him a bike (b) it was a wonderful news (c) that they would go 9 1 x 3 = 3 marks Objective : To reorder sense groups into a syntactically coherent and complete sentences. Marking : 2 marks ( one mark for each correct answer ) (a) As a monk he lives a very simple life. / He lives a very simple life as a monk. (b) He sleeps for about six hours a day . 10 1 x 2 = 2 marks Objective : To test the correct use of voice Marking : 3 marks (one mark for each blank ) (a) were sent (by people) (b) was also used for this purpose (c) were made (by them) 11 1 x 3 = 3 marks Objective : To test appropriate use of words Marking : 2 marks ( half mark for each correct answer ) (a) important (b) fun (c) mainly (d) national 1/2 x 4 = 2 marks SECTION D (Text Books) 12 45 Marks Objective : To test local and global understanding of prose passage Marking : 1 mark for each value point (a) postman, to Lencho 1/2 + 1/2 (b) looked on 1 (c) collected the money to send it to Lencho 1 (d) his faith in God / God would send the money 1 (e) ‘contentment’ 1 5 marks 70 13 Objective : To test local and global understanding of prose passage Marking : 1 mark for each value point (a) having a good time 1 (b) - talks ordinary everday things - don’t get closer or intimate 2 (c) can’t confide / can’t share secrets / can’t open her heart with friends 1 (d) confide 1 5 marks 14 Objective : To test knowledge and extrapolation of the text. Marking : Content 4 marks ; Expression 2 marks First pilot’s loss of direction - flying to England at midnight - surrounded by storm clouds - became dark all over - couldn’t see direction - radio and compass stopped working - not enough fuel - could not contact anyone Sudden appearance of black aeroplane in the clouds - saw the pilot ‘s face - pilot waved his hand - guided / signalled the first pilot to follow - followed like a child - came out of the clouds - reached the runway landed safely OR 6 marks Coorg’s weather - during monsoons , rains heavily - visitors keep away - perfect weather September to March - season of joy - breathes of invigorating coffee - moderate rains Main crops - spices and coffee plantations - evergreen rainforests Sports - high-energy adventure with river rafting , canoeing, rappelling, rock climbing and mountain biking 15 Objective : To test local and global knowledge of the play. Marking : Content 1 mark ; Expression 1 mark 71 (a) - the play is about a marriage proposal - Ivan Lomov, a wealthy youngman , seeks the hand of his wealthy neighbour, Chubukov’s daughter, Natalya (b) - corner of the classroom / sat in the seat next to the last seat in the last row in room number 13 - to hide her feet covered with dust and mud (c) - vast expanse of the sea, stretched down beneath - long way down - miles down (any two) 4 marks - felt certain - wings would never support him 16 Objective : To test local and global understanding of the poem Marks : 4 marks ( 1 each ) (a) kitten/Ink, mouse/Blink, dog/Mustard and dragon/Custard (1/2 each) 2 (b) Belinda 1 (c) Custard 1 OR 17 4 marks (a) soft fine powder of snow / particles of snow 1 (b) a crow 1 (c) something pleasant 1 (d) a poisonous plant with small white flowers 1 Objective : To test the knowledge / theme as contained in the poem Marking : 3 marks ( Content : 2 , Expression : 1 ) (a) - the tiger - being encaged , is helpless (can’t harm anyone) 3 (b) - Amanda - not an orphan - imagine to be roaming with freedom (freedom is sweet) 3 (c) - branches which were prevented from moving for a long time are now moving - compared with those patients who were confined to bed and are newly discharged (both - branches and patients - moving from one position to another) (any two) 72 3 6 marks * 18 Objective : To test knowledge and appreciation of the text Marking : 8 marks Content : 5 marks Expression : 3 marks - invented a rare drug - body became transparent / invisible - discovery used not for the benefit of mankind - misused his discovery - sets fire to the Landlord’s house - robs London Store, hits a shopkeeper and robs him - stole money from clergyman’s house, misbehaves with the landlord and his wife - hits people and policeman at the bar OR 8 marks - a rich lady - kind and considerate - has a small pet dog , Tricki - gets much worried about Tricki’s health but doesn’t follow doctor’s advice - out of love gives him extra diet - malt, cod liver oil, bowl of horlicks, to build up his health - bewails when taken to surgery - sends set of dresses, beds and bowls , eggs and wine for the dog - enquires several times in a day about his health - sheds tears of joy seeing Tricki fully cured 19 Objective : To test the knowledge and understanding of the text Marking : 4 marks ( Content : 2 , Expression : 2 ) - Anil gave Hari Singh the note he had stolen - note was still wet but did not expose his theft - said they would resume writing sentences OR 4 marks - displayed slides of frog tissues - showed under a microscope - winners tried to do real experiments - not simply making a neat display - got a hint of what real science is 73 20 Objective : To test the knowledge and understanding of the text Marking : 3 marks ( Content : 2 , Expression : 1 ) - to look for the necklace belonging to Madame Forestier and lost by his wife - no , went to all the places including the police station , cab companies and newspaper offices but was not successful OR 3 marks - there were books about everything from anteaters to Zulus - books taught people how to , and when to , and where to and why to - illustrated , educated , punctuated and even decorated 74 fgUnh ¼ikB~;Øe v½ fu/kkZfjr le; % 3 ?kaVs funs'Z k % vf/kdre vad % 100 (i) bl iz'ui=k ds pkj [k.M gSa & ^d*] ^[k*] ^x* vkSj ^?k*A (ii) pkjksa [k.Mksa ds iz'uksa ds mÙkj nsuk vfuok;Z gSA (iii) ;FkklaHko izR;sd [k.M ds mÙkj Øe'k% fyf[k,A iz'ui=k la[;k 3@1@1 [kaM 1- ^d* fuEufyf[kr x|ka'k dks /;kuiwod Z i<+dj iwNs x, iz'uksa ds mÙkj nhft, % tgk¡ Hkh nks ufn;k¡ vkdj fey tkrh gS]a ml LFkku dks vius ns'k esa rhFkZ dgus dk fjokt+ gSA vkSj ;g dsoy fjokt+ dh ckr ugha gS( ge] lpeqp] ekurs gSa fd vyx&vxy ufn;ksa esa Luku djus ls ftruk iq.; gksrk gS] mlls dgha vf/kd iq.; laxe Luku eas gSA fdUrq] Hkkjr vkt ftl nkSj ls xqtj jgk gS] mlesa vlyh laxe os LFkku] os lHkk,¡ rFkk os eap gS]a ftu ij ,d ls vf/kd Hkk"kk,¡ ,d=k gksrh gSAa ufn;ksa dh fo'ks"krk ;g gS fd os viuh /kkjkvksa esa vusd tuinksa dk lkSjHk] vusd tuinksa ds vk¡lw vkSj mYykl fy, pyrh gSa vkSj mudk ikjLifjd feyu okLro esa ukuk tuinksa ds feyus dk gh izrhd gSA ;gh gky Hkk"kkvksa dk Hkh gSA muds Hkhrj Hkh ukuk tuinksa esa clus okyh turk ds vk¡lw vkSj meax]as Hkko vkSj fopkj] vk'kk,¡ vkSj vk'kadk,¡ lekfgr gksrh gSAa vr% tgk¡ Hkk"kkvksa dk feyu gksrk gS] ogk¡ okLro es]a fofHkUu tuinksa ds ân; gh feyrs gS]a muds Hkkoksa vkSj fopkjksa dk gh feyu gksrk gS rFkk fHkUurkvksa esa fNih gqbZ ,drk ogk¡ dqN vf/kd izR;{k gks mBrh gSA bl n`f"V ls Hkk"kkvksa ds laxe vkt lcls cM+s rhFkZ gSa vkSj bu rhFkks± esa tks Hkh Hkkjroklh J)k ls Luku djrk gS] og Hkkjrh; ,drk dk lcls cM+k flikgh vkSj lar gSA gekjh Hkk"kk,¡ ftruh gh rst+h ls txsxa h] gekjs fofHkUu izn's kksa dk ikjLifjd Kku mruk gh c<+rk tk,xkA Hkkjrh; ys[kdksa dh cgqr fnuksa ls ;g vkdka{kk jgh Fkh fd os dsoy viuh gh Hkk"kk esa izfl) gksdj u jg tk,¡] cfYd Hkkjr dh vU; Hkk"kkvksa esa Hkh muds uke igqp ¡ as vkSj mudh d`fr;ksa dh ppkZ gksA Hkk"kkvksa ds tkxj.k ds vkjaHk gksrs gh ,d izdkj dk vf[ky Hkkjrh; eap vki&ls&vki izdV gksus yxk gSA vkt izR;sd Hkk"kk ds Hkhrj ;g tkuus dh bPNk mRiUu gks xbZ gS fd Hkkjr dh vU; Hkk"kkvksa esa D;k gks 75 jgk gS] muesa dkSu&dkSu ,sls ys[kd gSa ftudh d`fr;k¡ mYys[kuh; gSa rFkk dkSu&lh fopkj/kkjk ogk¡ izHkqlÙkk izkIr dj jgh gSA ¼i½ ys[kd us vk/kqfud laxe LFky fdldks ekuk gS vkSj D;ks\a ¼ii½ Hkk"kk&laxeksa esa Hkkjr dh fdu fo'ks"krkvksa dk laxe gksrk gS\ ¼iii½ ys[kd us lcls cM+k flikgh vkSj lUr fdldks dgk gS\ ¼iv½ vyx&vyx izn's kksa esa vkilh Kku fdl izdkj c<+ ldrk gS\ ¼v½ LojkT;&izkfIr ds mijkUr fofHkUu Hkk"kkvksa ds ys[kdksa esa D;k ftKklk mRiUu gqbZ\ ¼vi½ Hkk"kkvksa ds tkxj.k ls ys[kd dk D;k vfHkizk; gS\` ¼vii½ x|ka'k dk mi;qDr 'kh"kZd nhft,A ¼viii½ fuEufyf[kr 'kCnksa ds lekukFkhZ crkb, & lkSjHk] vkdka{kk ¼ix½ ^mYys[kuh;* rFkk ^ikjLifjd* 'kCnksa esa izR;; vyx dhft,A ¼ix½ fuEufyf[kr 'kCnksa ds foijhrkFkhZ crkb, & fHkUurk] izR;{k 2- fuEufyf[kr dkO;ka'kksa esa ls fdlh ,d dks i<+dj iwNs x, iz'uksa ds mÙkj fyf[k, % ohj tokuks] lquks] rqEgkjs lEeq[k ,d loky gSA ftl /kjrh dks rqeus lhapk vius [kwu&ilhuksa ls] gkj xbZ nq'eu dh xksyh otz ljh[ks lhuksa lsA tc&tc mBha rqEgkjh ck¡g]as gksrk o'k esa dky gSA ftl /kjrh ds fy, lnk rqeus lc dqN dqckZu fd;k] 'kwyh ij p<+&p<+ g¡l&g¡l dj dkydwV dk iku fd;kA tc&tc rqeus dne c<+k;k] gqbZ fn'kk,¡ yky gSAa ml /kjrh dks VqdM+&s VqdM+s djuk pkg jgs nq'eu] cM+s xkSj ls vtc rqEgkjh pqIih Fkkg jgs nq'eu] 76 2 2 1 1 1 1 1 1 1 1 2x4 = 8 tkfr&ik¡fr] oxks±&fQjdksa ds] og QSykrk tky gSA dqN ns'kksa dh yksyqi ut+jas yxh rqEgkjh vksj gS]a dqN vius gh t;panksa ds eu esa cSBk pksj gSA lko/kku dj nks mldks tks igus diVh [kky gSA ¼i½ ^/kjrh* 'kCn ls dfo dk D;k vfHkizk; gS\ mlds fy, ohjksa us D;k fd;k gS\ ¼ii½ ^/kjrh* ds nq'eu dkSu gS\a os fdu :iksa esa mlds VqdM+s djuk pkgrs gS\a ¼iii½ ^vius gh t;panks*a ls D;k rkIi;Z gS\ muds eu esa dkSu&lk pksj cSBk gqvk gS\ ¼iv½ ^lko/kku dj nks mldks tks igus diVh [kky gS* iafDr dk vk'k; Li"V dhft,A vFkok _f"k&eqfu;ks]a lk/kq&lUrksa dks ueu] mUgsa esjk vfHkuUnuA ftuds ri ls iwr gqbZ gS Hkjr ns'k dh Lof.kZe ekVh ftuds Je ls pyh vk jgh ;qx&;qx ls vfojy ifjikVhA ftlds la;e ls 'kksfHkr gS tu&tu ds ekFks ij panuA dfBu vkRe&eaFku ds fgr tks vfl&/kkjk ij pyrs gSa ij&izdk'k fgr fi?ky&fi?ky dj ekse&nhi&lk tyrs gSAa ftuds mins'kksa dks lqudj l¡oj tk, tu&tu dk thouA lR;&vfgalk ftuds Hkw"k.k d#.kke; gS ftudh ok.kh ftuds pj.kksa ls gS ikou Hkkjr dh ;g vfeV dgkuhA 77 muds gh vk'kh"k] 'kqHksPNk] ikus dks djrk in&oanuA ¼i½ Hkkjr ds _f"k&eqfu;ksa us Hkkjr dks fdu&fdu :iksa esa Lof.kZe cuk;k gS\ ¼ii½ ^dfBu vkRe&eaFku ds fgr] tks vfl /kkjk ij pyrs gS*a dkO;ka'k dk vk'k; Li"V dhft,A ¼iii½ nwljksa ds fy, ^ekse&nhi&lk* tyus dk D;k rkRi;Z gS\ ¼iv½ _f"k&eqfu fdu fo'ks"krkvksa ds dkj.k oanuh; gS\a [k.M & ^[k* 3- fuEufyf[kr esa ls fdlh ,d fo"k; ij fuca/k fyf[k, % 10 ¼d½ vkius dqN fnu iwoZ viuh eupkgh Vh&20 Vhe dk jksekapd eSp ns[kk gSA ml eSp dk vk¡[kks&a ns[kk o.kZu djrs gq, mldh t;&ijkt; dh vuqHkwfr;ksa dks vius 'kCnksa esa izLrqr dhft,A ¼[k½ ifjogu dh fnu&izfrfnu dh dfBukb;ksa ls NqVdkjk ikus ds fy, lhfer vk; dk O;fDr ,d okgu [kjhn ysrk gSA fdUrq vkdk'k dks Nwrh iSVkª y s dh dherksa ds dkj.k vc mlds fy, okgu dk j[k&j[kko nwHkj dk;Z gks x;k gSA ,slh fLFkfr esa Q¡ls ml O;fDr dh dfBukb;ksa dk o.kZu dhft,A ¼x½ Vsyhfot+u ,dkdhiu dk lkFkh] euksjt a u dk lk/ku vkSj Kku&o/kZu dk ek/;e gS] fdUrq mldk O;lu 'kjhj vkSj eu nksuksa ds fy, gkfudkjd Hkh gSA bl fo"k; ij vki D;k lksprs gS]a vius fopkj fuca/k ds :i esa fyf[k,A 4- /kweiz ku djus okys fe=k dks bl O;lu ds nks"kksa dk mYys[k djrs gq, i=k fy[kdj blls eqDr gksus dh lykg nhft,A 5 vFkok vki viuh dkWyksuh@dLcs dh fgrdkjh lfefr ds lfpo gSAa lfefr ds okf"kZd mRlo ds volj ij {ks=k ds iqfyl v/kh{kd dks eq[; vfrfFk ds :i esa i/kkjus ds fy, vkxzg djrs gq, ,d fuea=k.k i=k fyf[k,A [k.M && ^x* 5- ¼d½ fuEufyf[kr okD;ksa esa ls fØ;k&inksa dks Nk¡Vdj deZ ds vuqlkj muds Hksn fyf[k,% ¼i½ og jkr Hkj tkxrk jgkA ¼ii½ lsod ,d vko';d i=k yk;kA 78 2 ¼[k½ fuEufyf[kr okD;ksa ls vO;; in Nk¡Vdj muds Hksn Hkh crkb,% 6- ¼i½ fo|k ds fcuk gekjk thou i'kq&rqY; gSA ¼ii½ og chekj gS] blfy, vkt vodk'k ij gSA 2 fuEufyf[kr okD; esa js[kkafdr inksa dk ifjp; nhft,% 3 eSua s ,d yM+kdw foeku ns[kkA 7- fuEufy[kr okD;ksa dk funs'Z kkuqlkj cnfy,% 3 ¼i½ eSa ubZ dkj [kjhnwx¡ kA eSa iqjkuh dkj ugha [kjhnwx¡ kA ¼ii½ lkglh O;fDr ds fy, dksbZ Hkh dk;Z nq"dj ugha gksrkA ¼iii½ og iqLrdky; x;k vkSj ogk¡ mlus egkHkkjr i<+hA 8- ¼feJokD; es½a ¼ljyokD; es½a funs'Z kkuqlkj okP; cnfy, % 3 ¼i½ ge bl vikj d"V dks lgu ugha dj ldrsA ¼deZokP; es½a ¼ii½ bl Nk=kk }kjk HkkoHkhuh J)katfy nh tk jgh gSA ¼drZo` kP; es½a ¼iii½ vkb,] pysAa 9- ¼la;qDrokD; es½a ¼HkkookP; es½a fuEufyf[kr dkO; iafDr;ksa esa iz;qDr vyadkjksa dks igpku dj muds uke fyf[k,% ¼i½ ckydq cksfy c/kkSa ufga rksgh ¼ii½ u;u rsjs ehu&ls gSAa 3 ¼iii½ ikV&ikV 'kksHkk&Jh iV ugha jgh gSA [k.M ^?k* 10- fuEufyf[kr dkO;ka'kksa dks i<+dj iwNs x, iz'uksa ds mÙkj nhft, % gekjSa gfj gkfjy dh ydjhA eu Øe opu uan&uanu mj] ;g n`<+ dfj idjhA tkxr lksor LoIu fnol&fufl] dkUg&dkUg tdjhA lqur tksx ykxr gS ,slh] T;kSa d#bZ ddjhA lq rkS O;kf/k gedkS yS vk,] ns[kh lquh u djhA ;g rkS ^lwj* frufga yS lkSia kS] ftuds eu pdjhAA 79 2x3 = 6 ¼i½ xksfi;ksa us Jhd`".k dks gkfjy dh ydM+h D;ksa dgk gS\ mUgksua s bl ydM+h dks fdl rjg idM+k gqvk gS\ ¼ii½ xksfidkvksa dks ;ksx dk mins'k dSlk yxrk gS vkSj D;ks\a ¼iii½ xksfi;k¡ fdls O;kf/k ekurh gS\a mls fdls lkSia us dk ijke'kZ nsrh gS\a vFkok e/kqi xquxqukdj dg tkrk dkSu dgkuh ;g viuh] eqj>kdj fxj jgha ifÙk;k¡ ns[kks fdruh vkt ?kuhA bl xaHkhj vuUr&uhfyek esa vla[; thou&bfrgkl ;g yks] dgrs gh jgrs gSa viuk O;aX;&efyu migkl rc Hkh dgrs gks & dg Mkyw¡ nqcy Z rk viuh chrhA ¼i½ dfo us e/kqi ds :i esa fdldh dYiuk dh gS\ og xquxqukdj D;k dg jgk gS\ ¼ii½ eqj>kdj fxjrh gqbZ ifÙk;k¡ fdl rF; dh vksj ladrs dj jgh gS\a ¼iii½ ^xaHkhj vuar uhfyek* ls dfo dk D;k vfHkizk; gS\ mlesa thou ds vla[; bfrgkl fy[ks tkus dk D;k rkRi;Z gS\ 11- fuEufyf[kr iz'uksa esa ls fdUgha rhu ds mÙkj nhft, % 3+3+3 = 9 ¼d½ ij'kqjke ds Øks/k djus ij y{e.k us /kuq"k ds VwV tkus ds fy, D;k&D;k rdZ fn,\ jke&y{e.k&ij'kqjke laokn ds vk/kkj ij mÙkj nhft,A ¼[k½ ^mRlkg* dfork esa ckny fdu&fdu vFkks± dh vksj ladrs djrk gS\ ¼x½ ^dU;knku* dfork esa ek¡ us csVh dks D;k&D;k lh[ksa nha\ vki fdls lcls egRoiw.kZ lh[k ekurs gSa vkSj D;ks\a ¼?k½ ^laxrdkj* dh D;k Hkwfedk gksrh gS\ dfo lekt ds fdl izdkj ds O;fDr;ksa dh vksj ladrs dj jgk gS\ 12- fuEufyf[kr dkO;ka'k dks i<+ dj iwNs x, iz'uksa ds mÙkj nhft, % fcgfl y[kuq cksys e`nq ckuhA vgks equhlq egkHkV ekuhAA iqfu iqfu eksfg ns[kko dqBk:A pgr mM+kou Qwf¡ d igk:AA ¼i½ izLrqr dkO;ka'k dh Hkk"kk dkSu&lh gS\ ¼ii½ ;s iafDr;k¡ fdl Nan esa fy[kh xbZ gS\a ¼iii½ ij'kqjke ds fy, iz;Dr fo'ks"k.kksa esa D;k O;aX; fNik gS\ 80 1x 5 = 5 ¼iv½ dkO;ka'k esa iz;qDr eqgkojs ls vFkZ esa D;k fo'ks"krk vk xbZ gS\ ¼v½ dkO;ka'k esa iz;Dq r nks rRle 'kCn Nk¡Vdj fyf[k,A vFkok rqEgkjh ;g narfq jr eqldku e`rd esa Hkh Mky nsxh tku /kwfy&/kwlj rqEgkjs ;s xkr & NksM+dj rkykc esjh >ksia M+h esa f[ky jgs tytkr ijl ikdj rqEgkjk gh izk.k] fi?kydj ty cu x;k gksxk dfBu ik"kk.kA ¼i½ eqldku ds fy, ^narqfjr* fo'ks"k.k dk iz;ksx D;ksa fd;k x;k gS\ ¼ii½ ^/kwfy&/kwlj* esa dkSu&lk vyadkj gS\ ¼iii½ lai.w kZ dkO;ka'k esa fdl Hkko dh vfHkO;fDr gks jgh gS\ ¼iv½ dkO;ka'k dh Hkk"kk dh dksbZ ,d fo'ks"krk crkb,A ¼v½ Hkko lkSUn;Z Li"V dhft, & fi?kydj ty cu x;k gksxk dfBu ik"kk.kA 13- fuEufyf[kr x|ka'k dks i<+dj iwNs x, iz'uksa ds mÙkj nhft,% fdUrq] ckyxksfcu Hkxr xk, tk jgs gS!a gk¡] xkrs&xkrs dHkh&dHkh irksgw ds ut+nhd Hkh tkrs vkSj mls jksus ds cnys mRlo eukus dks dgrsA vkRek ijekRek ds ikl pyh xbZ] fojfguh vius izes h ls tk feyh] Hkyk blls c<+dj vkuan dh dkSu ckr\ eSa dHkh lksprk] ;g ikxy rks ugha gks x,A fdUrq ugha] og tks dqN dg jgs Fks] mlesa mudk fo'okl cksy jgk Fkk & og pje fo'okl tks ges'kk gh e`R;q ij fot;h gksrk vk;k gSA ¼d½ iq=k ds 'ko ds fudV cSBdj ckyxksfcu Hkxr yxkrkj D;ksa xk, tk jgs Fks vkSj jksrh gqbZ irksgw dks mRlo eukus ds fy, D;ksa dg jgs Fks\ ¼[k½ iq=k dh e`R;q Hkh Hkxr ds fopkj ls vkuUn dh ckr D;ksa Fkh\ ¼x½ mudk dkSu&lk fo'okl lkalkfjd izk.kh dks e`R;q ds izfr fuMj gksus dh izjs .kk nsrk gS\ vFkok Q+knj cqYds ladYi ls laU;klh FksA dHkh&dHkh yxrk gS og eu ls laU;klh ugha FksA fj'rk cukrs Fks rks rksM+rs ugha FksA nfl;ksa lky ckn feyus ds ckn Hkh mldh xa/k eglwl gksrh 81 2+2+2 = 6 FkhA og tc Hkh fnYyh vkrs t+:j feyrs & [kkstdj] le; fudkydj] xehZ] lnhZ] cjlkr >sydj feyrs] pkgs nks feuV ds fy, gh lghA ;g dkSu laU;klh djrk gS\ ¼d½ Q+knj cqYds dks ladYi ls laU;klh D;ksa dgk x;k gS\ os eu ls laU;klh D;ksa ugha yxrs Fks\ ¼[k½ Q+knj fj'rs cukdj mudk fuokZg dSls djrs Fks\ ¼x½ Q+knj cqYds dk dkSu&lk O;ogkj laU;kfl;ksa ds LoHkko ds vuqdy w ugha yxrk\ 14- fuEufyf[kr iz'uksa esa ls fdUgha rhu iz'uksa ds mÙkj fyf[k, % 3+3+3 = 9 ¼d½ ^,d dgkuh ;g Hkh* ikB ds vk/kkj ij Lok/khurk vkanksyu esa ^eUuw HkaMkjh* dh Hkwfedk dks js[kkafdr dhft,A ¼[k½ ^fL=k;ksa dks i<+kus ls vuFkZ gksrk gS* & bl dqrdZ dk [kaMu egkohj izlkn f}osnh us fdl izdkj fd;k gS\ ¼x½ ^ukScr[kkus esa bcknr* ikB ds vk/kkj ij crkb, fd dk'kh esa gks jgs dkSu&ls ifjorZu fcfLeYyk [kk¡ dks ijs'kku djrs Fks\ ¼?k½ fopkj] ?kVuk vkSj ik=kksa ds fcuk Hkh D;k dgkuh fy[kh tk ldrh gS\ ;'kiky ds bl fopkj ls vki dgk¡ rd lger gS\a 15- ¼d½ ^laLd`fr* ikB ds ys[kd ds vuqlkj ^lH;rk* vkSj ^laLd`fr* dh lgh le> vc rd D;ksa ugha cu ikbZ gS\ 3 ¼[k½ lsukuh ;k QkSth us gksrs gq, Hkh p'es okys dks yksx dSIVu D;ksa dgrs Fks\ 2 16- fuEufyf[kr iz'uksa esa ls fdUgha rhu ds mÙkj nhft, % ¼d½ izdf` r us ty lap; dh O;oLFkk fdl izdkj dh gS\ ^lkuk lkuk gkFk tksfM+* ikB ds vk/kkj ij mÙkj nhft,A ¼[k½ ^,gh BS;k¡ >qyuh gsjkuh gks jkek* ikB ds vk/kkj ij crkb, fd Hkkjr ds LOkk/khurk vkanksyu esa nqykjh vkSj VqUuw us viuk ;ksxnku fdl izdkj fn;k\ ¼x½ fgjksf'kek dh ?kVuk foKku dk Hk;kudre nq#i;ksx gSA vkidh n`f"V esa foKku dk nq#i;ksx dgk¡&dgk¡ vkSj fdl rjg ls gks jgk gS\ ¼?k½ ^tktZ iape dh ukd* ikB dks n`f"V esa j[kdj crkb, fd ys[kd us ,slk D;ksa dgk gS fd ^ubZ fnYyh esa lc Fkk---- flQZ ukd ugha FkhA* 82 2+2+2 = 6 17- fuEufyf[kr iz'uksa esa ls fdlh ,d dk mÙkj nhft, % ¼d½ ^ekrk dk vk¡py* ikB esa cPps dk vius firk ls vf/kd yxko gS fdUrq foink ds le; og firk ds ikl u tkdj ek¡ dh 'kj.k esa gh tkrk gSA bldk dkj.k Li"V dhft,A ¼[k½ ^tktZ iape dh ukd* yxkus dks ysdj tks fpUrk vkSj cngoklh ns[kus dks feyrh gS] og ljdkjh ra=k dh fdl ekufldrk dks n'kkZrh gS\ D;k vki mls rdZlxa r Bgjk,¡x\s iz'ui=k la[;k 3@1 [kaM 1- ^d* fuEufyf[kr x|ka'k dks /;kuiwod Z i<+dj iwNs x, iz'uksa ds mÙkj nhft, % lalkj ds lHkh ns'kksa esa f'kf{kr O;fDr dh lcls igyh igpku ;g gksrh gS fd og viuh ekr`Hkk"kk esa n{krk ls dke dj ldrk gSA dsoy Hkkjr gh ,d ns'k gS ftlesa f'kf{kr O;fDr og le>k tkrk gS tks viuh ekr`Hkk"kk esa n{k gks ;k ugha] fdUrq vaxt sz +h esa ftldh n{krk vlafnX/k gksA lalkj ds vU; ns'kksa esa lqlLa d`r O;fDr og le>k tkrk gS ftlds ?kj esa viuh Hkk"kk dh iqLrdksa dk laxgz gks vkSj ftls cjkcj ;g irk jgs fd mldh Hkk"kk ds vPNs ys[kd vkSj dfo dkSu gSa rFkk le;&le; ij mudh dkSulh d`fr;k¡ izdkf'kr gks jgh gSAa Hkkjr esa fLFkfr nwljh gSA ;gk¡ izk;% ?kj esa lkt&lTtk ds vk/kqfud midj.k rks gksrs gSa fdUrq viuh Hkk"kk dh dksbZ iqLrd ;k if=kdk fn[kkbZ ugha iM+rhA ;g nqjoLFkk Hkys gh fdlh ,sfrgkfld izfØ;k dk ifj.kke gS] fdUrq og lqn'kk ugha] nqjoLFkk gh gS vkSj tc rd ;g nqjoLFkk dk;e gS] gesa vius&vki dks] lgh vFkks± esa f'kf{kr vkSj lqlLa d`r ekuus dk Bhd&Bhd U;k;laxr vf/kdkj ugha gSA bl nqjoLFkk dk ,d Hk;kud nq"ifj.kke ;g gS fd Hkkjrh; Hkk"kkvksa ds ledkyhu lkfgR; ij mu ykskxksa dh n`f"V ugha iM+rh tks fo'ofo|ky;ksa ds izk;% loksÙZ ke Nk=k Fks vkSj vc 'kklu&ra=k esa Å¡ps vksgnksa ij dke dj jgs gSAa bl n`f"V ls Hkkjrh; Hkk"kkvksa ds ys[kd dsoy ;wjksih; vkSj vesfjdh ys[kdksa ls gh ghu ugha gS]a cfYd mudh fdLer felz] cekZ] baMksufs 'k;k] phu vkSj tkiku ds ys[kdksa dh fdLer ls Hkh [k+jkc gS D;ksfa d bu lHkh ns'kksa ds ys[kdksa dh d`fr;k¡ ogk¡ ds vR;Ur lqf'kf{kr yksx Hkh i<+rs gSAa dsoy ge gh gSa ftudh iqLrdksa ij ;gk¡ ds rFkkdfFkr f'kf{kr leqnk; dh n`f"V izk;% ugha iM+rhA gekjk rFkkdfFkr mPp f'kf{kr leqnk; tks dqN i<+uk pkgrk gS] mls vaxt sz +h esa gh i<+ ysrk gS] ;gk¡ rd fd mldh dfork vkSj miU;kl i<+us dh r`".kk Hkh vaxt sz +h dh dfork vkSj miU;kl i<+dj gh lekIr gks tkrh gS vkSj mls ;g tkuus dh bPNk gh ugha gksrh fd 'kjhj ls og ftl lekt dk lnL; gS mlds euksHkko miU;kl vkSj dkO; esa fdl vnk ls O;Dr gks jgs gSAa 83 4 ¼i½ Hkkjr esa f'kf{kr O;fDr dh D;k igpku gS\ 1 ¼ii½ Hkkjr rFkk vU; ns'kksa ds lqf'kf{kr O;fDr esa ewy vUrj D;k gS\ 2 ¼iii½ ^;g nqjoLFkk ,sfrgkfld izfØ;k dk ifj.kke gS* dFku ls ys[kd dk D;k vfHkizk; gS\ 2 ¼iv½ Hkkjrh; Hkk"kkvksa ds lkfgR; ds izfr lekt ds fdl oxZ esa v#fp dh Hkkouk gS\ 1 Hkkjrh; f'kf{kr leqnk; izk;% fdl Hkk"kk dk lkfgR; i<+uk ilan djrk gS\ muds fy, ^rFkkdfFkr* fo'ks"k.k dk iz;ksx D;ksa fd;k x;k gS\ 2 ¼v½ ¼vi½ bl x|ka'k dk mi;qä 'kh"kZd nhft,A 1 ¼vii½ fuEufyf[kr 'kCnksa ds lekukFkhZ crkb,% 1 lalkj] n{krkA ¼viii½ ^mPpoxhZ;* rFkk ^f'kf{kr* 'kCnksa ds izR;; vyx dhft,A 1 ¼ix½ fuEufyf[kr 'kCnksa ds foijhrkFkhZ crkb,% 1 vk/kqfud] vPNsA 2- fuEufyf[kr dkO;ka'k dks i<+dj iwNs x, iz'uksa ds mÙkj nhft, % eu&nhid fu"dEi tyks js! lkxj dh mÙkky rjax]as vkleku dks Nw&Nw tk,¡ Mksy mBs Mxex HkweMa y vfXueq[kh Tokyk cjlk, /kwedsrq fctyh dh |qfr ls] /kjrh dk vUrj fgy tk, fQj Hkh rqe t+gjhys Qu dks dkyt;h cu mls nyks jsA d+ne&d+ne ij iRFkj] dk¡Vs iSjksa dks Nyuh dj tk,¡ JkUr&DykUr djus dks vkrqj {k.k&{k.k esa tx dh ck/kk,¡ ej.k&xhr vkdj xk tk,¡ fnol&jkr vkin&foink,¡A 84 2x4 = 8 fQj Hkh rqe fgeikr&riu esa fcuk vkg pqipki pyks jsA dkydwV ftruk gks ih yks nnZ] na'k nkgksa dks th yks thou dh ttZj pknj dks vVy usg lkgl ls lh yks vkt jkr gS rks dy fu'p; v#.k g¡lxs k] [+kqf'k;k¡ ys yks vkdqy ik"kk.kh vUrj ls fu>Zj&lk vfojke <yks js! tu&fgrk; fnu&jkr xyks js! ¼i½ dfo us fdu ck/kkvksa dks t+gjhys Qu ds :i esa dfYir fd;k gS\ og fdudks dkyt;h cudj dqpyus ds fy, dg jgk gS\ ¼ii½ ^fgeikr&riu* ls dfo dk D;k vfHkizk; gS\ og thou dh fdu #dkoVksa dh ijokg fd, fcuk vkxs pyus ds fy, dg jgk gS\ ¼iii½ thou esa vVy usg vkSj lkgl dh D;k vko';drk gS\ ¼iv½ vk'k; Li"V dhft, % fu>Zj&lk vfojke <yks js! tu&fgrk; fnu&jkr xyks js! vFkok ekVh] rq>s iz.kke! esjs iq.;ns'k dh ekVh] rw fdruh vfHkjke! rq>s yxk ekFks ls lkjs d"V gks x, nwj] {k.k&Hkj esa gh Hkwy x;k eSa 'k=kq&;a=k.kk Øwj] lq[k&LQwfrZ dk bl dk;k esa gqvk iqu% lapkj& yxrk tSls vkt ;qxksa ds ckn feyk foJke! ekVh] rq>s iz.kke! rq>ls fcNqM+ feyk izk.kksa dks dHkh us iy&Hkj pSu] rsjs n'kZu gsrq jkr&fnu rjl jgs Fks uSu] 85 /kU; gqvk rsjs pj.kksa esa vkdj ;g vfLrRo & gqbZ lk/kuk lQy] HkDr dks izkIr gks x, jke! ekVh rq>s iz.kke! vej e`fÙkds! yxrh rw ikjl ls c<+ dj vkt] dkjk&tM+ thou lpsr fQj] rq> dks Nw dj vkt] ej.k'khy ge] fdUrq vej rw] gS veR;Z ;g /kke & ge ej&ej dj vej djsxa s rsjk mTToy uke! ¼i½ dfo fdls iz.kke dj jgk gS\ mls ^iq.; ns'k dh* D;ksa dgk gS\ ¼ii½ ekr`Hkwfe dks iz.kke djus ds ckn dSlh vuqHkwfr gksrh gS\ ¼iii½ ekVh ls fcNqM+us rFkk feyus ij dfo dks dSlk vuqHko gqvk\ ¼iv½ ^vej e`fÙkds! yxrh rw ikjl ls c<+ dj vkt*& bl iafDr esa fdl Hkko dks O;Dr fd;k x;k gS\ [k.M [k 3- fuEufyf[kr esa ls fdlh ,d fo"k; ij fuca/k fyf[k, % 10 ¼d½ dYiuk dhft, vki ijk/khu Hkkjr ds ml le; ds uo;qod gSa tc 'kkld&oxZ ds }kjk ns'k dh Lora=krk ds fy, vkanksyudkjh uo;qodksa ij rjg&rjg ds vR;kpkj <k, tk jgs FksA vius dkYifud vuqHkoksa dk mYys[k djrs gq, crkb, fd ,slh fLFkfr esa ns'k dh vkt+knh ds fy, vkidh Hkwfedk D;k gksrhA ¼[k½ vkius cgqr&lh iqLrdsa i<+h gSAa muesa fdlus lokZf/kd izHkkfor fd;k\ og iqLrd x| esa Fkh ;k i| es\a mldh fo"k;&oLrq lekt] jktuhfr ;k /keZ esa ls fdlls lEcfU/kr Fkh\ ml iqLrd dh dkSu&lh ckr vkidks #fpdj yxh\ vius 'kCnksa esa izLrqr dhft,A ¼x½ vkids uxj@dkWyksuh ds fudV gqbZ ,d cl&nq?kZVuk esa cgqr ls ;k=kh grkgr ,oa ?kk;y gks x, gSAa uxjokfl;ksa us fdu&fdu :iksa esa jkgr&dk;Z esa lg;ksx fn;k\ mlesa vkidh D;k Hkwfedk jgh\ 4- vki fo|ky; dh ^lkfgR;&ifj"kn~* ds lfpo dh gSfl;r ls vius fo|ky; esa ,d vUrfoZ|ky; ;qok dfo&lEesyu djkuk pkgrs gSAa bl vk;kstu ds fy, vkidks fo|ky; dh vksj ls D;k&D;k lqfo/kk,¡ pkfg,] mudk mYys[k djrs gq, vius iz/kkukpk;Z dks ,d i=k fyf[k,A 86 5 vFkok varfoZ|ky; okn&fookn&izfr;ksfxrk esa vkius izFke iqjLdkj izkIr fd;k gSA viuh bl mYys[kuh; miyfC/k dk leLr fooj.k vius fe=k dks fy[ks i=k esa izLrqr dhft,A [k.M x 5- ¼d½ fØ;kin Nk¡Vdj muds Hksn Hkh fyf[k, % ¼i½ ?kM+s esa ikuh Hkj x;kA ¼ii½ vki dy rd vo'; vk tkb,A ¼[k½ nks vO;; in igpkudj muds Hksn Hkh fyf[k, % 6- ¼i½ dM+h lnhZ esa Hkhrj gh jgksA ¼ii½ lanhi LoLFk gS blfy, fo|ky; x;k gSA js[kkafdr inksa dk ifjp; nhft,% 2 2 2 vkuanu cgqr HkkX;'kkyh gSA 7- fuEufyf[kr okD;ksa dks funs'Z kkuqlkj cnfy, % 3 ¼i½ ;g fo}ku~ gSA rqe furkar ew[kZ gksA ¼la;qDr okD; es½a ¼ii½ og mPp f'k{kk izkIr djus ds fy, fons'k x;kA ¼feJ okD; es½a ¼iii½ Hkxr flag] tks ,d ØkfUrdkjh ns'kHkDr Fkk] Lora=krk dh osnh ij cfy gks x;kA ¼ljy okD; es½a 8- funs'Z kkuqlkj okP; cnfy, % ¼i½ og lp cksys fcuk ugha jg ldrkA ¼HkkookP; es½a ¼ii½ bl ;q) us vusd cPpksa dks vukFk dj fn;kA ¼deZokP; es½a ¼iii½ ;g lqna j jpuk rqylh ds }kjk jph xbZ gSA ¼dr`oZ kP; es½a 9- fuEufyf[kr dkO;&iafDr;ksa esa iz;qDr vyadkjksa dk ukeksYys[k dhft, % ¼i½ dud&dud rs lkS xquh ekndrk vf/kdk;A ¼ii½ nq[k gSa thour# ds QwyA ¼iii½ lwj lej djuh djfgaA 87 3 [k.M ?k 10- fuEufyf[kr dkO;ka'k dks i<+dj iwNs x, iz'uksa ds mÙkj nhft, % Mkj nzeq iyuk fcNkSuk uo iYyo ds] lqeu f>axy w k lksgS ru Nfc Hkkjh nSA iou >qykoS] dsdh&dhj crjkoSa ^nso*] dksfdy gykoS&gqylkoS dj rkjh nSAA iwfjr ijkx lksa mrkjks djS jkbZ uksu] datdyh ukf;dk yrku flj lkjh nSA enu eghi tw dks ckyd clar rkfg] izkrfg txkor xqykc pVdkjh nSAA ¼i½ izLrqr in esa clar dks fdldk jktdqekj dgk gS vkSj D;ks\a ¼ii½ jkbZ uksu mrkjus dk D;k vk'k; gS\ jktdqekj dk jkbZ uksu dkSu] dSls mrkjrk gS\ ¼iii½ ckyd clar dks >wys esa >qykus vkSj cky&ØhM+k,¡ djkus dk dke dSls laiUu gksrk gS\ vFkok fdruk izkekf.kd Fkk mldk nq[k yM+dh dks nku esa nsrs oDr tSls ogh mldh vafre iwt ¡ h gks yM+dh vHkh l;kuh ugha Fkh vHkh bruh Hkksyh&Hkkyh ljy Fkh fd mls lq[k dk vkHkkl rks gksrk Fkk ysfdu nq[k ck¡puk ugha vkrk Fkk ikfBdk Fkh og /kq/¡ kys izdk'k dh dqN rqdksa vkSj dqN y;c) iafDr;ksa dh ¼i½ ek¡ dk dkSu&lk nq[k izkekf.kd Fkk\ dSl\s ¼ii½ csVh dks vafre iwt ¡ h D;ksa dgk x;k gS\ ¼iii½ ^ikfBdk Fkh og /kq/¡ kys izdk'k dh* dFku ls dfo D;k crkuk pkgrk gS\ 88 2x3 = 6 11- fuEufyf[kr iz'uksa esa ls fdUgha rhu ds mÙkj nhft, % 3+3+3 = 9 ¼d½ ij'kqjke ds Øks/k djus ij jke vkSj y{e.k dh tks izfrfØ;k gqbZ mlds vk/kkj ij mudh LoHkkoxr fo'ks"krkvksa dks fyf[k,A ¼[k½ ^vkRedF;* dfork ds ek/;e ls izlkn th ds O;fDrRo dh tks >yd feyrh gS] og mudh bZekunkjh vkSj lkgl dk izek.k gS] Li"V dhft,A ¼x½ ^Q+ly* dfork esa Q+ly mitkus ds fy, ftu vko';d rÙoksa dh ckr dgh xbZ gSA D;k ;s rÙo ,d&nwljs ij vk/kkfjr gksdj gh Q+ly dh mit esa lgk;d gksrs gS]a le>kdj fyf[k,A ¼?k½ ^Nk;k er Nwuk* dfork esa O;Dr nq[k ds dkj.kksa dk mYys[k dhft,A 12- fuEufyf[kr dkO;ka'k dks i<+dj iwNs x, iz'uksa ds mÙkj fyf[k, % Å/kkS] rqe gkS vfr cM+HkkxhA vijl jgr lusg rxk rS]a ukfgu eu vuqjkxhA iqjbfu ikr jgr ty Hkhrj] rk jl nsg u nkxhA T;kSa ty ek¡g rsy dh xkxfj] cwn¡ u rkdkSa ykxhA izhfr&unh eSa ikm¡ u cksj;~ kS] n`f"V u :i ijkxhA ¼i½ ;g dkO;ka'k fdl Hkk"kk esa jpk x;k gS\ ¼ii½ vuqikz l vyadkj dk ,d mnkgj.k pqudj fyf[k,A ¼iii½ ^T;kSa ty ek¡g rsy dh xkxfj -------------* dk Hkko&lkSna ;Z Li"V dhft,A ¼iv½ vafre iafDr esa dkSulk vyadkj gS\ ¼v½ xksfi;k¡ mn~/ko dks ^cM+Hkkxh* D;ksa dg jgh gS\a vFkok fody fody] mUeu Fks mUeu fo'o ds funk?k ds ldy tu] vk, vKkr fn'kk ls vuar ds ?ku! rIr /kjk] ty ls fQj 'khry dj nks & ckny] xjtks! 89 1x 5 = 5 ¼i½ ckny dfo ds fdl Hkko dk izrhd gS\ ¼ii½ cknyksa dks ^vuar ds ?ku* D;ksa dgk x;k gS\ ¼iii½ i|ka'k dh Hkk"kk dh dksbZ ,d fo'ks"krk crkb,A ¼iv½ ;g dfork fdl ;qx dh jpuk gS\ ¼v½ dkO;ka'k ds var esa ijLij foykse 'kCnksa ds iz;ksx ls dfork esa D;k fo'ks"krk vk xbZ gS\ 13- fuEufyf[kr x|ka'k dks i<+dj iwNs x, iz'uksa ds mÙkj nhft, % 2+2+2 = 6 Q+knj dks t+gjckn ls ugha ejuk pkfg, FkkA ftldh jxksa esa nwljksa ds fy, feBkl Hkjs ve`r ds vfrfjDr vkSj dqN ugha Fkk mlds fy, bl t+gj dk fo/kku D;ksa gks\ ;g loky fdl bZ'oj ls iwN\as izHkq dh vkLFkk gh ftldk vfLrRo Fkk] og nsg dh bl ;kruk dh ijh{kk mez dh vkf[+kjh nsgjh ij D;ksa ns\ ¼i½ ys[kd ,slk D;ksa dgrk gS fd Q+knj dks t+gjckn ls ugha ejuk pkfg, Fkk\ ¼ii½ ^izHkq dh vkLFkk gh ftldk vfLrRo Fkk* okD; ls Q+knj ds O;fDrRo dh fdl fo'ks"krk dk ifjp; izkIr gksrk gS\ ¼iii½ ^mez dh vkf[+kjh nsgjh* dFku ls ys[kd dk D;k vfHkizk; gS\ vFkok vius Ågkiksgksa ls cpus ds fy, ge Lo;a fdlh 'kj.k] fdlh xqQk dks [kkstrs gSa tgk¡ viuh nqf'pUrkvks]a nqcy Z rkvksa dks NksM+ ldsa vkSj ogk¡ ls fQj vius fy, ,d u;k frfyLe x<+ ldsAa fgju viuh gh egd ls ijs'kku iwjs taxy esa ml ojnku dks [kkstrk gS ftldh xed mlh esa lekbZ gSA vLlh cjl ls fcfLeYyk [kk¡ ;gh lksprs vk, gSa fd lkrksa lqjksa dks cjrus dh reht+ mUgsa lyhd+s ls vHkh rd D;ksa ugha vkbZA ¼i½ ^Ågkiksg* 'kCn dk D;k vfHkizk; gS\ bUlku Ågkiksgksa ls cpus ds fy, D;k&D;k djrk gS\ ¼ii½ fgju fdl ojnku dh ryk'k esa taxy esa ekjk&ekjk fQjrk gS\ vUr esa D;k og mldks izkIr dj ikrk gS\ ¼iii½ bl x|ka'k ds vafre okD; ds vk/kkj ij fcfLeYyk [kk¡ ds O;fDrRo dh fo'ks"krk Li"V dhft,A 14- fuEufyf[kr iz'uksa esa ls fdUgha rhu ds mÙkj nhft, % ¼d½ L=kh&f'k{kk ds fojks/kh rdks± dk [kaMu djrs gq, f}osnh th us mlds leFkZu esa D;k&D;k ckrsa dgha\ fdUgha rhu dk mYys[k dhft,A 90 3+3+3 = 9 ¼[k½ ^laLd`fr* ikB ds ys[kd us fdu mnkgj.kksa ds vk/kkj ij ^laLd`fr* vkSj ^lH;rk* ds Lo:i dks Li"V fd;k gS\ fdUgha rhu dk mYys[k dhft,A ¼x½ ^,d dgkuh ;g Hkh* ikB dh ysf[kdk ds O;fDrRo dks cukus esa fdu&fdu O;fDr;ksa dk ;ksxnku fdl :i esa jgk\ ¼?k½ ^y[kuoh vankt+* ikB esa [khjk [kkus dh rS;kjh djus dk ,d fp=k izLrqr fd;k x;k gSA fdlh fiz; [kk| inkFkZ dk jlkLoknu djus ds fy, vki tks rS;kjh djrs gS]a mldk fp=k vius 'kCnksa esa izLrqr dhft,A 15- ¼d½ ^ckyxksfcu Hkxr* ikB esa fpf=kr Hkxr x`gLFk gksdj Hkh gj n`f"V ls lk/kq FksA D;k lk/kq dh igpku ekyk] fryd rFkk xs#, oL=kksa ls gksrh gS ;k mlds vpkj&fopkj ls\ bl fo"k; esa vius fopkj izLrqr dhft,A 2 ¼[k½ ^usrkth dk p'ek* ikB ds vk/kkj ij crkb, fd fdlh uxj ds pkSjkgs ij izfl) O;fDr dh ewfrZ yxkus ds D;k mís'; gksrs gSAa 3 16- fuEufyf[kr esa ls fdlh ,d iz'u dk mÙkj nhft,% 4 ¼d½ ^lkuk lkuk gkFk tksfa M+----* ikB ds vk/kkj ij crkb, fd ftrsu ukxsZ us ysf[kdk dks flfDde dh izdf` r] ogk¡ dh HkkSxksfyd fLFkfr ,oa tuthou ds ckjs esa D;k egÙoiw.Z tkudkfj;k¡ nhaA ¼[k½ ljdkjh ra=k esa tkWtZ iape dh ukd dks ysdj tks fpark ;k cngoklh fn[kkbZ nsrh gS og mudh fdl ekufldrk dks n'kkZrh gS\ foLrkj ls le>kb,A 17- fuEufyf[kr iz'uksa esa ls fdUgha rhu ds mÙkj nhft, % ¼d½ ^,gh BS;k¡ >qyuh gsjkuh gks jkek* ikB ds vk/kkj ij crkb, fd dBksj ân;k le>h tkus okyh nqykjh VqUuw dh e`R;q ij fopfyr D;ksa gks mBhA ¼[k½ ^eSa D;ksa fy[krk gw*¡ ikB dks vk/kkj cukdj fyf[k, & ys[kd us vius&vki dks fgjksf'kek ds foLQksV dk HkksDrk dc vkSj fdl rjg eglwl fd;kA ¼x½ ^ekrk dk v¡py* ikB esa fpf=kr xzkE; laLd`fr ls vkt dh xzkeh.k laLd`fr dh D;k fHkUurk gS\ ¼?k½ ^lkuk lkuk gkFk tksfM+---* ikB dks n`f"V esa j[kdj crkb, fd izdf` r us ty lap; dh O;oLFkk fdl izdkj dh gSA 91 2+2+2 = 6 vad &&& ;kstuk &&& fganh ¼ikB~;Øe ^v*½ lkekU; funs'Z k % ewY;kadu djrs le; d`i;k fuEufyf[kr funs'Z kksa ds izfr lko/kkuh cjfr,A 1- vad&;kstuk dk mís'; ewY;kadu dks vf/kdkf/kd oLrqfu"B cukuk gSA vad&;kstuk esa fn, x, mÙkj&fcanq vafre ugha gSAa ;s lq>kokRed ,oa lkadfs rd gSAa ;fn ijh{kkFkhZ us buls fHkUu] fdarq mi;qDr mÙkj fn, gSa rks mls mi;qDr vad fn, tk,¡A 2- ewY;kadu djus okys ijh{kdksa ds lkFk tc rd izFke fnu oS;fDrd vFkok lkewfgd :i ls vad&;kstuk ij Hkyh&Hkk¡fr vkn~;ksikar fopkj&fofue; ugha gks tkrk rc rd ewY;kadu vkjaHk u djk;k tk,A 3- ewY;kadu&dk;Z viuh futh O;k[;k ds vuqlkj ugha cfYd vad&;kstuk esa fufnZ"V funs'Z kkuqlkj gh fd;k tk,A 4- iz'u ds miHkkxksa ds mÙkjksa ij nkb± vksj vad fn, tk,¡] ckn esa miHkkxksa ds bu vadksa dk ;ksx ckb± vksj ds gkf'k;s esa fy[kdj mls xksykd`r dj fn;k tk,A 5- ;fn iz'u dk dksbZ miHkkx ugha gS rks ml ij ckb± vksj gh vad fn, tk,¡A 6- ;fn ijh{kkFkhZ us fdlh vfrfjDr iz'u dk mÙkj Hkh fy[k fn;k gS rks ftl iz'u dks igys gy fd;k x;k gS ml ij vad nsa vkSj ckn esa fd, gq, dks dkV nsAa 7- laf{kIr fdarq mi;qDr foospu ds lkFk izLrqr fd;k x;k fcanoq r mÙkj foLr`r foospu dh vis{kk vPNk ekuk tk,xkA ,sls mÙkjksa dks mfpr egÙo nsus dh vis{kk gSA 8- ckj&ckj dh ,d gh izdkj dh v'kq) orZuh ij vad u dkVsAa 9- 'kCn&lhek ls vf/kd 'kCn gksus ij Hkh vad u dkVs tk,¡A 10- vifBr xn~;ka'k vkSj dkO;ka'k ds iz'uksa esa ijh{kkfFkZ;ksa dh le> esa vfHkO;fDrxr ;ksX;rk dks vf/kd egÙo u fn;k tk, ftlls ijh{kkfFkZ;ksa dks vdkj.k gkfu gksA 11- ewY;kadu esa lai.w kZ vad iSekus & 0 ls 100 dk iz;ksx vHkh"V gS vFkkZr~ ijh{kkFkhZ us ;fn lHkh visf{kr mÙkj&fcanv q ksa dk mYys[k fd;k gS rks mls iwjs 100 vad fn, tkus pkfg,A 12- rkjkafdr iz'uksa ds mÙkj esa ijh{kkFkhZ ds fparu ¼lksp½ dks egÙo nsrs gq, vad nsA 92 iz'u&i=k&la[;k 3@1@1 fganh ^v* [kaM ^d* 1- (i) (ii) 1+1 = 2 Hkk"kk laxeksa esa fofo/k tuinksa esa clus okyh turk ds ân;] Hkkoksa o fopkjksa dk esy gksrk gSA 2 (iii) Hkk"kk laxe esa tks Hkh Hkkjroklh J¼k ls Luku djrk gSA 1 (iv) vyx&vyx izn's kksa esa vkilh Kku Hkk"kkvksa ds rhoz tkxj.k@fodkl }kjk c<+ ldrk gSA 1 os viuh gh Hkk"kk rd lhfer u jg dj vU; Hkk"kkvksa esa Hkh igq¡pAs lkFk gh vU; Hkk"kkvksa ds lkfgR; dh Hkh tkudkjh j[ksAa 1 vU; Hkk"kkvksa ds ys[kdks]a mudh jpukvksa vkSj muesa izLrqr fopkj/kkjk ds fo"k; esa ftKklk mRiUu gqbAZ 1 (vii) Hkk"kk&laxe] Hkk"kk laxe dk izHkko ;k dksbZ vU; mi;qDr 'kh"kZdA 1 (viii) lkSjHk&lqx/a k] [kq'kcw & (dksbZ ,d) vkdka{kk & bPNk] vfHkyk"kk] pkg & (dksbZ ,d) ½+½=1 mYys[kuh; & bZ; ikjLifjd & bd ½+½=1 (v) (vi) (ix) (x) 2- os LFkku] lHkk,¡ rFkk eap ftu ij ,d ls vf/kd Hkk"kk,¡ ,d= gksrh gS] D;ksfa d ufn;ksa dh Hkk¡fr Hkk"kkvksa esa Hkh turk ds vk¡lw o meax]s Hkko vkSj fopkj] vk'kk,¡ vkSj 'kadk,¡ lekfgr gksrh gSAa (i) (ii) fHkUurk & lekurk] vfHkUurk & (dksbZ ,d) izR;{k & vizR;{k] ijks{k & (dksbZ ,d) ½+½=1 ekr``Hkwfe@Hkkjrekrk ls gSA ohjksa us mls [kwu ilhus ls lhapk gS vkSj mldh j{kk ds fy, viuk cfynku fn;k gSA 1+1 = 2 /kjrh ds nq'eu fons'kh vkØe.kdkjh] "kM;a=dkjh vkSj fo'okl?kkrh yksx gSAa os /kjrh dks tkfr&ik¡fr] oxksZa o lEiznk;ksa esa ck¡V dj mlds VqdMs+ djuk pkgrs gSAa 1+1 = 2 93 (iii) (iv) vius gh ns'k esa fNis ns'kæksgh vkSj fo'okl?kkrh yksxA muds eu esa LokFkZ flf¼ vkSj voljokfnrk :ih pksj cSBk gqvk gSA ,sls fNis fo'okl?kkrh yksxksa dks lko/kku dj psrkouh ns nks fd muds diV dk nq"ifj.kke mUgsa Hkqxruk gh iM+xs kA 1+1 = 2 2 vFkok (i) (ii) (iii) (iv) Hkkjr ds ½f"k&eqfu;ksa us Hkkjr dks vius ri] Je ,oa la;e dh ijaijk ds :i esa Lof.kZe cuk;k gSA 2 gekjs ½f"k eqfu;ksa us vkRek ds lR; dks izkIr djus ds fy, o ijksidkj ds fy, ryokj dh /kkj ij pyus ds leku dBksj ri dk thou ft;k gSA 2 Kku iznku dj nwljksa dk thou l¡okjus ds fy, os vius thou dks ekse ds fn, ds leku tykrs gSAa 2 ½f"k eqfu vius lR;] vfgalk :ih Hkw"k.kks]a d#.kke;h ok.kh] vius vk'kh"kks]a 'kqHksPNkvksa vkfn fo'ks"krkvksa ds dkj.k oanuh; gSAa 2 [kaM ^[k* 3- fuca/k Hkwfedk @ izLrkouk 1 fo"k; izfriknu 5 milagkj 1 Hkk"kk dh 'kq¼rk 1 izLrqfr @ lexz izHkko 4- 2 10 i= izkjaHk ,oa lekiu dh vkSipkfjdrk,¡ 2 (irk] fnukad] lacks/ku] lekiu) fo"k; lkexzh @ izLrqfr 2 Hkk"kk dh 'kq¼rk 1 5 94 5- d [k 6- (i) tkxrk jgk & vdeZd fØ;k ½+½+½ (ii) yk;k & ldeZd fØ;k (i) ds fcuk & lac/a kcks/kd vO;; (ii) blfy, & leqPp;cks/kd vO;; +½ = 2 ½+½+½ +½ = 2 eSua s & loZuke] iq#"kokpd&mÙke iq#"k] iqfYyax@L=hfyax] ,dopu] drkZdkjd] ^ns[kuk* fØ;k dk drkZA foeku & laKk] tkfrokpd] iqfYyax] ,dopu] deZ dkjd] ^ns[kuk* fØ;k dk deZA ½+½+½ +½ = 2 (nksuksa inksa dh O;kdjf.kd dksfV ds vfrfjDr ,d&,d vU; ifjp; fcanq dk mYys[k visf{kr) 7- 8- 9- (i) eSa ubZ dkj [kjhnwx¡ k vkSj @ fdarq @ ijarq @ ysfdu iqjkuh dkj ugha [kjhnw¡xkA 1 (ii) tks O;fDr lkglh gks] mlds fy, dksbZ Hkh dk;Z nq"dj ugha gksrkA 1 (iii) mlus iqLrdky; tkdj egkHkkjr i<+hA 1 (i) gekjs }kjk bl vikj d"V dks lgu ugha fd;k tk ldrkA 1 (ii) ;g Nk=k HkkoHkhuh J¼katfy ns jgh gSA (iii) vkb,] pyk tk,A (i) vuqikz l vyadkj 1 (ii) miek 1 (iii) :id @ vuqikz l @ iqu#fDr 1 [kaM ^?k* 10- (i) (ii) ftl izdkj gkfjy i{kh vius iatksa esa idM+h ydM+h dks gh ,dek= lgkjk le>rk gS] mlh izdkj xksfi;k¡ Hkh Jhd`".k dks ,dek= lgkjk ekurh gSAa mUgksua s bl ydM+h dks eu] deZ] opu ls ân; esa n``<+rk ls idM+k gqvk gSA 2 dM+oh ddM+h ds leku yxrk gS D;ksafd d`".k HkfDr dh feBkl ds le{k mUgsa ;ksx v#fpdj yx jgk gSA 1+1 = 2 95 (iii) ;ksx dks O;kf/k ekurh gSAa os mls papy eu okyksa dks lkSia us dk ijke'kZ nsrh gSAa 1+1 = 2 vFkok (i) (ii) (iii) dfo us e/kqi ds :i esa vius eu dh dYiuk dh gSA og xquxquk dj dfo ds thou dh dgkuh dj jgk gSA bl iafDr esa ladrs gS fd c<+rh mez ds lkFk dfo dh Le`fr;k¡ /kq¡/kyh iM+ jgh gSAa dfo dk vfHkizk; vlhe lalkj ls gSA thou ds vla[; bfrgkl fy[ks tkus ls rkRi;Z vufxur yksxksa ds thou dh dFkkvksa ls gSA lkFk gh dfo ds thou dh vufxur Le`fr;ksa dh vksj ladrs gSA ([k) (x) 2 1+1 = 2 3+3+3 = 9 11- (fdUgh rhu ds mÙkj visf{kr) (d) 1+1 = 2 geus cpiu esa vusd /kuqfg;k¡ rksM+ha rc rks ½f"koj us dHkh Øks/k ugha fd;kA blh /kuq"k ij bruh eerk fdl dkj.k gSA gekjs fy, lHkh /kuq"k ,dleku gSa blfy, fdlh Hkh /kuq"k dks rksM+us esa ge gkfu&ykHk dk fopkj ugha djrsA Jh jke us bl /kuq"k dks u, /kuq"k ds Hkze esa ns[kk Fkk fdarq ;g rks muds Nwrs gh VwV x;kA l`f"V esa jpukRedrk vkSj uothou dk lapkj djus ds vFkZ esAa rIr vkSj O;kdqy lalkj dks ty o"kkZ dj 'kkafr vkSj 'khryrk iznku djus ds vFkZ esAa vius gh :i lkSna ;Z ij er jh>ukA vius drZO;ksa dk fuokZg djuk fdarq mues my> dj Lo;a dks er tyk ysukA oL= vkSj vkHkw"k.k Hkze gSA Lo;a dks buds ca/ku ls eqDr j[kukA yM+dh ds dkseyrk] yTtk] lsok&Hkko] R;kx vkfn xq.kksa dks cuk, j[kuk fdarq mUgsa dHkh viuh det+kjs h u cuus nsukA (fdUgha rhu dk mYys[k) 96 1+1+1 = 3 1½+1½ = 3 3 (?k) 12- eq[; xk;d dh vkokT+k esa viuh vkokT+k feyk dj ml dh lgk;rk djrk gSA eq[; xk;d tc lqj ls HkVd tkrk gS rc laxrdkj gh lqj l¡Hkkyus esa mldh lgk;rk djrk gSA rkjlIrd esa eq[; xk;d dk xyk cSBus yxrk] izjs .kk vkSj mRlkg lkFk NksM+us yxrs gSa rc laxrdkj vius Loj ls mls ;g fo'okl fnykrk gS fd og vdsyk ugha gSA lekt ds izR;sd {ks= ls tqM+s eq[; O;fDr;ksa ds dk;ksaZ esa ekuoh; Hkko ls lg;ksx djus okys O;fDr;ksa dh vksj ladrs gSA 1+1 = 2 (i) vo/kh Hkk"kk 1 (ii) pkSikbZ Nan 1 (iii) ij'kqjke dk LoHkko ohjksa vkSj eqfu;ksa ds vuqdy w ugha gSA 1 (iv) vlaHko dks laHko cukus dk Hkko izdV gqvk gSA 1 (v) e`n]q egkHkV] ekuh (dksbZ nks) 1 vFkok (i) D;ksfa d eqLdjkrs le; uUgs f'k'kq ds nks NksV&s NksVs nk¡r fn[kkbZ nsrs gSAa 1 (ii) vuqikz l vyadkj 1 (iii) okRlY; Hkko 1 (iv) rRle 'kCnkoyh] Hkkokuqdy w rk vkfnA (dksbZ ,d) 1 (v) eqLdku ds izHkko dk o.kZu gS fd dBksj O;fDr dk ân; Hkh fi?ky djty dh rjg Lusg'khy vkSj dksey gks tkrk gSA 1 13- (d) D;ksfa d Hkxr ds vuqlkj e`R;q 'kksd dk ugha] vkuan dk vloj Fkk blfy, os jksrh gqbZ irksgw dks Hkh mRlo eukus ds fy, dg jgs FksA 2 ([k) D;ksafd Hkxr dh ekU;rk Fkh fd e`R;q] vkRek vkSj ijekRek ds feyu dk lqvolj gS] blfy, os iq= dh e`R;q dks Hkh O;fDrxr :i ls u ns[kdj blh lanHkZ esa ns[k jgs FksA 2 (x) Hkxr dk fo'okl gS vkRek ejrh ugha gS vfirq fojfg.kh vkRek vius izes h ijekRek ls tk feyrh gSA 2 97 vFkok (d) ([k) D;ksfa d Q+knj dk ladYi laU;kfl;ksa dh Hkk¡fr n`<+ vkSj vVy FkkA mUgksaus laU;kfl;ksa dh Hkk¡fr lkalkfjdrk dks R;kxk ugha vfirq yksxksa ls tqM+s jgs] lac/a kksa dk fuekZ.k fd;k vkSj mudk fuoZgu fd;kA Qknj o"kksaZ dk varjky vkus ij Hkh lac/a kksa esa uohu rkt+xh cuk, j[krs FksA os tc Hkh fnYyh vkrs rks foijhr ifjfLFkfr;ksa esa Hkh le; fudky dj] nks feuV ds fy, gh lgh fdarq ys[kd ls vo'; feyrs FksA (x) yksxksa ls lac/a k cukuk vkSj lnSo mudk fuoZgu djukA ([k) (x) 1+1 = 2 2 3+3+3 = 9 14- (dksbZ rhu mÙkj visf{kr) (d) 1+1 = 2 eUuw th us viuh usr`Ro {kerk ls Ldwy o dkWyst ds ;qok oxZ dks laxfBr dj Lok/khurk vkanksyu ls tksM+kA 'kgj Hkj esa Lok/khurk ds fy, gksus okyh izHkkr Qsfj;ksa] tqywlks]a gM+rkyksa esa lfØ; :i ls Hkkx fy;kA vius vkstLoh Hkk"k.kksa ls yksxksa esa Lok/khurk ds izfr psruk tkxzr dj mUgsa Hkh vkanksyu ls tqM+us dh isjz .kk nhA vuFkZ L=h&iq#"k nksuksa ls gksrs gSaA fL=;ksa dk fd;k x;k vuFkZ ;fn mudh f'k{kk gh dk ifj.kke ekuk tk, rks iq#"kksa n~okjk fd;k x;k vuFkZ Hkh mudh f'k{kk gh dk nq"ifj.kke ekuk tk,A 'kadrq yk n~okjk nq";ar dks dgk x;k dVq okD; loZFkk LokHkkfod Fkk] mlesa dqN Hkh vuqfpr ughaA f'k{kk vuFkZ dk dkjd ughA vuFkZ L=h&iq#"k] i<+&s fy[ks vkSj vui<+ nksuksa ls gksrs gSA vuFkZ dk dkj.k dqN vkSj gh gS tks O;fDr fo'ks"k ds pky&pyu ij fuHkZj djrk gSA dk'kh ls eykbZ cjQ+ cspus okyksa dk pys tkukA [kku&iku esa vk, ifjorZuA vc ns'kh ?kh vkSj dPkkSM+h&tysch esa igys tSlh ckr ugha jghA vc xk;dksa esa ?kaVksa laxhr ds fj;kT+k dh Hkkouk ugha gSA 98 1+1+1 = 3 1+1+1 = 3 xk;dksa ds eu esa laxrdkjksa ds izfr vknj dk Hkko ugha fn[kkbZ nsrkA dtyh] pSrh vkSj vnc dk igys tSlk tekuk ugha gSA 1+1+1 = 3 (?k) esjs fopkj esa dgkuh ds fy, fopkj] ?kVuk vkSj ik=ksa dk gksuk vfuok;Z gSA fdlh Hkh dgkuh ds fy, dFkkud vko';d gS tks fdlh u fdlh ?kVuk ij vk/kkfjr gksrk gS] ftls dgkuhdkj ik=ksa ds ek/;els gh vfHkO;Dr dj ldrk gSA bUgha ?kVukvksa ,oa ik=ksa ds ek/;e ls ys[kd nhu&nqfu;k ds ckjs esa vius fopkj vfHkO;Dr djrk gSA (iz'u ds nwljs igyw ij mi;qDr rdZ gksus ij vU; mÙkj Hkh Lohdkj fd, tk,¡) 15- (d) ([k) D;ksafd tc bu nksuksa 'Cnksa ds lkFk vusd fo'ks"k.k yx tkrs gS] tSl&s HkkSfrd lH;rk] vk/;kfRed lH;rk vkfn rks bu 'kCnksa ds vFkZ dks ysdj Hkze gks tkrk gSA ;g le> ugha vkrk fd ;s nksuksa ,d gh oLrq gSa vFkok vyx&vyxA ;fn vyx&vyx gSa rks buesa D;k varj gSA dSIVu dh ns'kHkfDRk ds dkj.kA D;ksfa d p'esokys dks ns'kHkDr usrk th dh fcuk p'es dh ewfrZ dks ns[k dj nq[k gksrk Fkk] blfy, og miyC/k p'eksa esa ls ,d p'ek ewfrZ ij iguk nsrk FkkA pw¡fd ns'kHkDr usrkth Lo;a ,d QkSth Fks blfy, muds izfr p'es okys dh HkfDr ns[kdj mls Hkh dSIVu dgk tkus yxkA yksxksa esa ns'kHkfDr dh Hkkouk txkus dk usr`Ro djrk gSA 2+2+2 = 6 16- (fdUgha rhu iz'uksa ds mÙkj visf{kr) (d) izd`fr us ty lap; dh O;oLFkk fgef'k[kjksa ds ek/;e ls dh gSA lfnZ;ksa esa ;s fgef'k[kj cQÛZ ds :i esa ty laxzg dj ysrs gSa vkSj xfeZ;ksa esa ;gh cQÛZ fi?kydj ty/kkjk cu tkrh gSA 1+1+1 = 3 1+1 = 2 (dksbZ nks fcan)q ([k) 3 VqUuw us eyey NksM+ dj [kknh/kkj.k dj yh fons'kh oL=ksa dk laxgz djus okys tqyl w esa Hkkx fy;k vkSj iqfyl dk fojks/k djrs gq,'kghn gks x;kA 99 2 nqykjh us ubZ&dksjh] fons'kh /kksfr;ksa dk caMy fons'kh oL=ksa ds <sj esa Qsd a fn;kA VqUuw dh e`R;q ds i'pkr vaxt sz ksa dh lHkk esa VqUuw n~okjk nh xbZ [kn~nj dh /kksrh igu dj xbZ vkSj xkus ds fy, foo'k fd, tkus ij mlus ml [kq'kh dh lHkk esa nq[k Hkjk xhr xkdj viuk fojks/k izdV fd;kA (fdUgha nks fcanv q ksa dk mYys[k visf{kr) (x) fpfdRlk ds {ks= esa vax O;kikj] Hkw.z k&gR;k vkfn ds :i esAa lqj{kk ds {ks= esa ,d ns'k n~okjk nwljs dh tklwlh vR;k/kqfud gfFk;kjksa n~okjk vkrad dk izlkjA lapkj ds ek/;eksa dk vijk/k ds fy, iz;ksxA izd`fr dk va/kk/kq/a k nksgu dj vlary q u iSnk djukA 1+1 = 2 1+1 = 2 (fdUgha nks fcanv q ksa dk mYys[k visf{kr gSA vU; mi;qDr@lacfa /kr mÙkj Hkh ekU; gSAa ) (?k) ubZ fnYyh esa fczfV'k jkuh ds Lokxr dh lHkh rS;kfj;k¡ dj yh xbZ Fkha fdarq tktZ iape dh ewfrZ dh ukd ugha yx ikbZ FkhA Hkko ;g gS fd lHkh rS;kfj;k¡ iw.kZ Fkh fdarq gekjs gqDejkuksa esa Lora=rk vkSj vkRelEeku dh Hkkouk ugha FkhA 2 17- (fdlh ,d dk mÙkj visf{kr) (d) ek¡ vkSj cPps esa ,d izkd`frd@LokHkkfod Lusg Hkko gksrk gSA foink ds le; cPps dks ek¡ dh xksn esa gh lokZf/kd lqj{kk dh vuqHkwfr gksrh gSA ek¡ dh xksn esa fNi dj og Lo;a dks lHkh d"Vksa @ foifÙk;ksa ls nwj vuqHko djrk gSA ek¡ dh eerk iz'ughu gksrh gSA 1+1+1+1 = 4 ([k) xqyke vkSj vkSifuosf'kd ekufldrk dks n'kkZrh gSA lkFk gh ljdkjh foHkkxksa dh v{kerk vkSj ,d nwljs ij dk;Z dks Vkyus dh izo`fÙk izdV gksrh gSA (i{k ;k foi{k esa mi;qDr rdZ Lohdkj fd, tk,¡) 100 2+2 = 4 iz'u&i=k&la[;k 3@1 fganh ^v* [kaM ^d* 1- (i) (ii) (iii) Hkkjr gh ,d ns'k gS ftlesa f'kf{kr O;fDr og le>k tkrk gS tks viuh ekr`Hkk"kk esa dq'ky gks ;k ugha] fdarq vaxt sz h esa vo'; fuiq.k gksA 1 fons'kksa esa lqf'kf{kr O;fDr mls le>k tkrk gS ftlds ?kj esa viuh Hkk"kk dh iqLrdksa dk laxzg gks vkSj ftls vPNs ys[kd vkSj dfo dh tkudkjh gksA Hkkjr esa izR;sd ?kj esa lkt&lTtk ds vk/kqfud midj.k rks vo'; gksrs gSa ij viuh Hkk"kk dh dksbZ iqLrd ;k if=dk fn[kkbZ ugha nsrhA 1+1 = 2 vaxt sz h 'kklu ,oa if'peh laLd`fr ds izfr >qdko ds dkj.k ,slh voLFkk gqbZ gSA Hkkjr ds yksxksa esa viuh Hkk"kk dh iqLrd ;k if=dk ds laxzg ds izfr :fp ugha gSA 1+1 = 2 (iv) f'kf{kr leqnk; esAa (v) vaxt zs h Hkk"kk dk lkfgR;A os fn[kkos ds fy, mPp f'k{kk rks izkIr dj ysrs gS]a ijarq Hkkjrh; laLd`f` r ds izfr mudk dksbZ yxko ugha gksrkA (vi) (vii) 1 f'kf{kr lekt esa ekr`Hkk"kk@vaxt sz h Hkk"kk dk eksg (vU; mfpr 'kh"kZd ds fy, Hkh vad fn, tk,¡A) lalkj & fo'o] txr] tx] nqfu;k vkfnA 1+1 = 2 1 ½+½ = 1 n{krk & dq'kyrk] fuiq.krk] iVqrk] ;ksX;rk vkfnA (ladrs & nksuksa 'kCnksa dk ,d&,d i;kZ; i;kZIr gSA) 2- (viii) bZ;] br ½+½ = 1 (ix) iqjkru @ izkphu cqjs ½+½ = 1 (i) dfo us leqæ dh vkleku dks Nwus okyh Å¡ph&Å¡ph ygjks]a Hkwdia ] vkx dh yiVks]a /kwedsrq vkSj fctyh dh ped vkfn ck/kkvksa dks t+gjhys Qu ds :i esa dfYir fd;k gSA 101 (ii) (iii) (iv) dfo Hkkjrh; uo;qodksa dks dkyt;h cudj bu ck/kkvksa dks dqpyus ds fy, dg jgk gSA thou esa vkus okyh #dkoVks]a ck/kkvksa vkSj d"Vksa ls gSA thou ds ekxZ esa vkus okyh fofo/k ck/kkvksa dh ijokg fd, fcukA 1+1 = 2 1+1 = 2 dfBu ifjfLFkfr;ksa dks lgrs gq, vkus okys lq[ke; dy dh izrh{kk ds fy, usg vkSj lkgl dh vko';drk gSA 2 tudY;k.k ds fy, >jus dh rjg fnu&jkr la?k"kZ djrs gq, thou iFk ij fujarj vkxs c<+rs jgksA 2 vFkok (i) (ii) (iii) (iii) ekr`Hkwfe dh ekVh dksA ekr`Hkwfe gksus ds dkj.k] xaxk&;equk tSlh ifo= unh gksus ds dkj.kA 1+1 = 2 lq[k vkSj 'kkafr dh vuqHkwfr gksrh gS] tSls HkDr dks bZ'oj dh izkfIr vkSj riL;k ds lQy gksus ij gksrh gSA 2 ekVh ls fcNqM+us ij dfo dh vkdqyrk c<+ tkrh gS] mls iy Hkj ds fy, Hkh pSu ugha feyrkA mlds n'kZu ds fy, vk¡[ksa rjl xbZ FkhaA feyus ij mls vius vfLrRo dh igpku gqb]Z mldh riL;k lQy gqbAZ mls ,slk yxk ekuks HkDr dks bZ'oj dh izkfIr gks xbZ gSA 1+1 = 2 ikjl ds Li'kZ ls yksgk lksuk cu tkrk gSA mlh izdkj ekVh ds Li'kZ ls rks tM+ O;fDr esa Hkh psruk dk lapkj gks tkrk gSA ekVh ej.k'khy ekuo dks Hkh vej dj nsrh gSA 1+1 = 2 [kaM *[k* 3- fuca/k ds fy, vad ;kstuk (i) Hkwfedk @ izLrkouk 1 (ii) fo"k; izfriknu 5 (iii) milagkj 1 (iv) Hkk"kk dh 'kq¼rk 1 (v) izLrqfr @ lexz izHkko 2 102 10 4- i= ys[ku (i) izkjaHk ,oa lekiu dh vkSipkfjdrk,¡ (irk] fnukad] lacks/ku] lekiu) 2 (ii) fo"k; lkexzh @ izLrqfr 2 (iii) Hkk"kk dh 'kq¼rk (i= dh vkSipkfjdrk,¡ nk,¡ ls ck,¡ fy[kh xbZ gksa vFkok ck,¡ ls nk,¡] nksuksa Lohd`r dh tk,¡) 1 5 [kaM *x* 5- d [k 6- (i) Hkj x;k & ldeZd @ la;Dq r fØ;k ½+½=1 (ii) vk tkb, & vdeZd @ la;Dq r fØ;k ½+½=1 (i) Hkhrj & fØ;k fo'ks"k.k vO;;A gh & fuikr (ii) blfy, & leqPp; cks/kd vO;; (dksbZ nks vO;; Nk¡Vus o Hksn fy[kus ij iwjs vad fn, tk,¡) ½=2 vkuanu & O;fDrokpd laKk] ,dopu] iqfYyax] drkZ dkjd] HkkX;'kkyh fo'ks"k.k dk fo'ks"; HkkX;'kkyh & xq.kokpd fo'ks"k.k] iqfYyax] vkuanu fo'ks"; dk fo'ks"k.k (inksa dhs O;kdjf.kd dksfV rFkk ,d&,d vU; ifjp; fcanq visf{kr) 7- ½+½+½+ (i) ;g fo}ku~ gS vkSj @ fdarq rqe furkar ew[kZ gksA (ii) pw¡fd mls mPp f'k{kk izkIr djuh Fkh blfy, og fons'k x;kA ½+½+½+ ½=2 vFkok og fons'k x;k D;ksfa d mls mPp f'k{kk izkIr djuh FkhA 8- (iii) Økafrdkjh ns'kHkDr Hkxrflag Lora=rk dh csnh ij cfy gks x;kA 1+1+1 = 3 (i) mlls lp cksys fcuk ugha jgk tk ldrkA bl ;qn/~ k ds }kjk vusd cPpksa dks vukFk dj fn;k x;kA ;g lqna j jpuk rqylh us jph gSA 1+1+1 = 3 (ii) (iii) 103 9- (i) ;ed vyadkj@ vuqikz l (ii) #id vyadkj (iii) vuqikz l vyadkj 1+1+1 = 3 [k.M ^?k* 10- (i) (ii) (iii) dkenso dk jktdqekjA D;ksfa d dkenso lkSna ;Z ds nsork ekus tkrs gSa vkSj vizfre lkSna ;Z'kkyh olar dkenso dk gh ckyd gks ldrk gSA 1+1 = 2 jkbZ uksu mrkjus dk vk'k; ut+j mrkjus ls gSA datdyh ukf;dk] flj ij yrkvksa :ih lkM+h vks<+dj ijkx :ih jkbZ uksu mrkj jgh gSA 1+½+½ = 2 clar :ih f'k'kq dks iou >wyk >qyk jgk gSA rksrk vkSj eksj vkil esa ckrsa dj jgs gSAa dks;y rkyh ctkdj fgyk&Mqykdj izlUu dj jgh gSA 1+1 = 2 vFkok (i) (ii) (iii) 11- d viuh vafre iwt ¡ h dks Hkh nku esa ns nsukA ftls fo'ks"k iwt ¡ h dh rjg lgstdj j[kk Fkk mls fonk djuk iM+kA csVh ds llqjky tkus ds ckn ek¡ fcydqy vdsyh iM+ tk,xh] og mlds thou dh lafpr iwt a h Fkh] mlds lq[k&nq[k dh lkFkh FkhA 2 vHkh mls nqfu;k dh tkudkjh ugha FkhA mls lq[k dk vglkl rks Fkk ijarq nq[k ls ifjfpr ugha FkhA og lekt ds jhfr&fjokt+ vkSj :f<+;ksa ls vufHkK FkhA 2 jke fou;'khy rFkk e`nq LoHkko ds FksA ij'kqjke dk Øks/k 'kkar djus ds fy, Lo;a dks mudk nkl crkrs gSAa os 'kkarfpÙk rFkk /kS;oZ ku FksA y{e.k rdZ'khy] Øks/kh] O;aX; djus esa izoh.k rFkk okd~iVq gSAa 1+1+1 = 3 (fdUgha rhu fcanv q ksa dk mYys[k) [k 1+1 = 2 vareq[Z kh O;fDrRo ds LokehA ;FkkFkZoknh O;fDrRoA 104 x ?k 12- lR;oknh] fouezrk vkSj ljyrk vkfn xq.kA fn[kkos ls nwjA Qly idus esa feV~Vh] [kkn] ikuh] lw;Z dk izdk'k o gok dk ;ksxnku gksrk gSA ty ds fcuk Qly lw[k tkrh gSA feV~Vh dk vyx&vyx xq.k&/keZ gksrk gSA feV~Vh ds xq.k&/keZ ds lkFk lw;Z ds izdk'k dk ;ksxnkuA gok gkSy&s gkSys cgdj Q+ly dks jle; cukrh gSA vrhr dh lq[kn Le`fr;k¡ vrhr dh e/kqj Le`fr;ksa }kjk dk;Z {kerk dks Hkh izHkkfor fd;k tkukA nq[kksa ls ijkLr gksukA lkgl dk ean gksukA vkxs c<+us dk jkLrk vo#¼ gksukA 3 3 (fdUgha rhu dk mYys[k) 3 (i) czt Hkk"kkA 1 (ii) iqjbfu ikr @ cM+Hkkxh] vuqjkxh @ ukfgu eu (iii) rsy ls Hkjh xxjh ty esa Mqcks, tkus ij ty ds Li'kZ ls jfgr jgrh gS] mlh izdkj mn~/ko Jhd`".k ds lehi jgdj muds izes ls oafpr gSAa (iv) ^izhfr & unh* &&&& :id vyadkj (v) xksfi;k¡ mn~/ko dks lkSHkkX;'kkyh dgdj okLro esa mlds nqHkkZX; ij O;aX; djrh gSAa os Jhd`".k ds ikl jgdj Hkh muds izse ls vNwrs gSaA izes ds /kkxs esa ugha c¡/ks vkSj vuklDr gh jgsA 1 1 vFkok (i) Økafr vkSj ifjorZu dk izrhdA 1 (ii) cknyksa dk vksj & Nksj irk gh ugha gSAa 1 105 (iii) 13- lgt] ljy] [kM+h cksyh] laLd`rfu"B@rRle 'kCnkoyh (dksbZ ,d fo'ks"krk) 1 (iv) Nk;koknh ;qx @ vk/kqfud ;qx (v) dfork lqna j cu xbZ gS vkSj vFkZxkaHkh;Z dks le>uk vklku gks x;k gSA 1 (i) Qknj dh jxksa esa nwljksa ds fy, ve`r ds vfrfjDr vkSj dqN ugha FkkA blfy, ve`r ds lkFk t+gj dk fo/kku mfpr ughaA 2 (ii) /kkfeZd izo`fÙk ,oa vkthou vkfLrdrkA 2 (iii) o`¼koLFkk ,oa e`R;q dh lehirkA 2 vFkok (i) (ii) (iii) 14- d vleatl ;k eu ds var}Z}A buls cpus ds fy, balku fdlh dh 'kj.k ;k xqQk dks [kkstrk gS tgk¡ og viuh nqf'parkvksa ,oa nqcy Z rkvksl a s eqDr gks ldsA 2 fgju viuh gh egd ls ijs'kku iwjs taxy esa ml ojnku dks [kkstrk gS ftldh xed mlh esa lek;h gSA var rd mls ikus esa vleFkZ jgrk gSA 2 laxhr mudh tku FkhA vLlh o"kZ rd 'kgukbZ ctkus ij Hkh mudks yxrk Fkk fd vHkh lh[kus ds fy, cgqr dqN ckdh gSA 2 dbZ iq#"k f'kf{kr gksdj Hkh fL=;ksa ds lkFk nqO;Zogkj djrs gSAa fL=;ksa dk gd mUgsa ugha nsrAs ;fn fL=;ksa dk fd;k gqvk vuFkZ mudks i<+kus dk ifj.kke gS rks iq#"kksa dk fd;k gqvk vuFkZ Hkh mudh f'k{kk dk gh ifj.kke ekuuk pkfg,A HkoHkwfr] dkfynkl vkfn ds ukVd ftl tekus ds gSa ml tekus esa f'kf{krksa dk leLr leqnk; laLd`r gh cksyrk Fkk] igys bl rF; dks izekf.kr djsa rc izkd`r cksyus okyh fL=;ksa dks vui<+ dgus dk lkgl djsAa dksbZ vU; fcanq Hkh Lohdk;Z (fdUgha rhu fcanv q ksa ds fy, vad fn, tk,¡A) 106 3 [k O;fDr dh og ;ksX;rk@izof` Ùk ftlls og fdlh oLrq dk vkfo"dkj djrk gS og ml O;fDr fo'ks"k dh laLd`fr gS vkSj ml ;ksX;rk@ laLd`fr ls vkfo"d`r oLrq lH;rk gSA laLd`fr O;fDr ls ekuo ds fy, eaxydkjh vkfo"dkj djkrh gS ,oa loZLo R;kx djkrh gSA laLd`fr dk ifj.kke lH;rk esa ns[kk tkrk gSA gekjs [kkus&ihus ds rjhds] vkokxeu ds lk/kuksa ls gekjh lH;rk dk irk pyrk gSA (fdUgha rhu fcanv q ksa dk mYys[k) x ?k 15- d [k ysf[kdk ds O;fDrRo ij muds firkth ds LoHkko ,oa vknrksa dk vizR;{k :i ls xgjk izHkko iM+kA muds firk dk izHkko dgha 'kDdhiu] dgha dqBa kvksa rks dgha vU; izfrfØ;k ds :i esa gqvkA 'khyk vxzoky ds izHkko ls os lkfgR;izes h o vkstLoh oDrk cuhaA mudh tks'khyh ckrksa us budh jxksa esa cgrs [kwu dks ykos esa cny fn;kA fo|kfFkZ;ksa }kjk vius fiz; [kk| inkFkZ dk jlkLoknu djus ds fy, rS;kjh dk o.kZuA lk/kq dh igpku mlds vkpkj&fopkj ls gksrh gSA Hkxr dk vkpj.k lk/kqvksa ds leku FkkA os dchj ds HkDr FksA vkMacj esa fo'okl ugha djrs FksA lR; ij cy nsrs FksA deZ esa vkLFkk j[krs FksA fdlh dh pht+ fcuk iwNs ugha Nwrs FksA tks dqN gS] mls ijekRek dk ekurs FksA (mi;qDr rdZ nsus ij nwljk fodYi Hkh Lohdkjs)a ml O;fDr dks ;kn j[kukA ml egkiq#"k dh Le`fr ,oa ;ksxnku dks thfor j[kukA vkus okyh ih<+h ds fy, izjs .kkA (fdUgha nks dk mYys[k) 16- d 3 1½+1½=3 3 3 2 fgeky; dh xgure ?kkfV;k¡ ,oa Qwyksa ls ynh okfn;k¡A ^^dohyksxa LVkWd** uked LFkku ij ^xkbM* fQYe dh 'kwfVax gqbZ FkhA 107 igkM+h cPpksa dk thou vR;ar dBksj gksrk gSA igkM+kas ij jkLrk cukuk cM+s lkgl dk dk;Z gSA dqfV;k ds Hkhrj iz;s j Oghy dks ?kqekus ls lkjs iki /kqy tkrs gSAa dVkvksa esa ,dne rkt+k cQZ ns[kus dks feyrh gSA 4 (fdUgha pkj fcanv q ksa ds fy, vad fn, tk,¡) [k 17- d [k x ?k xqykeh] pkiywlh vkSj izn'kZufiz;rk dh ekufldrkA vke turk dh dksbZ ijokg ughaA 'kkld oxZ dks [kq'k j[kukA vius dfeZ;ksa ij inkZ MkyukA dk;Z dks ,d&nwljs ij VkyukA 4 VqUuw ds ljy ân; izes us nqykjh ds O;fDrRo dks cny fn;kA VqUuw dsfuLokFkZ izes us nqykjh dh lksbZ gqbZ eerk dks m}sfyr dj fn;kA 2 fgjksf'kek esa ?kwers gq, tc ys[kd us lM+d ij ,d tys gq, iRFkj ij,d yach&mtyh Nk;k ns[khA jsfM;ks/kehZ inkFkZ dh fdj.kksa }kjk ml O;fDr dks Hkki cukdj mM+k, tkus dh dYiuk ls ys[kd Hkhrj rd dk¡i mBkA blls og v.kq foLQksV mldh vuqHkwfr izR;{k esa vk x;k vkSj og fgjksf'kek foLQksV dk HkksDrk cu x;kA 2 rRdkyhu xzkeh.k laLd`fr esa cPpksa ds lgt LokHkkfod [ksy csdkj iM+h phtksa ds lgkjs [ksys tkrs FksA ml ij /ku [kpZ djus dh vko';drk ugha gksrh FkhA ij vktdy xzkeh.k ckyd Hkh 'kgjh [ksyksd a h vksj vkdf"kZr gksrs pys tk jgs gSAa Vh- oh-] fÝt] dwyj vkfn xzkeh.k ?kjksa esa ns[ks tk ldrs gSAa 2 izd`fr lfnZ;ksa esa fge f'k[kjksa ij cQZ ds :i esa ty laxgz djrh gSA xfeZ;ksa esa ;gh cQZ fi?kydj ufn;ksa esa ty /kkjk ds :i esa cgrh gqbZ gekjh I;kl cq>krh gSA 108 2 fganh ¼ikB~;Øe ^c*½ fu/kkZfjr le; % 3 ?kaVs funs'Z k % vf/kdre vad % 100 (i) bl iz'ui=k ds pkj [k.M gSa & ^d*] ^[k*] ^x* vkSj ^?k*A (ii) pkjksa [k.Mksa ds iz'uksa ds mÙkj nsuk vfuok;Z gSA (iii) ;FkklaHko iz'uksa ds miHkkxksa ds mÙkj Øe'k% fyf[k,A iz'ui=k la[;k 4@1@1 [kaM 1- ^d* fuEufyf[kr dkO;ka'k ds vk/kkj ij fn, x, iz'uksa ds mÙkj nhft,% uohu daB nks fd eSa uohu xku xk ldw]¡ Lora=k ns'k dh uohu vkjrh ltk ldw!¡ uohu n`f"V dk u;k fo/kku vkt gks jgk] uohu vkleku esa fogku vkt gks jgk] [kqyh nlksa fn'kk [kqys dikV T;ksfr&}kj ds& foeqDr jk"Vª&lw;Z Hkkleku vkt gks jgkA ;qxkar dh O;Fkk fy, vrhr vkt jks jgk] fnxar esa olar dk Hkfo"; cht cks jgk] lqnh?kZ Økafr >sy] [ksy dh Toyar vkx ls& Lons'k cy l¡tks jgk] dM+h Fkdku [kks jgkA izc) q jk"Vª dh uohu oanuk lquk ldw]¡ uohu chu nks fd eSa vxhr xku xk ldwA¡ u, lekt ds fy, uohu uhao iM+ pqdh] u, edku ds fy, uohu b±V x<+ pqdh] lHkh dqVcaq ,d] dkSu ikl] dkSu nwj gS& u, lekt dk gjsd O;fDr ,d uwj gSA 109 dqyhu tks mls ugha xqeku ;k x:j gS leFkZ 'kfDriw.kZ tks fdlku ;k etwj gSA Hkfo";&}kj eqDr ls Lora=k Hkko ls pyks] euq"; cu euq"; ls xys feys pys pyks] leku Hkko ds izdk'koku lw;Z ds rys& leku :i&xa/k Qwy&Qwy&ls f[kys pyksA iqjk.k iaFk esa [kM+s fojks/k oSj Hkko ds f=k'kwy dks nys pyks] ccwy dks eys pyksA izo's k&ioZ gS Lons'k dk uohu os'k esa euq"; cu euq"; ls xys feyks pys pyksA uohu Hkko nks fd eSa uohu xku xk ldw]¡ uohu ns'k dh uohu vpZuk lquk ldw!¡ (i) dfork dk mi;qDr 'kh"kZd nhft,A 1 (ii) izLrqr dkO;ka'k esa dfo us fdu uohurkvksa dh ppkZ dh gS\ 1 (iii) jk"Vª dks izc) q D;ksa dgk x;k gS\ 1 (iv) euq"; ds fy, dfo dh D;k lykg gS\ 2 (v) 1 ^u, lekt dk gjsd O;fDr ,d uwj gS\* dk Hkko Li"V dhft,A (vi) fdlku] etnwj vkSj dqyhu O;fDr;ksa dh fo'ks"krk fdu iafDr;ksa esa crkbZ xbZ gS\ 1 (vii) dfo dSlh uohurk dh dkeuk dj jgk gS\ vFkok ftlesa Lons'k dk eku Hkjk vkt+knh dk vfHkeku Hkjk tks fuHkZ; iFk ij c<+ vk, tks egkizy; esa eqLdk, tks vafre ne rd jgs MVs ns fn, izk.k] ij ugha gVs 110 1 tks ns'k&jk"Vª dh osnh ij nsdj eLrd gks x, vej ;s jDr&fryd&Hkkjr&yykV! mudks esjk igyk izek.k! fQj os tks vk¡/kh cu Hkh"k.k dj jgs vkt nq'eu ls j.k ck.kksa ds ifo&la/kku cus tks Tokykeq[k&fgeoku cus gSa VwV jgs fjiq ds x<+ ij ck/kkvksa ds ioZr p<+dj tks U;k;&uhfr dks vfiZr gSa Hkkjr ds fy, lefiZr gSa dhfrZr ftlls ;g /kjk /kke mu ohjksa dks esjk iz.kkeA J)kur dfo dk ueLdkj nqyHZ k gS Nan&izluw gkj bldks cl os gh ikrs gSa tks p<+s dky ij vkrs gSa gqd a f` r ls fo'o d¡ikrs gSa ioZr dk fny ngykrs gSa j.k esa f=kiqjkard cus 'koZ dj ys tks fjiq dk xoZ [koZ tks vfXu&iq=k] R;kxh] vdke mudks vfiZr esjk iz.kke! (i) dfork dk mi;qDr 'kh"kZd nhft,A 1 (ii) dfo us Hkkjr ds ekFks dk yky panu fdUgsa dgk gS\ 1 (iii) iz.kke ds ;ksX; ohjksa dh D;k fo'ks"krk,¡ crkbZ xbZ gS\a 2 111 (iv) dfo dh J)k fdu ohjksa ds izfr gS\ 1 (v) 2 dfork dk ewy Hkko vius 'kCnksa esa fyf[k,A (vi) ^vfxzi=q k] R;kxh] vdke* dFku dk vk'k; Li"V dhft,A 2- 1 fuEufyf[kr x|ka'k dks /;kuiwod Z i<+dj uhps fn, x, iz'uksa ds mÙkj nhft,% ekuo thou esa vkRelEeku dk vR;f/kd egÙo gSA vkRelEeku esa vius O;fDrRo dks vf/kdkf/kd l'kDr ,oa izfrf"Br cukus dh Hkkouk fufgr gksrh gSA blls 'kfDr] lkgl] mRlkg vkfn xq.kksa dk tUe gksrk gS tks thou dh mUufr dk ekxZ iz'kLr djrs gSAa vkRelEeku dh Hkkouk ls iw.kZ O;fDr la?k"kks± dh ijokg ugha djrk gS vkSj gj fo"ke ifjfLFkfr ls VDdj ysrk gSA ,sls O;fDr thou esa ijkt; dk eqg¡ ugha ns[krs rFkk fujarj ;'k dh izkfIr djrs gSAa vkRelEekuh O;fDr /keZ] lR;] U;k; vkSj uhfr ds iFk dk vuqxeu djrk gSA mlds thou esa gh lPps lq[k vkSj 'kkafr dk fuokl gksrk gSA ijksidkj] tulsok tSls dk;ks± esa mldh #fp gksrh gSA yksdfiz;rk vkSj lkekftd izfr"Bk mls lgt gh izkIr gksrh gSA ,sls O;fDr esa vius jk"Vª ds izfr lPph fu"Bk gksrh gS rFkk ekr`Hkwfe dh mUufr ds fy, og vius izk.kksa dks mRlxZ djus esa Hkh lq[k dh vuqHkwfr djrk gSA pwf¡ d vkRelEekuh O;fDr viuh vFkok nwljksa dh vkRek dk guu djuk ilan ugha djrk gS] blfy, og bZ";kZ&}s"k tSlh Hkkoukvksa esa eqDr gksdj ekuo ek=k dks vius ifjokj dk vax ekurk gSA mlds ân; esa LokFkZ] yksHk vkSj vgadkj dk Hkko ugha gksrkA fu'Ny ân; gksus ds dkj.k og vklqjh izof` Ùk;ksa ls loZFkk eqDr gksrk gSA mlesa bZ'oj ds izfr lPph HkfDr ,oa fo'okl gksrk gS] ftlls mldh vk/;kfRed 'kfDr dk fodkl gksrk gSA thou dks ljl vkSj e/kqj cukus ds fy, vkRelEeku jlk;u&rqY; gSA vkRelEeku izR;sd tkfr rFkk jk"Vª dh izjs .kk dk nSoh lzkrs gSA ekuo ek=k ds ekSfyd xq.kksa dh ;g foHkwfr gSA izR;sd O;fDr dk loZJ"s B drZO; gS fd vkRelEeku dh lqj{kk ds fy, lrr izLrqr jgsA bls [kksdj ge loZLo [kks nsxa As gekjh laLd`fr] gekjk /keZ] ;gk¡ rd fd gekjk vfLrRo gh blds vHkko esa yqIr gks tk,xkA ijra=krk ds ;qx esa gekjs lkoZtfud thou esa vkRelEeku dks fujarj Bsl yxrh jgh gSA pwf¡ d fons'kh izHkqlÙkk us mldk neu djus esa dksbZ dlj mBk ugha j[kh] blfy, Hkkjrh;ksa us jk"Vªfirk ds usrR` o esa vkRelEeku dh izfr"Bk ds fy, Lora=krk dk laxkz e fd;k rFkk mlesa lQyrk izkIr dhA vkt izR;sd Hkkjrh; dks mPp uSfrd ewY;ks]a jk"Vªh; ,drk rFkk vkRelEeku dh j{kk djuh gSA (i) x|ka'k dk mi;qDr 'kh"kZd nhft,A 1 112 (ii) vkRelEeku ls fdu xq.kksa dk tUe gksrk gS\ 2 (iii) vkRelEekuh O;fDr ekuo ek=k dks vius ifjokj dk vax D;ksa ekurk gS\ 1 (iv) fu'Ny ân; gksus ls LokfHkekuh O;fDr dks D;k ykHk gksrk gS\ 1 (v) dksbZ O;fDr vkRelEeku ds vHkko esa loZLo dSls [kks ldrk gS\ 2 (vi) ys[kd us Lora=krk laxkz e dk D;k dkj.k crk;k gS\ 1 (vii) ^yksdfizdrk* vkSj ^vk/;kfRed* 'kCnksa ds izR;; vyx djds fyf[k,A 1 (viii) ^,drk* vkSj ^fons'kh* ds foijhrkFkZd 'kCn fyf[k,A 1 (ix) ^iFk* vkSj ^bZ'oj* 'kCnksa ds nks&nks i;kZ;okph fyf[k,A 2 [k.M&^[k* 3- fuEufyf[kr esa ls fdlh ,d fo"k; ij fn, x, ladsr&fcanqvksa ds vk/kkj ij yxHkx 100 'kCnksa esa ,d vuqPNsn fyf[k,% 5 ¼d½ tc ge nks xksyksa ls fiNM+ jgs Fks (i) f[kykfM+;ksa dk tks'k (ii) n'kZdksa dh n'kk (iii) iz;kl vkSj ifj.kke ¼[k½ fgeky;% Hkkjr dk eqdVq (i) eqdVq D;ksa (ii) lkSna ;Z (iii) mi;ksfxrk ¼x½ dkedkth ukjh dk ,d fnu 4- (i) ruko vkSj rS;kjh (ii) dk;kZy; esa (iii) ?kj esa jk'ku&dkMZ [kks tkus ij vkiwfrZ vf/kdkjh dks nwljk dkMZ cukus dk vuqjks/k djrs gq, i=k fyf[k,A 113 5 vFkok vfu;fer Mkd forj.k esa lq/kkj djus ds fy, vius {ks=k ds Mkdiky dks i=k fyf[k,A [kaM ^x* 5- ¼d½ in vkSj inca/k esa D;k varj gS\ mnkgj.k nsdj Li"V dhft,A 1 ¼[k½ js[kkafdr inca/k dk uke crkb,% 1 tujy lkgc dk ckophZ vk jgk gSA ¼x½ uhps fn, x, okD; esa js[kkafdr inksa dk in&ifjp; fyf[k,% 2 js[kk dgrh gS fd eSa viuk dke Lo;a djrh gwA¡ 6- 2 ¼d½ funs'Z kkuqlkj okD; cukb, % (i) fo|kFkhZ us esgur djds lQyrk izkIr dhA ¼la;Dq rokD;½ (ii) mlds vkus ij eSa ?kj ls fudy x;k FkkA ¼feJokD;½ ¼[k½ jpuk ds vuqlkj okD;&Hksn crkb,% 7- (i) eSa iqLrd i<+ jgk Fkk vkSj eq>s uhan vk xbZA (ii) og lh<+h ls mrj gh jgk Fkk fd fxj iM+kA funs'Z kkuqlkj mÙkj fyf[k, % ¼d½ izfr + ,d] egk 8- 2 + bZ'kA ¼laf/k dhft,½ 1 ¼[k½ ;ksxklu] lnSoA ¼laf/kPNsn dhft,½ 1 ¼x½ ;Fkk'kfDr] uhydeyA ¼leLr inksa dk foxzg dhft,½A 1 ¼?k½ fo|ky; esa jke&';ke nksuksa i<+rs gSAa ¼js[kkafdr inksa ds lekl dk uke fyf[k,½ 1 ¼d½ fn, x, eqgkojksa vkSj yksdksfDr;ksa es ls ,d eqgkojk vkSj ,d yksdksfDr dk okD; esa bl izdkj iz;ksx dhft, fd vFkZ Li"V gks tk, % 2 (i) eqëh xje djukA (ii) flj ekjukA (iii) dkyk v{kj HkSl a cjkcjA (iv) [kksnk igkM+ fudyh pqfg;kA 114 ¼[k½ fjDr LFkkuksa dh iwfrZ mi;qDr eqgkojk vkSj yksdksfDr }kjk dhft, % 9- (i) ohj lUrkuksa us ----------------- ck¡/kdj gh ns'k dh j{kk dhA (ii) eu je tkus ij gh lcls cM+k pSu feyrk gS] blfy, dgrs gSa fd] ------------A fuEufyf[kr okD;ksa dks 'kq) djds fyf[k,% (i) esjs dks vkt ;gha jguk gSA (ii) m/kj dks er ns[kksA (iii) ge [kk fy, gSAa (iv) ,d xeZ fxykl nw/k ihdj lks tkvksA 2 4 [k.M & ^?k* 10- fuEufyf[kr dkO;ka'kksa esa ls fdlh ,d dks i<+dj iwNs x, iz'uksa ds mÙkj fyf[k, % mM+ x;k] vpkud yks] Hkw/kj QM+dk vikj ikjn ds ij! jo&'ks"k jg x, gSa fu>Zj! gS VwV iM+k Hkw ij vacjA /k¡l x, /kjk esa lHk; 'kky! mB jgk /kqvk¡] ty x;k rky! ;ksa tyn&;ku esa fopj&fopj Fkk banz [ksyrk bant z kyA ¼d½ dfo vkSj dfork dk uke fyf[k,A 1 ¼[k½ 'kky&o`{kksa ds Mjus dk dkj.k Li"V dhft,A 1 ¼x½ dfo us ^^jo&'ks"k jg x, gSa fu>Zj** D;ksa dgk gS\ Li"V dhft,A 2 ¼?k½ banz tknwxjh dk [ksy dSls [ksy jgk gS\ 2 vFkok jkg dqckZfu;ksa dh u ohjku gks rqe ltkrs gh jguk u, dkfQ+ys 115 Q+rg dk t'u bl t'u ds ckn gS ftanxh ekSr ls fey jgh gS xys ck¡/k yks vius ?kj ls dQ+u lkfFk;ks vc rqEgkja gokys oru lkfFk;ksA ¼d½ dfo vkSj dfork dk uke fyf[k,A 1 ¼[k½ ft+anxh ds ekSr ls xys feyus dk D;k rkRi;Z gS\ 1 ¼x½ ^ck¡/k yks vius lj ls dQu* dgdj dfo D;k ladrs nsuk pkgrk gS\ 2 ¼?k½ vk'k; Li"V dhft, % jkg dqckZfu;ksa dh u ohjku gksA 2 3 +3 +3 = 9 11- fdUgha rhu iz'uksa ds mÙkj nhft,A ¼d½ dchj ds fopkj ls fuand dks fudV j[kus ds D;k&D;k ykHk gS\a ¼[k½ ehjkckbZ us Jhd`".k dh pkdjh dh vfHkyk"kk D;ksa O;Dr dh gS\ ¼x½ daiuh ckx esa j[kh rksi dh D;k fo'ks"krk gS\ og dc vkSj D;ksa pedkbZ tkrh gS\ ¼?k½ ^e/kqj&e/kqj esjs nhid ty* dfork esa nhid ls D;k&D;k vkxzg fd, x, gS\a 12- ¼d½ ^euq";rk* dfork dk ewy lan's k Li"V dhft,A ¼[k½ ^vkRe=kk.k* dfork esa dfo us d#.kke; ls D;k izkFkZuk dh gS\ 13- fuEufyf[kr x|ka'kksa esa ls fdlh ,d dks /;kuiwoZd i<+dj iwNs x, iz'uksa dk mÙkj fyf[k,% exj Vkbe&Vsfcy cuk ysuk ,d ckr gS] ml ij vey djuk nwljh ckrA igys gh fnu mldh vogsyuk 'kq: gks tkrh gSA eSnku dh og lq[kn gfj;kyh] gok ds gYds&gYds >ksd a ]s QqVcky dh og mNy&dwn] dcìh ds os nk¡o&?kkr] okyhcky dh og rsth vkSj Qqjrh] eq>s vKkr vkSj vfuok;Z :i ls [khap ys tkrh vkSj ogk¡ tkrs gh eSa lc dqN Hkwy tkrkA og tkuysok Vkbe&Vsfcy] og vk¡[k QksM+ iqLrdsa fdlh dh ;kn u jgrh vkSj HkkbZ lkgc dks ulhgr vkSj Q+thgr dk volj fey tkrkA eSa muds lk;s ls Hkkxrk] mudh vk¡[kksa ls nwj jgus dh ps"Vk djrk] dejs esa bl rjg ncs ik¡o vkrk fd mUgsa [kcj u gksA mudh ut+j esjh vksj mBh vkSj esjs izk.k fudysA ges'kk flj ij ,d uaxh ryokj&lh yVdrh ekywe gksrhA fQj Hkh tSls ekSr vkSj foifÙk ds chp Hkh vkneh eksg 116 3 2 vkSj ek;k ds ca/ku esa tdM+k jgrk gS] eSa QVdkj vkSj ?kqM+fd;k¡ [kkdj Hkh [ksy&dwn dk frjLdkj u dj ldrk FkkA ¼d½ Vkbe&Vsfcy ij vey ugha gksus ds D;k dkj.k Fks\ 1 ¼[k½ ys[kd HkkbZ lkgc dh vk¡[kksa ls nwj jgus dk iz;kl D;ksa djrk Fkk\ 2 ¼x½ ekSr vkSj foifÙk ds chp ls D;k rkRi;Z gS\ ,slh fLFkfr esa Hkh ys[kd D;k djuk ilan djrk Fkk\ 2 ¼?k½ HkkbZ lkgc dks ulhgr dk volj dc fey tkrk Fkk\ 1 vFkok lfn;ksa iwo]Z tc fyfVy vaMeku vkSj dkj&fudksckj vkil esa tqM+s gq, Fks rc ogk¡ ,d lqna j&lk xk¡o FkkA ikl esa ,d lqna j vkSj 'kfDr'kkyh ;qod jgk djrk FkkA mldk uke Fkk rrk¡jkA fudksckjh mls csgn izes djrs FksA rrk¡jk ,d usd vkSj ennxkj O;fDr FkkA lnSo nwljksa dh lgk;rk ds fy, rRij jgrkA vius xk¡o okyksa dks gh ugha] vfirq lewps }hi okfl;ksa dh lsok djuk viuk ije drZO; le>rk FkkA mlds bl R;kx dh otg ls og pfpZr FkkA lHkh mldk vknj djrsA oDr eqlhcr esa mls Lej.k djrs vkSj og Hkkxk&Hkkxk ogk¡ igqp ¡ tkrkA nwljs xk¡oksa esa Hkh ioZ&R;kSgkjksa ds le; mls fo'ks"k :i ls vkeaf=kr fd;k tkrkA mldk O;fDrRo rks vkd"kZd Fkk gh] lkFk gh vkReh; LoHkko dh otg ls yksx mlds djhc jguk pkgrsA ikjaifjd iks'kkd ds lkFk og viuh dej esa lnSo ,d ydM+h dh ryokj ck¡/ks jgrkA yksxksa dk er Fkk] ckotwn ydM+h dh gksus ij] ml ryokj esa vn~Hkqr nSoh; 'kfDr FkhA rrk¡jk viuh ryokj dks dHkh vyx u gksus nsrkA mldk nwljksa ds lkeus mi;ksx Hkh u djrkA fdUrq mlds pfpZr lkgfld dkjukeksa ds dkj.k yksx&ckx ryokj esa vn~Hkqr 'kfDr dk gksuk ekurs FksA rrk¡jk dh ryokj ,d foy{k.k jgL; FkhA ¼d½ lHkh yksx rrk¡jk dk vknj D;ksa djrs Fks\ 2 ¼[k½ rrk¡jk dh iks'kkd dh D;k fo'ks"krk Fkh\ 1 ¼x½ rrk¡jk dh ryokj ,d foy{k.k jgL; FkhA bldk dkj.k Li"V dhft,A 2 ¼?k½ ikB rFkk ys[kd dk uke fyf[k,A 1 14- fuEufyf[kr esa ls fdUgha rhu iz'uksa ds mÙkj fyf[k, % ¼d½ cM+s HkkbZ lkgc dks vius eu dh bPNk,¡ D;ksa nckuh iM+rh Fkha\ ¼[k½ dydÙkk okfl;ksa ds fy, 26 tuojh 1931 dk fnu D;ksa egÙoiw.kZ Fkk\ 117 3 x3 =9 ¼x½ rrk¡jk vkSj okehjks ds xk¡o dh D;k jhfr Fkh\ ¼?k½ fQYe fuekZrk ds :i esa 'kSyUs nz dh D;k fo'ks"krk,¡ Fkha\ 15- ¼d½ ^fxjfxV* dgkuh ds ek/;e ls lekt dh fdu folaxfr;ksa dh vksj ladrs fd;k x;k gS\ 3 ¼[k½ izdf` r esa vk, vlary q u dk D;k ifj.kke gqvk\ ^vc dgk¡ nwljs ds nq[k esa nq[kh gksus okys* ikB ds vk/kkj ij fyf[k,A 2 16- fdUgha rhu iz'uksa ds mÙkj nhft, % 2x3=6 ¼d½ Bkdqjckjh ds fodkl ds D;k dkj.k Fks\ ^gfjgj dkdk* ikB ds vk/kkj ij fyf[k,A ¼[k½ b¶+Q+u ds nknk] ijnknk D;k olh;r djds ejs\ ¼x½ ufugky tkus ij ys[kd dks D;k lq[k feyrk Fkk\ ^liuksa ds&ls fnu* ds vk/kkj ij fyf[k,A ¼?k½ b¶+Q+u us iape dh nqdku ls dsys D;ksa [kjhns\ 17- fuEufyf[kr esa ls fdlh ,d iz'u dk mÙkj ikB~;iqLrd ^lap;u* ds vk/kkj ij fyf[k,% ¼d½ Bkdqjth ds uke t+ehu olh;r djus dh ckr dgus esa egar th us gfjgj dkdk dks D;k&D;k ykyp fn,\ ¼[k½ b¶Qu dks viuh nknh ls T;knk I;kj D;ksa Fkk\ ¼x½ Vksih ds eqga ls ^vEeh* 'kCn lqudj ?kjokys D;ksa ukjkt+ gq,\ ¼?k½ b¶+Q+u ^Vksih 'kqDyk* ikB dk ,d egÙoiw.kZ ik=k gS( dSl\s foLrkj ls le>kb,A iz'ui=k la[;k 4@1 [kaM 1- ^d* fuEufyf[kr dkO;ka'k ds vk/kkj ij fn, x, iz'uksa ds mÙkj nhft,% eueksfguh izdf` r dh tks xksn esa clk gSA lq[k LoxZ&lk tgk¡ gS] og ns'k dkSu&lk gS\ ftlds pj.k fujarj jRus'k /kks jgk gS] ftldk eqdVq fgeky;] og ns'k dkSu&lk gS\ 118 4 ufn;k¡ tgk¡ lq/kk dh /kkjk cgk jgh gS]a lhapk gqvk lyksuk] og ns'k dkSu&lk gS\ ftlds cM+s jlhys Qy&dan&ukt eso]s lc vax esa lts gS]a og ns'k dkSu&lk gS\ ftlesa lqx/a k okys lqna j izluw I;kjs] fnu&jkr g¡l jgs gS]a og ns'k dkSu&lk gS\ eSnku&fxfj&ouksa esa gfj;kfy;k¡ ygdrha] vkuane; tgk¡ gS] og ns'k dkSu&lk gS\ ftlds vuar /ku ls /kjrh Hkjh iM+h gS] lalkj dk f'kjksef.k] og ns'k dkSu&lk gS\ lcls izFke txr~ esa tks lH; Fkk ;'kLoh] txnh'k dk nqykjk] og ns'k dkSu&lk gS\ i`Foh&fuokfl;ksa dks ftlus izFke txk;k] f'kf{kr fd;k] lq/kkjk] og ns'k dkSu&lk gS\ ftlesa gq, vykSfdd rÙoK czãKkuh] xkSre] dfiy] iratfy og ns'k dkSu&lk gS\ (i) dfork dk mi;qDr 'kh"kZd nhft,A 1 (ii) dfo us ,d gh iz'u dks ckj&ckj D;ksa iwNk gS\ 2 (iii) lkxj vkSj fgeky; dh fdl :i esa dYiuk dh xbZ gS\ 1 (iv) fdu iafDr;ksa esa dgk x;k gS fd Hkkjr dh lH;rk lcls izkphu gS\ 1 (v) 2 Hkkjr dh ufn;ksa dks ^lq/kk dh /kkjk* D;ksa dgk x;k gS\ (vi) ^vuar /ku* ls dfo dk D;k vk'k; gS\ vFkok ,s vejksa dh tuuh] rq>dks 'kr&'kr ckj iz.kke ekr`&Hkw] 'kr&'kr ckj iz.kke! rsjs mj esa 'kkf;r xk¡/kh] cq)] d`".k vkS jke] ekr`&Hkw] 'kr&'kr ckj iz.kke! 119 1 fgefxfj&lk mUur ro eLrd rsjs pj.k pwerk lkxj] 'oklksa esa gSa osn&_pk,¡ ok.kh esa gS xhrk dk Loj] ,s lalf` r dh vkfn rifLofu] rstfLofu vfHkjkeA ekr`&Hkw] 'kr&'kr ckj iz.kkeA gjs&Hkjs gSa [ksr lqgkus Qy&Qwyksa ls ;qr ou&miou rsjs vanj Hkjk gqvk gS [kfutksa dk fdruk O;kid /ku eqDrgLr rw ck¡V jgh gS lq[k&laifr] /ku&/kke! izes &n;k dk b"V fy, rw lR;&vfgalk rsjk la;e ubZ psruk] ubZ LQwfrZ&;qr rq>esa fpj&fodkl dk gS Øe fpj uohu rw tjk&ej.k ls eqDr lcy míkeA ,d gkFk esa U;k;&irkdk Kku&nhi nwljs gkFk esa tx dk :i cny ns] gs ek¡! dksfV&dksfV ge vkt lkFk esa xwt ¡ mBs ^t; fgUn* ukn ls ldy uxj vkSj xzkeA ekr`&Hkw] 'kr&'kr ckj iz.kkeAA (i) izLrqr dfork dk mi;qDr 'kh"kZd fyf[k,A 1 (ii) [ksr vkSj miouksa dh D;k fo'ks"krk gS\ 1 (iii) U;k; vkSj Kku dh ckr fdu iafDr;ksa esa dgh xbZ gS\ 1 (iv) ^dksfV&dksfV ge vkt lkFk es*a dk Hkko Li"V dhft,A 1 120 (v) 2- dfork dk ewy Hkko fyf[k,A 2 (vi) lkxj vkSj fgeky; dh fdl :i esa dYiuk dh xbZ gS\ 1 (vii) dfork esa xka/kh th ds fdu fl)karksa dk mYys[k gqvk gS\ 1 fuEufyf[kr x|ka'k dks /;kuiwod Z i<+dj uhps fn, x, iz'uksa ds mÙkj nhft,% bl lalkj dks deZ{ks=k dgk x;k gSA lkjh l`f"V deZjr gSA NksVs ls NksVk izk.kh Hkh deZ dk 'kk'or lUns'k ns jgk gSA izdf` r ds lkezkT; esa dgha Hkh vdeZ.;rk ds n'kZu ugha gks jgs gSAa lw;]Z pUnz] i`Foh] xzg&u{k=kkfn fujarj xfr'khy gSAa fu;ekuqdy w lw;ksnZ ; gksrk gS vkSj lw;kZLr rd fdj.ksa izdk'k fc[ksjrh jgrh gSAa jkf=kdkyhu vkdk'k esa rkjkofy rFkk u{k=kkofy dk lkSna ;Z fog¡l mBrk gSA Øe'k% c<+rh&?kVrh pUnzdyk ds n'kZu gksrs gSAa blh rjg fofHkUu _rqvksa dk pØ viuh /kqjh ij pyrk jgrk gSA ufn;k¡ vfojy xfr ls cgrh jgrh gSAa isM+&ikS/ks] i'kq&i{kh lcds thou esa lfØ;rk gSA oLrqr% deZ ls ijs thou dk dksbZ mís'; ugha gSA euq"; dk tUe ikdj gkFk&iSj rks fgykus gh gksxa As gekjs izkphu _f"k;ksa us 'krk;q gksus dh fdUrq deZ djrs gq, thus dh bPNk izdV dh FkhA bfrgkl lk{kh gS fd fdrus gh Hkkjrh; ;qodksa us deZ'kfDr ds cy ij pUnzxIq r dh Hkk¡fr 'kfDr'kkyh lkezkT;ksa dh LFkkiuk dhA vk/kqfud ;qx esa Hkkjr tSls fo'kky tura=k dh LFkkiuk djus okys xk¡/kh] usg:] iVsy vkfn deZiFk ij n`<+rk ds gh izfr:i FksA nwljh vksj bfrgkl mu lezkVksa dks Hkh js[kkafdr djrk gS ftldh vdeZ.;rk ds dkj.k egku~ lkezkT; u"V gks x,A osn] mifu"kn~] dqjku] ckbfcy vkfn lkjs /keZxFaz k deZB euhf"k;ksa dh gh miyfC/k;k¡ gSAa vk/kqfud Kku&foKku dh xkSjo&xfjek mu oSKkfudksa dh nsu gS ftUgksua s lk/kuk dh cfy&osnh ij viuh gj lk¡l lefiZr dj nhA foKku deZ dk lk{kkr~ izrhd gSA lq[k&le`f) ds f'k[kj ij vklhu izR;sd O;fDr vFkok tkfr deZ&'kfDr dk ifjp; nsrh gSA (i) x|ka'k dk mi;qDr 'kh"kZd nhft,A 1 (ii) deZ dk lan's k fujarj gesa fduls fey jgk gS\ 1 (iii) izdf` r dh dkSu&lh vU; oLrq,¡ gSa ftuls lfØ;rk dk lan's k feyrk gS\ 1 (iv) _f"k;ksa us lkS o"kZ dk dSlk thou pkgk Fkk\ 1 (v) deZ ds cy ij fdu lkezkT;ksa dh LFkkiuk gqb\Z 1 (vi) Hkkjr tSls fo'kky tura=k dh LFkkiuk fdl cy ij dh xbZ\ 1 (vii) vdeZ.;rk ds D;k ifj.kke gksrs gS\a 1 121 (viii) /keZxFaz kksa dks deZB O;fDr;ksa dh miyfC/k D;ksa dgk gS\ 1 (ix) foKku deZ dk izrhd dSls gS\ 1 (x) lfØ;rk vkSj fo'kky dk foijhrkFkZd fyf[k,A 1 (xi) pUnz vkSj i`Foh ds nks&nks i;kZ;okph fyf[k,A 2 [k.M&^[k* 3- fuEufyf[kr esa ls fdlh ,d fo"k; ij fn, x, ladsr&fcanqvksa ds vk/kkj ij yxHkx 100 'kCnksa esa ,d vuqPNsn fyf[k,% 5 ¼d½ iqLrd esys esa v/kwjh [+kjhnkjh esys esa #fp dh iqLrdsa ewY; vf/kd] ctV de ¼[k½ f'k{kd&fnol ij esjh Hkwfedk Hkwfw edk D;k Fkh dSls fuHkkbZ izHkko vkSj ifj.kke ¼x½ nqyHZ k gksrk gS vPNk fe=k 4- vPNk fe=k dkSu D;ksa gksrk gS nqyHZ k dSls djsa pquko vkils vius cpr [kkrs dh psd&cqd [kks xbZ gSA bl lEcU/k esa rRdky mfpr dkjZokbZ djus ds fy, fuosnu djrs gq, cSd a &izc/a kd dks i=k fyf[k,A vFkok i<+kbZ dk l=k izkjaHk gks pqdk gS fdUrq ckt+kj esa ikB~;&iqLrdsa miyC/k ugha gSAa bl leL;k dks mBkrs gq, fdlh nSfud i=k ds laiknd dks i=k fyf[k,A 122 5 [kaM ^x* 5- ¼d½ 'kCn fdls dgrs gS\a og in dSls cu tkrk gS\ 1 ¼[k½ uhps fn, x, okD; esa js[kkafdr inca/k dk uke crkb,% 1 xaxk&;equk okyk ns'k Hkkjr gh gSA ¼x½ js[kkafdr in dk in&ifjp; nhft,% 2 lalkj esa lnk lq[kh dkSu jgrk gS\ 6- 2 ¼d½ funs'Z kkuqlkj okD; cukb, % (i) og eq>ls feydj pyk x;kA ¼la;Dq r okD;½ (ii) LVs'ku igqp¡ rs gh mlus VsyhQksu dj fn;kA ¼feJ okD;½ ¼[k½ jpuk ds vuqlkj okD;&Hksn crkb,% 7- (i) dgkuh iwjh gks xbZ vkSj eSa lksrk gh jgkA (ii) eSa tkurk gw¡ fd rqe euk ugha djksxAs funs'Z kkuqlkj mÙkj fyf[k, % ¼d½ egk'k;] ujsUnzA ¼[k½ dk;Z + vky;] izfr ¼laf/kPNsn dhft,½ + mÙkjA ¼laf/k dhft,½ ¼x½ HkjisV] eku&viekuA 8- 2 ¼leLr inksa dk foxzg dhft,½A 1 1 1 ¼?k½ ihrkacj igudj f'koky; pyksx\s ¼js[kkafdr inksa ds lekl dk uke fyf[k,½ 1 ¼d½ fn, x, eqgkojksa esa ls fdUgha nks dk iz;kssx okD; esa bl izdkj djsa fd vFkZ Li"V gks tk,% 2 (i) gok ls ckrsa djuk (ii) m¡xyh mBkuk (iii) fuU;kucs dk Qsj (iv) gkFk dk eSy ¼[k½ fjDr LFkkuksa dh iwfrZ mi;qDr eqgkojk vkSj yksdksfDr }kjk dhft, % (i) vkylh ds ----------------- lokj gq, fcuk dke ugha gksxkA 123 2 (ii) 9- ml xk¡o esa i<+&s fy[ks yksx rks gSa ugha] blfy, jktho ls gh lc lykg& e'kojk djrs gS]a og ----------------------- jktk gSA fuEufyf[kr okD;ksa dks 'kq) djds fyf[k,% 4 ¼d½ vkt iwjs 'kgj esa vkrad QSyh gSA ¼[k½ uko ls Mwcrs le; dsoV ikuh esa dwn iM+kA ¼x½ esjs dks vkt fo|ky; ugha tkuk gSA ¼?k½ ,d xeZ di pk; ys vkvks [k.M & ^?k* 10- fuEufyf[kr x|ka'kksa esa ls fdlh ,d dks /;kuiwod Z i<+dj iwNs x, iz'uksa ds mÙkj fyf[k, % mudk n`<+ eUrO; Fkk fd n'kZdksa dh #fp dh vkM+ esa gesa mFkysiu dks mu ij ugha Fkksiuk pkfg,A dykdkj dk ;g dÙkZO; Hkh gS fd og miHkksDrk dh #fp;ksa dk ifj"dkj djus dk iz;Ru djsA vkSj mudk ;d+hu xyr ugha FkkA ;gh ugha] os cgqr vPNs xhr Hkh] tks mUgksua s fy[ks] csgn yksdfiz; gq,A 'kSyUs nz us >wBs vkfHktkR; dks dHkh ugha viuk;kA muds xhr Hkko&izo.k Fks & nq:g ughaA ^esjk twrk gS tkikuh] ;s irywu baxfyLrkuh] lj is yky Vksih :lh] fQj Hkh fny gS fgUnqLrkuh* & ;g xhr 'kSyUs nz gh fy[k ldrs FksA 'kkar unh dk izokg vkSj leqnz dh xgjkbZ fy, gq,A ;gh fo'ks"krk mudh ft+na xh dh Fkh vkSj ;gh mUgksua s viuh fQ+Ye ds }kjk Hkh lkfcr fd;k FkkA ¼d½ fQ+Yedkj izk;% vkiuh fQ+Yeksa esa mFkyh phts+a D;ksa nsrs gS\a 1 ¼[k½ dykdkj miHkksDrk dh #fp;ksa dk ifj"dkj dSls dj ldrk gS\ 2 ¼x½ D;ksa dgk x;k gS & ^;g xhr 'kSynas z gh fy[k ldrs Fks\* 2 ¼?k½ viuh fQ+Yeksa ds }kjk 'kSynas z us D;k fl) djus dk iz;kl fd;k\ 1 vFkok nqfu;k dSls otwn esa vkbZ\ igys D;k Fkh\ fdl fcanq ls bldh ;k=kk 'kq: gqb\Z bu iz'uksa ds mÙkj foKku viuh rjg ls nsrk gS] /kkfeZd xaFz k viuh&viuh rjg lsA lalkj dh jpuk Hkys gh dSls gqbZ gks ysfdu /kjrh fdlh ,d dh ugha gSA iaNh] ekuo] i'kq] unh] ioZr] leanj vkfn dh blesa cjkcj dh fgLlsnkjh gSA ;g vkSj ckr gS fd bl fgLlsnkjh esa ekuo&tkfr us viuh cqf) ls cM+h&cM+h nhokjsa [kM+h dj nh gSAa igys iwjk lalkj ,d 124 ifjokj ds lEeku Fkk] vc VqdM+kas esa c¡Vdj ,d&nwljs ls nwj gks pqdk gSA igys cM+&s cM+s nkykuks&a vk¡xuksa esa lc feytqydj jgrs Fks] vc NksV&s NksVs fMCcs tSls ?kjksa esa thou fleVus yxk gSA c<+rh gqbZ vkckfn;ksa us leanj dks ihNs ljdkuk 'kq: dj fn;k gS] isM+kas dks jkLrksa ls gVkuk 'kq: dj fn;k gS] QSyrs gq, izn"w k.k us iafN;ksa dks cfLr;ksa ls Hkxkuk 'kq: dj fn;k gSA ck:nksa dh fouk'kyhyhvksa us okrkoj.k dks lrkuk 'kq: dj fn;kA vc xjeh esa T+;knk xjeh] csoDr dh cjlkrs]a t+yt+y]s lSykc] rwQ+ku vkSj fur u, jksx] ekuo vkSj izdf` r ds blh vlary q u ds ifj.kke gSAa ¼d½ ^nqfu;k dSls otwn esa vkbZ\* bl iz'u dk mÙkj oSKkfud vkSj /keZxFaz k dSls nsrs gS\a 2 ¼[k½ ^/kjrh fdlh ,d dh ugha gS* & dFku dk vk'k; Li"V dhft,A 2 ¼x½ c<+rh gqbZ vkcknh ds D;k ifj.kke fn[kkbZ iM+ jgs gSAa 2 11- fuEufyf[kr dkO;ka'k esa ls fdlh ,d dks i<+dj iwNs x, iz'uksa ds mÙkj fyf[k,% dsoy bruk j[kuk vuqu; & ogu dj ldw¡ bldks fuHkZ;! urf'kj gksdj lq[k ds fnu esa ro eq[k igpkuw¡ fNu&fNu esAa nq%[k&jkf=k esa djs oapuk esjh ftl fnu fuf[ky egh ml fnu ,slk gks d#.kke;] rqe ij d:¡ ugha dqN la'k;AA ¼d½ dfo vkSj dfork dk uke fyf[k,A 1 ¼[k½ dfo ds vuqlkj nq%[kksa esa lkjs yksx mlls dSlk O;ogkj djsxa \s 1 ¼x½ ^ro eq[k igpkuw¡ fNu&fNu* ls dfo dk D;k rkRi;Z gS\ 2 ¼?k½ dfo d#.kke; ij la'k; D;ksa ugha djuk pkgrk gS\ 2 vFkok ;qx&;qx izfrfnu izfr{k.k izfrQy] fiz;re dk iFk vkyksfdr djA lkSjHk QSyk foiqy /kwi cu 125 e`ny q ekse&lk ?kqy js e`nq ru! ns izdk'k dk fla/kq vifjfer rsjs thou dk v.kq xy&xy! iqyd&iqyd esjs nhid ty! ¼d½ dfo vkSj dfork dk uke fyf[k,A 1 ¼[k½ nhid izdk'k dk vlhe lkxj dSls ns ldrk gS\ 1 ¼x½ fiz;re ds fy, D;k&D;k djus dk vkxzg nhid ls fd;k x;k gS\ 2 ¼?k½ Hkko Li"V dhft,% e`ny q ekse&lk ?kqy js e`nq ru! 2 12- fuEufyf[kr esa ls fdlh rhu iz'uksa dk mÙkj nhft,% 3x3 = 9 ¼d½ ehjkckbZ us Jhd`".k ls viuh ihM+k gjus dh izkFkZuk fdl izdkj dh gS\ ¼[k½ ^euq";rk* dfork esa dfo us mnkj O;fDr dh D;k igpku crkbZ gS\ ¼[k½ ^ioZr izn's k esa ikol* dfork esa >jus ioZr dk xkSjo&xku dSls djrs gS\a ¼[k½ ^lj fgeky; dk geus u >qdus fn;k* bl iafDr esa fgeky; fdldk izrhd gS vkSj blls dfo D;k dguk pkgrk gS\ 13- ¼d½ fcgkjh ds nksgksa ds vk/kkj ij xzh"e _rq dh izpaM xehZ vkSj nqigjh dk o.kZu vius 'kCnksa esa dhft,A 3 ¼[k½ ^rksi* dfork ds vk/kkj ij fyf[k, fd fojklr esa feyh pht+kas dk egÙo D;ksa gksrk gS\ 2 14- fuEufyf[kr esa ls fdUgha rhu iz'uksa ds mÙkj fyf[k, % 3 x3 =9 ¼d½ ;sYnhjhu us [;wfØu dks nks"kh Bgjkrs gq, D;k dgk\ ¼[k½ leqnz ds xqLls dh D;k otg Fkh\ mlus viuk xqLlk dSls fudkyk\ ¼x½ ^ir>j esa VwVh ifÙk;k¡* ikB esa ys[kd us tkikfu;ksa ds fne+kx esa LihM dk batu yxkus dh ckr D;ksa dgh\ ¼?k½ ^ot+hj vyh ,d tk¡ckt+ flikgh Fkk]* dSl\s Li"V dhft,A 15- ¼d½ tqyl w ds yky ckt+kj vkus ij yksxksa dh D;k n'kk gqbZ\ ^Mk;jh dk ,d iék* ikB ds vk/kkj ij fyf[k,A 126 3 ¼[k½ thou dSls ?kjksa esa fleVus yxk gS\ ^vc dgk¡ nwljs ds nq[k esa nq[kh gksus okys* ikB ds vk/kkj ij fyf[k,A 16- fuEufyf[kr esa ls fdlh ,d iz'u dk mÙkj ikB~;&iqLrd ^lap;u* ds vk/kkj ij fyf[k,% 2 4 ¼d½ Bkdqjckjh dh LFkkiuk ds ckjs esa xk¡o esa D;k dgkuh izpfyr Fkh\ ¼[k½ rksrksa ds izfr izhre pan ds e/kqj O;ogkj ls muds pfj=k dh dkSu&lh ckrsa ekywe gksrh gS\a 17- fuEufyf[kr esa ls fdUgha rhu iz'uksa ds mÙkj nhft, % ¼d½ xk¡o esa Bkdqjckjh ls gh ioZ&R;kSgkj dh 'kq:vkr D;ksa gksrh Fkh\ ¼[k½ jkenqykjh dh ekj ls b¶+Q+u ij D;k izHkko iM+k\ ¼x½ Ldwy dh fiVkbZ dk Mj Hkqykus ds fy, ys[kd D;k lkspk djrk Fkk\ ^liuksa ds&ls fnu* ikB ds vk/kkj ij fyf[k,A ¼?k½ b¶+Q+u dks viuh nknh ls cM+k I;kj D;ksa Fkk\ 127 2x3 = 6 vad &&& ;kstuk &&& fganh ¼ikB~;Øe ^c*½ lkekU; funs'Z k % ewY;kadu djrs le; d`i;k fuEufyf[kr funs'Z kksa ds izfr lko/kkuh cjfr,A 1- vad&;kstuk dk mís'; ewY;kadu dks vf/kdkf/kd oLrqfu"B cukuk gSA vad&;kstuk esa fn, x, mÙkj&fcanq vafre ugha gSAa ;s lq>kokRed ,oa lkadfs rd gSAa ;fn ijh{kkFkhZ us buls fHkUu] fdarq mi;qDr mÙkj fn, gSa rks mls mi;qDr vad fn, tk,¡A 2- ewY;kadu djus okys ijh{kdksa ds lkFk tc rd izFke fnu oS;fDrd vFkok lkewfgd :i ls vad&;kstuk ij Hkyh&Hkk¡fr vkn~;ksikar fopkj&fofue; ugha gks tkrk rc rd ewY;kadu vkjaHk u djk;k tk,A 3- ewY;kadu&dk;Z viuh futh O;k[;k ds vuqlkj ugha cfYd vad&;kstuk esa fufnZ"V funs'Z kkuqlkj gh fd;k tk,A 4- iz'u ds miHkkxksa ds mÙkjksa ij nkb± vksj vad fn, tk,¡] ckn esa miHkkxksa ds bu vadksa dk ;ksx ckb± vksj ds gkf'k;s esa fy[kdj mls xksykd`r dj fn;k tk,A 5- ;fn iz'u dk dksbZ miHkkx ugha gS rks ml ij ckb± vksj gh vad fn, tk,¡A 6- ;fn ijh{kkFkhZ us fdlh vfrfjDr iz'u dk mÙkj Hkh fy[k fn;k gS rks ftl iz'u dks igys gy fd;k x;k gS ml ij vad nsa vkSj ckn esa fd, gq, dks dkV nsAa 7- laf{kIr fdarq mi;qDr foospu ds lkFk izLrqr fd;k x;k fcanoq r mÙkj foLr`r foospu dh vis{kk vPNk ekuk tk,xkA ,sls mÙkjksa dks mfpr egÙo nsus dh vis{kk gSA 8- ckj&ckj dh ,d gh izdkj dh v'kq) orZuh ij vad u dkVsAa 9- 'kCn&lhek ls vf/kd 'kCn gksus ij Hkh vad u dkVs tk,¡A 10- vifBr xn~;ka'k vkSj dkO;ka'k ds iz'uksa esa ijh{kkfFkZ;ksa dh le> esa vfHkO;fDrxr ;ksX;rk dks vf/kd egÙo u fn;k tk, ftlls ijh{kkfFkZ;ksa dks vdkj.k gkfu gksA 11- ewY;kadu esa lai.w kZ vad iSekus & 0 ls 100 dk iz;ksx vHkh"V gS vFkkZr~ ijh{kkFkhZ us ;fn lHkh visf{kr mÙkj&fcanv q ksa dk mYys[k fd;k gS rks mls iwjs 100 vad fn, tkus pkfg,A 12- rkjkafdr iz'uksa ds mÙkj esa ijh{kkFkhZ ds fparu ¼lksp½ dks egÙo nsrs gq, vad nsA 128 iz'u&i=k&la[;k 4@1@1 fganh ikB~;Øe &&& ^c* [k.M& ^d* 1- (i) vifBr dkO;ka'k & ^uohu------- vpZuk lquk ldw¡A* 'kh"kZd & ^uohu xku@uohu vpZuk@uohu oanuk* (vU; mi;qDr 'kh"kZd Hkh ekU; gS)a 1 (ii) uohu xku] uohu n`f` "V] uohu izkr%] Lora= jk"Vª ds uohu lw;Z dk mn; vkfnA 1 (iii) jk"Vª Økafr ds i'pkr~ cy l¡tksdj mUufr ds iFk ij vxzlj gks jgk gS blhfy, mls izcnq /~ k dgk x;k gSA 1 ns'k ds Hkfo"; dks mTToy cukus ds fy, lg;ksx] leHkko o ,drk ds lkFk vkxs c<s+aA 2 u, lekt ds fuekZ.k ds fy, izR;sd O;fDr egRoiw.kZ gS] dksbZ NksVk&cM+k ugha gSA 1 dqyhu tks mls ----------------------- xq:j gS leFkZ ----------------------- etwj gSA 1 oSj Hkko dks Hkqyk dj u, jk"Vª dk fuekZ.k djsAa 1 (iv) (v) (vi) (vii) vFkok (i) (ii) (iii) mUgsa iz.kke@ohjksa dks iz.kke@dfo dk ueu vkfnA (vU; mi;qDr 'kh"kZd Hkh ekU; gS)a 1 ftUgksaus jk"Vª dh osnh ij vius izk.kksa dks U;ksNkoj fd;k gS os gh Hkkjr ds ekFks dk yky panu gSAa 1 • • • (iv) • • • tks ohj vkt+knh ds iFk ij fuHkZj gks c<+rs jgrs gSa ck/kkvksa dh ijokg fd, fcuk MVs jgrs gSa vius izk.k U;ksNkoj djus ds fy, lnSo rRij jgrs gSAa tks U;k; ds iFk ij pyrs gksAa tks ns'k ds izfr lefiZr gksAa ftuds deksZa ds }kjk ns'k dks dhfrZ feyrh gksA 129 1+1 = 2 1 (v) (vi) 2- (i) • ftuesa Lons'k dk izes gS] • tks ck/kkvksa ls yM+rs gq, var le; rd ns'k ds fy, lefiZr gSAa • tks mRlkgh] rstLoh gSAa • ftUgksua s LokFkZ dks R;kx fn;k gksA • tks dkeuk jfgr gSAa 1+1 = 2 1 vifBr xn~;ka'k ^vkRe lEeku* (blh rjg ds feyrs&tqyrs 'kh"kZd ij vad fn, tk,¡) (ii) (iii) (iv) (v) • 'kfDr] lkgl] mRlkg vkfn xq.kksa dk tUe gksrk gSA • thou dk ekxZ iz'kLr gksrk gSA 1 1+1 = 2 bZ";kZ&}s"k dh Hkkoukvksa ls eqDr gksdj ekuo ek= dks vius ifjokj dk vax ekurk gSA • vklqjh izo`fÙk;ksa ls eqDr gks tkrk gSA • mldh vk/;kfRed 'kfDr dk fodkl gksrk gSA 1 1 vkRelEeku ds vHkko esa gekjh laLd`fr] gekjk /keZ o gekjk vfLrRo gh [kks tk,xkA 2 (vi) Lora=rk laxkz e dk dkj.k vkRelEeku dh izfr"Bk crk;k gSA 1 (vii) izR;; & rk] bd ½+½ = 1 (viii) foijhrkFkZd & vusdrk] Lons'kh ½+½ = 1 (ix) i;kZ;okph& iFk& jkg] ekxZ] iaFk] jkLrk vkfnA (dksbZ nks) bZ'oj& ijekRek] Hkxoku] izHkq] bZ'k] djrkj vkfnA (dksbZ nks) ½+½+ ½+½ = 2 ([kaM ^[k*) 3- vuqPNsn (i) fo"k; &oLrq 3 (ii) Hkk"kk&'kSyh 2 (vuqPNsn esa fn, x, fopkj fcanv q ksa dk foLrkj gksuk pkfg,) 130 =5 4- i= (i) vkjaHk o var dh vkSipkfjdrkvksa ds fuokZg ds fy, (ii) fo"k; ds mi;qDr lan's k ds fy, 1+1 2 (iii) Hkk"kk ds fy, 1=5 ([kaM ^x*) 5- (d) in& O;kdjf.kd fu;eksa ds vuqlkj okD; esa iz;Dq r gksus ij 'kCn in cu tkrk gS@ okD; esa iz;Dq r gksus ij 'kCn in dgykrk gSA inca/k&inksa dk og lewg tks ,d O;kdjf.kd dksfV dk dk;Z djrk gS] inca/k dgykrk gSA mnkgj.k in & jke esjk fe= gS inca/k & esjs iM+kl s esa jgus okyk jke esjk fe= gSA (dksbZ Hkh mi;qDr mnkgj.k fn, tkus ij vad fn, tk,¡) 1 ([k) laKk inca/k (x) in ifjp; js[kk & • laKk] • O;fDrokpd laKk] • L=hfyax] • ,d opu • drkZ dkjd • ^dgrh gS* fØ;k dk dÙkkZA eSa & • loZuke] • iq#"kokpd (mÙkeiq#"k) • L=hfyax] ½+½ = 1 131 • • • ,d opu dÙkkZ dkjd ^djrh gw¡* fØ;k dk dÙkkZA ½+½ + ½+½ = 2 ('kqn/~ k O;kdjf.kd dksfV (Hksn) rFkk in ifjp; esa vU; ,d fcanq ds 'kqn/~ k mYys[k ij vad fn, tk,¡A) 6- (d) (i) (ii) ([k) (i) (ii) 7- 8- 1+1 = 2 la;Dq r okD; feJ okD; 1+1 = 2 (d) izR;sd] egs'k ½+½ = 1 ([k) ;ksx $ vklu] lnk $ ,o ½+½ = 1 (x) 'kfDr ds vuqlkj] uhyk gS dey tks @ uhykdey ½+½ = 1 (?k) fo|ky; & rRiq#"k jke&';ke& }a} @ n~ona o~ ½+½ = 1 (d) eqgkojks ,oa yksdksfDr;ksa ds mfpr iz;ksx ij vad fn, tk,¡A ([k) (i) (ii) 9- la;Dq r okD; & fo|kFkhZ us esgur dh vkSj lQyrk izkIr dhA feJ okD; & tc og vk;k] eSa ?kj ls fudy x;k FkkA flj ij dQu ck¡/kdj eu paxk rks dBkSrh esa xaxkA 1+1 = 2 1+1 = 2 okD; 'kq¼ dhft, %& (i) (ii) (iii) (iv) eq>s vkt ;gha jguk gSA m/kj er ns[kksA geus [kk fy;k gS@ ge [kk pqds gSAa ,d fxykl xeZ nw/k ihdj lks tkvksA 1 1 1 1=4 ([kaM ^?k*) 10- dkO;ka'k (d) dfo & lqfe=kuanu iar dfork & ioZr izn's k esa ikol ½+½ = 1 132 ([k) o"kkZ ds Hk;adj :i dks ns[kdj 'kky ds o`{k ekuks Hk;Hkhr gksdj /kjrh esa /k¡l x, gSAa 1 (x) ioZrksa ij ckny Nk x, gSa blfy, >juksa dk dsoy Loj gh lqukbZ ns jgk gS] fn[kkbZ ugha ns jgs gSAa 2 (?k) izd`fr ds {k.k&{k.k ifjofrZr :i dks ns[kdj ,slk izrhr gksrk gS ekuksa ckny :ih ;ku ij lokj banz tknw ds [ksy fn[kk jgk gSA 2 vFkok (d) dfo& dSQ+h vkt+ eh ½+½ = 1 dfork & dj pys ge fQnk ([k) g¡lrs & g¡lrs ns'k ds fy, cfynku gksukA 1 (x) cfynku ds fy, rS;kj gksus dk ladrs nsrk gSA 2 (?k) dqckZuh dh ijaijk lekIr u gksus ik, vFkkZr~ cfynku ds ekxZ ij yksx lnSo vxzlj gksrs jgsAa 2 11- (d) ([k) (x) (?k) • ge vius voxq.kksa ls ifjfpr gks tkrs gSAa • vkRekoyksdu dk volj izkIr gksrk gSA • LoHkko esa ifjorZu vkrk gSA • eu fueZy gks tkrk gSA • izHkq ds n'kZuksa dk ykHk feysxkA • uke lqfeju dk lq[k izkIr gksxkA • HkfDr :ih tkxhj izkIr gksxhA • vktknh ds laxkz e dh fojklr gSA • ;g rksi vR;ar 'kfDr'kkyh Fkh • blus cM+&s cM+s lwjekvksa dh /kfTt;k¡ mMk nhaA • Lora=rk fnol o x.kra= fnol ds volj ij pedkbZ tkrh gSA • lnSo fiz;re dk iFk vkyksfdr djus dk vkxzgA • vifjfer izdk'k iznku djus dk vkxzgA 3 3 133 3 • /kwi cu dj lkSjHk QSykus dk vkxzgA • iqyfdr eu ls flgj&flgj dj fog¡l&fog¡l dj e/kqj Hkko ls fujarj tyrk jgsA 3 12- (d) dfo ijksidkj] R;kx vkSj nku'khyrk ls ifjiw.kZ thou thus dk lan's k nsrk gSA e`R;q ds i'pkr ftls mlds lqdeksaZ ds dkj.k ;kn fd;k tkrk gS ogh e`R;q lqe`R;q gksrh gSA /ku laifÙk dk vfHkeku ugha djuk pkfg,A lcdks ,d eku ijLij HkkbZpkjs dk O;ogkj djuk pkfg,A 3 ([k) dfo us bZ'oj ls vkfRed ,oa uSfrd cy iznku djus dh izkFkZuk dh gSA os vkin fLFkfr esa Lo;a la?k"kZ djuk pkgrs gSa vr% bZ'oj mUgsa dsoy lkgl o 'kfDr iznku djsAa 2 13- (d) [ksydwn ds izfr vR;f/kd vkd"kZ.k ds dkj.k Vkbe Vscy ij vey ugha gks ikrkA 1 ([k) [ksy dwn esa jes jgus ds dkj.k og i<+kbZ ugha dj ikrk FkkA QyLo:i HkkbZ&lkgc mls Mk¡Vrs&QVdkjrs FksA mudh ulhgr vkSj Qthgr ls cpus ds fy, gh og mudh vk¡[kksa ls nwj jgus dk iz;kl djrk FkkA 2 (x) ekSr vkSj foifÙk ds chp ls ys[kd dk rkRi;Z QVdkj vkSj ?kqM+fd;ksa ls gSA og QVdkj vkSj ?kqM+fd;k¡ [kkdj Hkh [ksyuk pkgrk FkkA 2 vFkok (d) D;ksafd og usd Fkk nwljksa dh enn ds fy, lnk rRij jgrk FkkA leLr }hiokfl;ksa ds izfr mlesa R;kx o lsok Hkkouk FkhA 2 ([k) viuh ikjaifjd iks'kkd ds lkFk dej esa lnSo ydM+h dh ryokj ck¡/ks jgrk FkkA 1 (x) yksxksa ds erkuqlkj mldh ryokj esa dqN nSoh; 'kfDr Fkh] blhfy, og vusd lkgfld dkjukes djus esa leFkZ FkkA (?k) ikB& ^rrk¡jk& okehjks dFkk* ys[kd & yhyk/kj eaMyksbAZ 134 1+1 = 2 14- (fdUgha rhu iz'uksa ds mRrj visf{k {krr gS) (d) cM+s HkkbZ lkgc drZO;&cks/k dh Hkkouk ls c¡/ks gq, FksA NksVHs kkbZ dks vPNh f'k{kk nsus ds fy, og mlds le{k vkn'kZ izLrqr djuk pkgrs FksA 3 ([k) dydÙkk okfl;ksa ds fy, ;g fnu viwoZ vkSj mYys[kuh; FkkA vaxt zs h ljdkj ds Hkkjh fojks/k ds ckotwn dydÙkk okfl;ksa us cM+h /kwe&/kke ls Lora=rk fnol euk;kA ftlesa efgykvksa us c<+p<+ dj fgLlk fy;k vkSj fxj¶rkfj;k¡ nhaA mUgksua s caxky ds uke ij yxs dyad dks /kks fn;kA 3 (x) xk¡o dh jhfr ds vuqlkj ,d gh xk¡o ds yM+ds & yM+dh esa fookg lac/a k gks ldrs FksA vyx&vyx xk¡o ds yM+d&s yM+dh esa fookg lac/a k LFkkfir ugha gks ldrs FksA 3 (?k) fQYe&fuekZrk ds :i esa 'kSyUs nz us tks fQYe cukbZ Fkh] og iSlk dekus ds mn~n's ; ls ugha FkhA mUgksua s ;'k vkSj laifÙk dh dkeuk ugha dh FkhA os vkn'kZoknh Hkkoqd dfo Fks] mUgksua s vkRe&larfq "V ds fy, fQYe cukbZ Fkh] rFkk mUgksua s nq[k dks Hkh lgt fLFkfr esa thou lkis{k :i esa izLrqr fd;kA fQYe ds vlQy gksus ds Hk; ls mUgksua s fln~/kkarksa ds lkFk le>kSrk ugha fd;kA mUgksua s n'kZdksa dh #fp dh vkM+ esa mFkysiu dks dHkh Lohdkj ugha fd;k vkSj lnSo n'kZdksa dh #fp dk ifj"dkj djus dk iz;kl fd;kA 3 15- (d) ^fxjfxV* dgkuh esa lekt }kjk dkuwu&O;oLFkk dh vogsyuk] 'kklu & O;oLFkk esa HkkbZ & Hkrhtkokn rFkk pkVqdkfjrk dk cksyckyk gksuk fpf=r gqvk gSA lekt esa Hkz"Vkpkj o fj'or[kksjh Qy&Qwy jgh gSA 3 ([k) vf/kd xehZ iM+us yxh] vle; o"kkZ gksus yxhA Hkwdia ] ck<+ rFkk rwQku vkus yxsA u,&u, jksx c<+ pysA 2 16- (fdUgha rhu iz'uksa ds mRrj visf{kr gS) (d) Bkdqjckjh ds izfr xk¡o ds yksxksa esa vxk/k Jn~/kk FkhA izR;sd dk;Z dh lQyrk dk Js; Bkdqjth dks fn;k tkrk FkkA va/k fo'okl ds dkj.k Hkh yksx eqDr&gLr gks #i,] tsoj] vukt] tehu vkfn Bkdqjckjh dks nku esa nsrs FksA 2 ([k) ekSyoh gksus ds dkj.k mUgksua s olh;r esa bPNk izdV dh fd ejus ds ckn mudh yk'k dcZyk ys tkbZ tk,A 2 135 (x) ukuh dk Hkjiwj I;kj feyrk FkkA rkykc esa ugkus dk vkuan feyrk FkkA ogk¡ mUgsa [kwc nw/k&ngh [kkus dks feyrk FkkA ukuh vius iksrksa dks Hkh ys[kd dh rjg gh O;ogkj djus ds fy, dgrh rks ys[kd dks Lo;a ij xoZ gksrkA 2 (?k) Vksih b¶+ Q+u ds }kjk nh tkus okyh [kkus dh dksbZ lkexzh ugha ysrk FkkA Qy ds vykok dqN vkSj xzg.k u djus ds dkj.k gh b¶+ Q+u us dsys [kjhnsA 2 17- (fdlh ,d iz'u dk mRrj visf{kr gS) (d) mUgsa cSdBaq izkfIr dk ykyp fn;k] rhuksa yksdksa esa dhfrZ txexkus rFkk yksxksa }kjk fpjdky rd ;kn j[kus dh ckr dgha xbZA mUgsa izyksHku fn;k x;k fd Bkdqjth ds lkFk mudh vkjrh mrkjh tk,xh] lk/kq&lar ik¡o i[kkjsaxsA mudk yksd&ijyksd lq/kj tk,xk] thou lkFkZd gks tk,xkA 4 ([k) b¶+ Q+u] Vksih 'kqDyk dk izFke ije fe= FkkA b¶+ Q+u vkSj mldh nknh us mls Hkjiwj I;kj fn;k Fkk] mlus Vksih 'kqDyk dks dHkh Hkh vdsyis u dk vglkl ugha gksus fn;k FkkA og mlds eu dk nq[k&nnZ le>rk Fkk] Vksih b¶Qu ds fcuk v/kwjk FkkA Vksih bl ikB dk uk;d gS vkSj b¶+ Q+u ds fcuk Vksih dk pfj= vksj ;g dgkuh] nksuksa gh v/kwjs gSA 4 iz'u&i=k&la[;k 4@1 fganh ikB~;Øe &&& ^c* [k.M& ^d* 1- (i) (ii) (iii) (iv) ^Hkkjr dh efgek* @ ^lalkj dk f'kjksef.k Hkkjr* (vU; mi;qDr 'kh"kZd Hkh Lohdk;Z gS)a 1 Hkkjr dh fo'k"krkvksa dks mtkxj djus ds fy,] Hkkjr dh efgek dk c[kku djus ds fy, rFkk Hkkjr dh HkkSxksfyd] izkd`frd] vk/;kfRed vkSj lkaLd`frd xfjek vkSj ns'k ds izfr vkReh;rk dh vfHkO;fDr ds fy, dfo us ,d gh iz'u dks ckj&ckj iwNk gSA 2 fgeky; dks Hkkjr dk eqdVq rFkk lkxj dks mldk pj.k i[kkjus okyk dgk x;k gSA 1 ^^lcls izFke txr~ esa tks lH; Fkk ;'kLoh] txnh'k dk nqykjk] og ns'k dkSu&lk gS\** 1 136 (v) (vi) ufn;ksa ds ve`r leku ty ls gh ;g Hkkjr& Hkwfe flafpr gS] mitkÅ gSA ;g ty gh thounk;h gSA 2 leLr izkd`frd laink] HkwxHkZ esa O;kIr [kfut inkFkZ vkfn ls gSA 1 vFkok ^ekr`Hkwfe dh efgek*] ^ekr`Hkwfe dks ueu* (vU; mi;qDr 'kh"kZd Hkh Lohdk;Z gS)a 1 (ii) gfj;kyh ls ifjiw.kZ [ksr gSa vkSj miou Qy&Qwyksa ls ;qDr gSAa 1 (iii) ^,d gkFk esa U;k; irkdk] Kku&nhi nwljs gkFk esAa * 1 (iv) ge djksM+kas dh la[;k esa feydj ns'k dh j{kk djsAa 1 (v) HkkjrHkwfe dh oanuk dh xbZ gSA vej iq#"kksa dks tUe nsus okyh] lR;] izse] vfgalk vkSj d#.kk dk Hkko txkus okyh] izkd`frd laink ls ifjiw.kZ gekjh ekr`Hkwfe oanuh; gSA 2 lkxj dks Hkkjr ekrk ds pj.k i[kkjus okyk rFkk fgeky; dks Hkkjr ekrk dk mUur eLrd ekuk x;k gSA 1 dfork esa xka/kh th ds izes ] n;k] lR;] vfgalk ,oa /kS;Z vkfn fln~/kkarksa dk o.kZu fd;k x;k gSA 1 ^deZ{ks=*] ^deZ*] ^deZ dk egRo*] ^deZ gh thou gS* (vU; mi;qDr 'kh"kZd Hkh Lohdk;Z gSAa ) 1 (ii) NksV&s ls&NksVs izk.kh ls Hkh deZ dk lan's k gesa fujarj fey jgk gSA 1 (iii) lw;]Z pan]z i`i`Foh] xzg vkSj u{k= vkfn ls fujarj lfØ;rk dk lan's k feyrk gSA 1 (iv) gekjs izkphu ½f"k;ksa us lkS o"kZ rd ds deZB thou dh dkeuk dh FkhA 1 (v) deZ ds cy ij vusd Hkkjrh; ;qodksa us panxz Iq r ds lkezkT; dh Hkk¡fr 'kfDr'kkyh ns'k dh LFkkiuk dh gSA 1 deZcy ds vk/kkj ij dh xbZ A 1 (i) (vi) (vii) 2- (i) (vi) 137 cM+&s cM+s lkezkT; u"V gks tkrs gSa vkSj lkjh O;oLFkk,¡ Hkh u"V gks tkrh gSaA 1 deZB O;fDr;ksa us /keZ&xzFa kksa ds ek/;e ls uSfrd ewY;ksa ,oa deZB cuus dh f'k{kk nh gSA 1 oSKkfudksa us Kku&foKku dh xfjek dks c<+kus ds fy, deZ lk/kuk dh cfyosnh ij viuh gj lk¡l lefiZr dj nhA 1 (x) fuf"Ø;rk] y?kq (vU; mi;qDr 'kCn Hkh Lohdk;Z gSAa ) 1 (xi) pan&z e;ad] pk¡n] pank vkfn (vii) (viii) (ix) i`Foh & Hkw] Hkwfe] /kjk vkfn ½+½ + (izR;sd ds nks&nks i;kZ; visf{kr) ½+½ = 2 ([kaM ^[k*) 3- vuqPNsn (i) fo"k;&oLrq (ii) Hkk"kk&'kSyh 3+2 (vuqPNsn esa fn, x, fopkj fcanv q ksa dk foLrkj gksuk pkfg,) =5 4- i= (i) vkjaHk o var dh vkSipkfjdrkvksa ds fuokZg ds fy, (ii) fo"k; ds lan's k ds fy, 1+1 2 (iii) Hkk"kk ds fy, 1=5 ([kaM ^x*) 5- (d) o.kksZa dk lkFkZd lewg ^'kCn* dgykrk gSA tc og O;kdjf.kd fu;eksa esa ca/kdj okD; esa iz;Dq r gksrk gS] rc ^in* cu tkrk gSA ([k) laKk inca/k 1 1 (x) ^lalkj es*a dk in&ifjp; • tkfrokpd laKk] • vf/kdj.k dkjd 138 • ,dopu • iqfYyax • ^jgrk gS* fØ;k ls lacfa /kr (izR;sd in dk in&Hksn rFkk nks vU; O;kdjf.kd ifjp; 'kqn/~ k gksus ij iwjs vad fn, tk,¡A) 6- (d) (i) 1+ ½+½=2 la;Dq r okD; & og eq> ls@eq>s feyk vkSj pyk x;kA (ii) feJ okD; & tc og LVs'ku igqp¡ k rc mlus VsyhQksu fdj fn;kA tSls gh og LVs'ku igq¡pk] mlus VsyhQksu dj fn;k 1+1 ([k) jpuk ds vuqlkj okD; & Hksn (i) la;Dq r okD; (ii) feJ okD; 1+1 7- (d) egk $ vk'k;] uj $ banz ½+½ = 1 ([k) dk;kZy;] izR;qRrj ½+½ = 1 (x) HkjisV& isV Hkjdj eku&vieku & eku vkSj vieku ½+½ = 1 (?k) ihrkacj& deZ/kkj; lekl f'koky;& rRiq#"k lekl ½+½ = 1 8- (d) fdUgha nks eqgkojksa dk okD;ksa esa ,sls iz;ksx ftlls vFkZ Li"V gks tk,A ([k) (i) flj ij lokj 1+1 1+1 (ii) va/kksa esa dkuk jktk 9- (d) vkt iwjs 'kgj esa vkrad QSyk gSAS 1 ([k) uko Mwcrs le; dsoV ikuh esa dwn iM+kA 1 (x) eq>s vkt fon~;ky; ugha tkuk gSA 1 (?k) ,d di xeZ pk; ys vkvksA 1 139 ([kaM ^?k*) 10- (d) n'kZdksa dh :fp okLrfodrk ls nwj mFkysiu esa gSA vr% mudh :fp dh vkM+ esa vkfFkZd ykHk dekus ds fy,A 1 ([k) vkn'kZoknh lR; rFkk lkekftd fodkl&lac/a kh dFkk oLrq dks lgt] ljy rFkk vkd"kZd Hkk"kk&'kSyh esa nsdj miHkksDrk dh :fp---- 2 (x) 'kSyUs nz Hkkoizo.k xhrdkj FksA mUgsa 'kksgjr] lEeku o /ku dh ykylk ugha FkhA os vius xhrksa esa >wBk vkfHktkR; ugha viukrs Fks vkSj ljy Hkk"kk ds iz;ksx ls tulk/kkj.k ds ân; dks Nwrs FksA 2 (?k) lekt esa O;kIr >wBs vkfHktkR; dks rksM+u]s n'kZdksa dh vfHk:fp dk ifj"dkj djus rFkk ekuo dks 'kkar thou thus dh izjs .kk nsus dk iz;kl fd;k gSA 1 vFkok (d) oSKkfud vius rdksaZ ds vk/kkj ij rFkk /keZxFaz k viuh /kkfeZd ekU;rkvksa ds vk/kkj ijA 1+1 = 2 ([k) /kjrh ij fon~;eku gj tM+&psru dk bl ij leku vf/kdkj gSA izR;sd tho dks bZ'oj us thou thus vkSj fodkl djus dk leku vf/kdkj fn;k gSA ijarq ekuo us viuh cqnf~ /keRrk ls bl ij (/kjrh) ,dkf/kdkj tek fy;k gS] tks vuqfpr gSA 2 (x) /kjrh dks iznwf"kr fd;k rFkk izd`fr ds egRoiw.kZ vax&unh] ioZr] isM+&ikS/kks]a leqnz vkfn dks gVkuk izkjaHk fd;k] ftlls ekuo&ek= dk thou nwHkj gks x;k gSA ck:n dh fouk'k yhyk us Hk;kud [krjk mRiUu dj fn;k gS rFkk ekSle pØ esa Hkh Hk;kud vlary q u vk x;k gSA 2 11- (d) johUnzukFk Bkdqj] ^vkRe=k.k* ½+½ = 1 ([k) Ny&diV vkSj oapuk ls Hkjk O;ogkj djsxa As 1 (x) lq[k ds gj iy esa bZ'oj dks ;kn j[kukA dfo nq[k ds lkFk&lkFk vius lq[k ds iyksa esa Hkh bZ'oj dks ;kn j[kuk pkgrk gSA 2 140 (?k) dfo dk bZ'oj dh d#.kk ij vVy fo'okl gSA og nq[k dh jkf= esa lalkj n~okjk Nys tkus ij Hkh bZ'oj ij viuh vkLFkk cuk, j[kuk pkgrk gSA 1+1 = 2 vFkok (d) egknsoh oekZ e/kqj&e/kqj esjs nhid ty ½+½ = 1 ([k) nhid Kku dk izrhd gS vkSj pw¡fd Kku dh dksbZ lhek ugha gksrh] og vuar gksrk gS] blfy, og fujarj tyrs gq, Kku dk vlhe lkxj ns ldrk gSA 1 (x) izfrfnu&izfriy ty&tydj fiz;re dk iFk vkyksfdr djus dk vkxzg fd;k gSA vius izk.k :ih nhi ds lkSjHk dks /kwi ds leku foLr`r :i ls QSykus rFkk ekse dh rjg d#.kk ls fi?kyus dk vkxzg fd;k gSA (dksbZ nks fcUnq) 1+1 = 2 (?k) ftl izdkj va/kdkj dks nwj djus ds fy, ,d eksecRrh vius thou dks lefiZr dj nsrh gS] mlh izdkj fiz;re dk iFk vkyksfdr djus ds fy, dof;=h vius 'kjhj dks ekse dh rjg xykus ls Hkh fopfyr u gksus dk ladYi ysrh gSA 1+1 = 2 12- (dksbZ rhu mRrj visf{kr gSAa ) (d) ([k) • ftl izdkj rqeus nq%'kklu n~okjk nzkis nh dk phj& gj.k djrs le; oL= c<+kdj nzkis nh dh ykt cpkbZA • fiz; HkDr izgykn dh fgj.;df'kiq ls j{kk ds fy, u`flag dk :i /kkj.k fd;kA • exjePN ls gkFkh dh j{kk dj mldh ihM+k nwj dh FkhA mlh izdkj esjh ihM+k gjksA • nwljksa ds izfr izes ] d:.kk o midkj ds Hkko j[kukA • fHkUurk o vyxko dh Hkkouk dks nwj dj ^olq/kSo dqVEq cde~* dh Hkkouk j[kukA • LokFkZ dks R;kx dj tufgr ds fy, vkRe&leiZ.k dk Hkko j[kukA 141 1+1+1 = 3 1+1+1 = 3 (x) >j&>j fxjus dh /ofu ekuks muds xhrksa dk Loj gSA ekuks Å¡pkbZ ls fxjrs >jus viuh /ofu ls ioZrksa dk gh xkSjo&xku dj jgs gSAa 3 (?k) fgeky; Hkkjr ds xkSjo vkSj LokfHkeku dk izrhd gSA fgeky; dh Å¡ph pksfV;ksa ds leku gh gekjs ns'k dh vku Hkh lalkj esa f'k[kj ij cuh jgsA blds fy, ohj lSfudksa us vius izk.k x¡ok fn, vkSj vkus okyh ih<+h ls Hkh mUgksua s ;gh vis{kk dh gSA 1+2 = 3 13- (d) xehZ bruh Hkh"k.k gS fd taxy ds i'kq&tSls lk¡i vkSj eksj] fgj.k vkSj ck?k] viuh LokHkkfod 'k=qrk dks Hkwydj ,dlkFk ,slh txg ,df=r gksrs gS]a tgk¡ /kwi ls eqfDr fey ldsA blls taxy riksou ds leku izrhr gksrk gSA dfo us tsB ds eghus dh nksigjh ds ml le; dk fp=.k fd;k gS tc lwjt lh/kk flj ij vk tkrk gS vkSj isM+ dh Nk;k rd fn[kkbZ ugha nsrhA dfo dYiuk djrk gS fd Nk;k Hkh ekuks /kwi ls cpus ds fy,] l?ku ouks]a ?kjksa vFkok Hkouksa esa tk fNih gksA (d) • • • • 1½+1½ = 3 ;s gesa gekjs iwot Z ksa dh dqckZfu;ksa dh ;kn fnykrh gSAa fczfV'k ljdkj ds vR;kpkjksa dk Lej.k djkdj vktknh ds egRo dks le>krh gSAa ns'k dh /kjksgj dh j{kk ij cy nsrh gSAa gesa gekjh xyfr;ksa dks nksgjkus ls jksdrh gSAa (dksbZ nks fcUnq) 1+1 = 2 14- (fdUgha rhu iz'uksa ds mÙkj visf{kr gSaA) (d) • [;wfØu us tyrh flxjsV ls dqRrs dh ukd tyk nh gks vkSj dqRrs us xqLls esa vkdj mls dkV Mkyk] fu%langs [;wfØu 'kjkjrh gSA dksb&Z u&dksbZ 'kjkjr djrk jgrk gSA • [;wfØu ds gkFk esa dhy xM+ tkus ls jDr cgus yxk gksxk ijarq gtkZuk ikus ds ykyp esa mls dqRrs ds eRFks e<+ fn;k gksA ([k) c<+rh vkcknh ds dkj.k leqnz dk fleVuk vkSj ubZ cfLr;ksa dk fuekZ.k gksukA dbZ lkyksa ls fcYMj leqnz dks ihNs /kdsydj mldh tehu gfFk;k jgs FksA leqnz fleVrk tk jgk FkkA 142 3 rwQku ds :i esa tgktksa dks u"V&Hkz"V djds viuk xqLlk fudkykA mlus tgktksa dks cPpksa dh xsna dh rjg mBkdj rhu fn'kkvksa esa Qsd a fn;kA 3 (x) vkt dk ;qx izfrLin~/kkZ dk ;qx gSA tkikuh vesfjdk ls izfrLin~/kkZ djus yxsA ,d eghus esa gksus okyk dke ,d fnu esa iwjk djus dh dksf'k'k djrs gSAa blls muds fnekx esa LihM dk batu yx tkrk gS vkSj og gtkj xquk vf/kd j¶rkj ls nkSM+us yxrk gSA 3 (?k) othj vyh cgqr fgEerh] fnysj vkSj cgknqj O;fDr FkkA mlds lkgl ds dkjukes yksxksa dh tqcku ij FksA mlus dEiuh ds odhy dks mlds ?kj tkdj ekj Mkyk FkkA mlus vius izk.kksa dh ijokg fd, fcuk 'k=q ds [kses esa tkdj dkjrwl gkfly fd,A 3 15- (d) iqfyl us MaMs pykus 'kq: dj fn,] ftlls dbZ yksx ?kk;y gks x,] lkjh HkhM+ frrj&fcrj gks xbZA fL=;ksa vkSj yksxksa dks idM+dj ykWdvi esa can dj fn;k x;kA dqy feykdj 105 fL=;k¡ idM+h xbZAa vkxs pydj ;g tqyl w VwV x;kA 3 ([k) ,d le; Fkk tc lai.w kZ lalkj ,d ifjokj dh rjg fey&tqydj jgrk Fkk] ijarq vkt c<+rh vkcknh vkSj fleVrh /kjrh ds dkj.k thou [kqys] cM+s nkykuksa ds LFkku ij NksVs&NksVs fMCcksa tSls ?kjksa esa fleVus yxk gSA 2 16- (d] [k] esa ls fdlh ,d iz'u dk mÙkj visf{kr gS) ([k) • o"kksZa igys tc ;g xk¡o iwjh rjg clk Hkh ugha Fkk rc dgha ls ,d lar vkdj ;gk¡ >ksia M+h cukdj jgus yxsA os lqcg&'kke Bkdqjth dh iwtk djrs Fks] yksxksa ls ek¡xdj [kk ysrs Fks rFkk yksxksa esa iwtk&ikB dh Hkkouk tkx`r djrs FksA yksxksa us pank bdV~Bk djds ;gk¡ Bkdqjth dk ,d NksVk&lk eafnj cuok fn;k FkkA dkykUrj esa xk¡o dh vkcknh c<+h vkSj eafnj dk Hkh foLrkj gksrk pyk x;kA xk¡o ds yksx izR;sd 'kqHk dk;Z dh 'kq:vkr Bkdqjth ls gh djrs FksA ([k) • I;kj ls ,d&,d cknke dh fxjh dks Nhy dj rksrkssa dks f[kykuk muds /kS;Z dks izdV djrk gSA ,d gh feuV esa Nk=ksa ij xqLlk cjlkus okys izhrepan dh ;g fo'ks"krk vpafHkr djrh gSA 143 • tks izhrepan cM+h dfBukbZ ls Nk=ksa ds fy, iz'kalk dk ,d 'kCn Hkh vius eq¡g ls fudkyrs gq, drjkrs Fks] os gh rksrksa ds lkFk cSBdj ehBh&ehBh ckrsa djrs FksA • izhrepan dk cPpksa ij vR;f/kd Øks/k djuk Hkh muds eu ds Hkhrj fNis muds Lusg dks n'kkZrk gS]tks Lusg gesa rksrksa ds izfr muds O;ogkj ls fn[kkbZnrs k gSA • mlh O;fDr dks vuq'kkflr djus dh bPNk gksrh gS ftlds izfr izse gksrk gSA rksrksa dks fnu esa dbZ ckj I;kj ls f[kykuk blh vuq'kkflr izes dk n~;ksrd gSA 4 17- (d) (dksbZ rhu mRrj visf{kr gSaA) xk¡o ds yksx /kkfeZd izo`fÙk ds FksA mUgsa Bkdqjckjh ij vVwV fo'okl FkkA mudk ekuuk Fkk fd muds thou esa tks dqN Hkh 'kqHk gksrk gS og Bkdqjckjh dk gh izrki gSA 2 ([k) jkenqykjh dh ekj ls Vksih@b¶+ Q+u fopfyr u gksrs gq, viuh ckr ij vfMx jgkA mlds eu esa Øks/k vk;k fd ;fn og NksVk u gksrk rks mls dksbZ bruk u ekjrk vkSj eqUuh ckcw ;fn mlls NksVs gksrs rks og mUgsa le> ysrkA 2 (iz'u esa xyrh ls ^Vksih* dh txg ^b¶+ Q+ u* Ni x;k gSA dksbZ Hkh uke fn, tkus ij vad fn, tk,¡A) (x) ys[kd lksprk Fkk fd ;fn og nl loky jkst djds viuk dke iwjk ugha dj ldrk rks ianzg loky jkst dj fy;k djsxk] fdUrq tc NqVf~ V;k¡ iwjh rjg ls lekIr gksus yxrha rks og vksek tSls cgknqjksa dh Hkk¡fr lkspus yxrk fd ekLVjksa dh ekj [kkuk nks lkS loky djus ls vf/kd lLrk lkSnk gSA 2 (?k) ifjokj ds vU; lnL; mls cgqr Mk¡Vrs&QVdkjrs FksA ?kj esa dsoy nknh gh Fkha tks mldk fny ugha nq[kkrh FkhaA os mls lksrs le; dgkfu;k¡ lqukrh FkhaA mldh gj leL;k dk lek/kku izes iwod Z djrh FkhaA 2 144 MATHEMATICS Time allowed : 3 hours Maximum Marks : 100 GENERAL INSTRUCTIONS : 1. All questions are compulsory 2. The question paper consists of 30 questions divided into four sections - A, B, C and D. Section A comprises of ten questions of 1 mark each, Section B comprises of five questions of 2 marks each, Section C comprises of ten questions of 3 marks each and Section D comprises of five questions of 6 marks each. 3. All questions in Section A are to be answered in one word, one sentence or as per the exact requirement of the question. 3. There is no overall choice. However, an internal choice has been provided in one question of 2 marks each, three questions of 3 marks each and two questions of 6 marks each. You have to attempt only one of the alternatives in all such questions. 4. In question on construction, the drawings should be neat and exactly as per the given measurements. 5. Use of calculators is not permitted. QUESTION PAPER CODE 30/1/1 SECTION - A Question numbers 1 to 10 carry 1 mark each. 1. The decimal expansion of the rational number 43 , will terminate after how 2 4 .5 3 many places of decimals? 2. F or what value of k, (– 4) is a zero of the polynomial x2 – x – (2k + 2) ? 145 3. For what value of p, are 2p – 1, 7 and 3p three consecutive terms of an A.P. ? 4. In Fig. 1, CP and CQ are tangents to a circle with centre O. ARB is another tangent touching the circle at R. If CP = 11 cm, and BC = 7 cm, then find the. length of BR. 5. In Fig. 2, ∠ M = ∠ N = 46°. Express x in terms of a, b and c where a, b and c are lengths of LM, MN and NK respectively. 6. 1 If sin θ = , then find the value of (2 cot 2 θ + 2). 3 7. Find the value of a so that the point (3, a) lies on the line represented by 2x –3y = 5. 8. A cylinder and a cone are of same base radius and of same height. Find the ratio of the volume of cylinder to that of the cone. 9. Find the distance between the points and 146 10. Write the median class of the following distribution: Classes Frequency 0-10 4 10-20 4 20-30 8 30-40 10 40-50 12 50-60 8 60-70 4 Section B Question Number 11 to 15 carry 2 marks each. 11. If the polynomial 6x4 + 8x3 + 17x2 + 21x + 7 is divided by another polynomial 3x2 + 4x + 1, the remainder comes out to be (ax + b), find a and b. 12. Find the value(s) of k for which the pair of linear equations kx + 3y = k – 2 and 12x + ky = k has no solution. 13. If Sn, the sum of first n terms of an A.P. is given by Sn = 3n2 – 4n, then find its nth term. 14. Two tangents PA and PB are drawn to a circle with centre O from an extemal point P. Prove that ∠APB = 2 ∠OAB. Or 147 Prove that the parallelogram circumscribing a circle is a rhombus. 15. sin 3θ + cos 3θ + sin θ cos θ Simplify : sin θ + cos θ Section C Question Number 16 to 25 carry 3 marks each. 16. Prove that 5 is an irrational number. 17. Solve the following pair of equations: 18. The sum of 4th and 8th terms of an A.P. is 24 and sum of 6th and 10th terms is 44. Find A.P. 19. Construct a ∆ ABC in which BC = 6.5 cm, AB = 4.5 cm and ∠ABC = 60°. Construct a triangle similar to this triangle whose sides are 3 of the corresponding 4 sides of the triangle ABC. 20. In Fig. 4, ∆ ABC is right angled at C and DE ⊥ AB. Prove that ∆ ABC ~ ∆ ADE and hence find the lengths of AE and DE. 148 Or In Fig. 5, DEFG is a square and ∠BAC = 90°. Show that DE2 = BD x EC. 21. Find the value of sin 30° geometrically. Or Without using trigonometrical tables, evaluate: 22. Find the point on y-axis which is equidistant from the points (5, –2) and (–3, 2). Or The line segment joining the points A (2,1) and B (5, -8) is trisected at the points P and Q such that P is nearer to A. If P also lies on the line given by 2x- y + k = 0, find the value of k. 23. If P (x, y) is any point on the line joining the points A (a, 0) and B (0, b), then show that 24. x y + = 1. a b In Fig. 6, PQ = 24 cm, PR = 7 cm and O is the centre of the circle. Find the area of shaded region (take π = 3.14) 149 25. The king, queen and jack of clubs are removed from a deck of 52 playing cards and the remaining cards are shuffled. A card is drawn from the remaining cards. Find the probability of getting a card of (i) heart (ii) queen (iii) clubs. Section D Question Number 26 to 30 carry 6 marks each. 26. The sum of the squares of two consecutive odd numbers is 394. Find the numbers. Or Places A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at different speeds; they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What are the speeds of the two cars? 27. Prove that, if a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. Using the above result, do the following: In Fig. 7, DE | | BC and BD = CE. Prove that ∆ ABC is an isosceles triangle. 28. A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of 30°, which is approaching the foot of the tower with a uniform speed. Six seconds later the angle of depression of the car is found to be 60°. Find the time taken by the car to reach the foot of the tower from this point. 29. From a solid cylinder whose height is 8 cm and radius 6 cm, a conical cavity of height 8 cm and of base radius 6 cm, is hollowed out. Find the volume of the remaining solid correct to two places of decimals. Also find the total surface area of the remaining solid. (take π = 3.1416) 150 Or In Fig 8, ABC is a right triangle right angled at A. Find the area of shaded region if AB = 6 cm, BC = 10 cm and O is the centre of the incircle of ∆ ABC. (take π = 3.14) 30. The following table gives the daily income of 50 workers of a factory : Daily income (in Rs.) 100-120 Number of workers 12 120-140 140-160 160-180 180-200 14 8 6 10 Find the Mean, Mode and Median of the above data. QUESTION PAPER CODE 30/1 SECTION - A Questions number 1 to 10 carry 1 mark each. 1. Find the [HCF x LCM] for the numbers 100 and 190. 2. If 1 is a zero of the polynomial p(x) = ax2 - 3 (a – 1) x - 1, then find the value of a. 3. In ∆ LMN, ∠ L = 50° and ∠ N = 60°. If ∆ LMN ~ ∆ PQR, then find ∠Q. 4. If sec2 θ (1 + sin θ) (1 – sin θ) = k, then find the value of k. 5. If the diameter of a semicircular protractor is 14 em, then find its perimeter. 6. Find the number of solutions of the following pair of linear equations: x + 2y – 8 = 0 2x + 4y = 16 151 7. Find the discriminant of the quadratic equation 3 3 x 2 + 10 x + 3 = 0. 4 , a, 2 are three consecutive terms of an A.P., then find the value of a. 5 8. If 9. In Figure 1, ∆ ABC is circumscribing a circle. Find the length of BC. 10. Two coins are tossed simultaneously. Find the probability of getting exactly one head. SECTION B Questions number 11 to 15 carry 2 marks each. 11. Find all the zeroes of the polynomial x3 + 3x2 – 2x – 6, if two of its zeroes are – 2 and 2 . 12. Which term of the A.P. 3, 15, 27, 39, ... will be 120 more than its 21st term? 13. In Figure 2, ∆ ABD is a right triangle, right-angled at A and AC ⊥ BD. Prove that AB2 = BC . BD. 152 14. If cot 8 = 15 , then evaluate 8 OR Find the value of tan 60°, geometrically. 15. If the points A (4, 3) and B (x, 5) are on the circle with the centre O (2, 3), find the value of x. SECTION C Questions number 16 to 25 carry 3 marks each. 16. Prove that 3 + 2 is an irrational number. 17. Solve for x and y : ax by − =a+b b a ax – by = 2ab OR The sum of two numbers is 8. Determine the numbers if the sum of their reciprocals is 8 . 15 18. The sum of first six terms of an arithmetic progression is 42. The ratio of its 10th term to its 30th term is 1 : 3. Calculate the first and the thirteenth terms of the A.P. 19. Evaluate: 2 2 5 cosec 2 58o − cot 58o tan 32o − tan 13o tan 37 o tan 45o tan 53o tan 77 o 3 3 3 20. Draw a right triangle in which sides (other than hypotenuse) are of lengths 8 cm and 6 cm. Then construct another triangle whose sides are sides of the first triangle. 153 3 times the corresponding 4 21. In Figure 3, AD ⊥ BC and BD = 2 2 1 CD. Prove that 3 2 2 CA = 2 AB + BC . OR In Figure 4, M is mid-point of side CD of a parallelogram ABCD. The line BM is drawn intersecting AC at L and AD produced at E. Prove that EL = 2 BL. 22. Find the ratio in which the point (2, y) divides the line segment joining the points A (–2, 2) and B (3, 7). Also find the value of y. 23. Find the area of the quadrilateral ABCD whose vertices are A (– 4, – 2), B (– 3, – 5), C (3, – 2) and D (2, 3). 24. The area of an equilateral triangle is 49 3 cm2. Taking each angular point as centre, circles are drawn with radius equal to half the length of the side of the triangle. Find the area of triangle not included in the circles. [Take 3 = 1.73] 154 OR Figure 5 shows a decorative block which is made of two solids - a cube and a hemisphere. The base of the block is a cube with edge 5 cm and the hemisphere, fixed on the top, has a diameter of 4.2 cm. Find the total surface area of the block. [Take π = 25. 22 ] 7 Two dice are thrown simultaneously. What is the probability that (i) 5 will not come up on either of them? (ii) 5 will come up on at least one? (iii) 5 will come up at both dice? SECTION D Questions number 26 to 30 carry 6 marks each. 26. Solve the following equation for x : 9x2 – 9 (a + b) x + (2a2 + 5ab + 2b2) = 0 OR If (–5) is a root of the quadratic equation 2x2 + px – 15 = 0 and the quadratic equation p (x2 + x) + k = 0 has equal roots, then find the values of p and k. 27. Prove that the lengths of the tangents drawn from an external point to a circle are equal. Using the above theorem prove that: If quadrilateral ABCD is circumscribing a circle, then AB + CD = AD + BC. 155 28. An aeroplane when flying at a height, of 3125 m from the ground passes vertically below another plane at an instant when the angles of elevation of the two planes o o from the same point on the ground are 30 and 60 respectively. Find the distance between the two planes at that instant. 29. A juice seller serves his customers using a glass as shown in Figure 6. The inner diameter of the cylindrical glass is 5 cm, but the bottom of the glass has a hemispherical portion raised which reduces the capacity of the glass. If the height of the glass is 10cm, find the apparent capacity of the glass and its actual capacity. (Use π = 3.14) OR A cylindrical vessel with internal diameter 10 cm and height 10.5 cm is full of water. A solid cone of base diameter 7 cm and height 6 cm is completely immersed in water. Find the volume of (i) water displaced out of the cylindrical vessel. (ii) water left in the cylindrical vessel. [Take π = 30. 22 ] 7 During the medical check-up of 35 students of a class their weights were recorded as follows: Weight (in kg) Number of students 38 - 40 3 40 - 42 2 42 - 44 4 156 44 - 46 5 46 - 48 14 48 - 50 4 50 - 52 3 Draw a less than type and a more than type ogive from the given data. Hence obtain the median weight from the graph. 157 Strictly Confidential : (For Internal and Restricted Use Only) Secondary School Examination March — 2009 Marking Scheme ---- Mathematics General Instructions 1. The Marking Scheme provides general guidelines to reduce subjectivity and maintain uniformity among large number of examiners involved in the marking. The answers given in the marking scheme are the best suggested answers. 2. Marking is to be done as per the instructions provided in the marking scheme. (It should not be done according to one’s own interpretation or any other consideration.)Marking Scheme should be strictly adhered to and religiously followed. 3. Alternative methods are accepted. Proportional marks are to be awarded. 4. Some of the questions may relate to higher order thinking ability. These questions will be indicated to you separately by a star mark. These questions are to be evaluated carefully and the students’ understanding / analytical ability may be judged. 5. The Head-Examiners have to go through the first five answer-scripts evaluated by each evaluator to ensure that the evaluation has been done as per instructions given in the marking scheme. The remaining answer scripts meant for evaluation shall be given only after ensuring that there is no significant variation in the marking of individual evaluators. 6. If a question is attempted twice and the candidate has not crossed any answer, only first attempt is to be evaluated. Write ‘EXTRA’ with second attempt. 7. A full scale of marks 0 to 80 has to be used. Please do not hesitate to award full marks if the answer deserves it. 158 QUESTION PAPER CODE 30/1/1 EXPECTED ANSWERS/VALUE POINTS SECTION - A 1. 4 2. K = 9 4. 4 cm 5. 7. a= 10. 30 - 40 1 3 3.p=3 ac b+c 1 × 10 6. 18 8. 3 : 1 9.2 SECTION - B 11. Dividing 6x 4 + 8x 3 + 17 x 2 + 21x + 7 by 3x 2 + 4 x + 1 ( ) we get quotient as 2 x 2 + 5 and remainder as x + 2 Therefore      x + 2 = ax + b ⇒ a = 1, b = 2 12. 1m ½+½m For the pair of linear equations to have no solution a1 b c = 1 ≠ 1 a2 b2 c2 ∴ ½m k 3 k−2 = ≠ 12 k k (i) (ii) ½m (iii) Getting k = 6, – 6 13.      s n = 3n 2 − 4n s1 = a1 = 3 − 4 = − 1 s 2 = a1 + a 2 = 12 − 8 = 4 ⇒ a 2 = 5 ½+½ m      159 ½m 14. 2 (1 + sin θ )(1 − sin θ ) Given expression = (1 + cos θ ) 2 (1 − cos θ ) ( 8) = cot 2 θ = 15 2 = = 1 − sin 2 θ cos 2 θ = 1 − cos 2 θ sin 2 θ 225 64 1m 1m Or Let ABC be an equilateral triangle of side ‘a’ and AD ⊥ BC ⇒ BD = a2 3a a = and AD = a 2 − 4 2 2 ° ∴ tan B = tan 60 = 15. AD BD = 2 2 2 a 2= 3 1m 2 1 m 2 For writing or using OA = OB ⇒ ( 4 − 2 ) + ( 3 − 3) = ( x − 2 ) + ( 5 − 3 ) 3a 2 1 1 + = 1m 2 2 1m 4 = ( x − 2) + 4 ⇒ ( x − 2) = 0 2 2 1 m 2 ⇒ x−2=0 ⇒ x = 2 SECTION-C 16. Let 3 + 2 be a rational number = a ∴ 2 = ( a − 3) Since (a – 3) is rational and 1 m 2 1m 2 is irrational ⇒ a contradiction 1m Hence 3 + 2 is not a rational number 1 m 2 So, it is an irrational number 170 17. Getting the equations a 2 x − b 2 y = ab ( a + b ) a 2 x − aby = 2a 2b 1m − __ + _____ − ______ ( ab − b ) y 2 = ab ( b − a ) or b ( a − b ) y = ab ( b − a ) ⇒ y = −a 1m Substituting to get , x = b 1m Or Let the numbers be x, y, ∴ x + y = 8 and 1 1 8 + = x y 15 y =8− x ⇒ ⇒    1 1 8 + = x 8 − x 15 ½+½ 1m 1 m 2 8 8 = ⇒ x 2 − 8 x + 15 = 0 2 8 x − x 15 1 m 2 ∴ ( x − 5 )( x − 3) = 0 ⇒ x = 3, x = 5 When x = 3, y = 5 and when x = 5, y = 3 ∴ Two numbers are 3 and 5 1m 171 S6 = 42 ⇒ 3 ( 2a + 5d ) = 42 ⇒ 2 a + 5d = 14 18. a10 1 a + 9d 1 2a + 18d 1 14 − 5d + 18d 1 = ⇒ = or = ⇒ = a30 3 a + 29d 3 2a + 58d 3 14 − 5d + 58d 3 ⇒ 1 m 2 1m 14 + 13d 1 = ⇒ 14 + 53d = 42 + 39 d ⇒ 14d = 28 14 + 53d 3 ⇒d =2 1 m 2 Hence a = 2 1 m 2 1 m 2 a13 = 2 + 12 ( 2 ) = 2 + 24 = 26 For tan 32° = cot 58° , tan 53° = cot 37° , tan 77° = cot13° 19. 1 1 m 2 ∴Given expression 20. = 2 2 5 cos ec 2 58° − cot 2 58 − tan13° tan 37°. (1) .cot 37° cot13° 3 3 3 = 2 5 2 5 3 cos ec 2 58 − cot 2 58° ) − = (1) − = − = −1 ( 3 3 3 3 3 Correctly drawing a right triangle with sides 8cm & 6cm Correctly constructing similar triangle with scale factor 172 3 4 1m 1 m 2 1m 2m In ∆ADC , 21. AC 2 = AD 2 + CD 2 = ( AB2 − BD 2 ) + CD 2 1 m 2 2 8 1  = AB 2 −  CD  + CD 2 = AB 2 + CD 2 .......(i ) 9 ï£3  1 4 3 BC = BD +CD = CD + CD = CD ⇒ CD = BC 3 3 4 8 9 1  Putting in (i) AC 2 = AB 2 +  BC 2  = AB 2 + BC 2 9 ï£ 16 2  1m 1 m 2 1m ⇒ 2 AC 2 = 2 AB 2 + BC 2 Or ∆DEM ≅ ∆CBM [∴∠E = ∠B, ∠D = ∠C , DM = CM ]   ∴ DE = BC ⇒ AE = 2 BC  [ AAA Similarity ] ∆ΑΕL ~ ∆CBL AE EL 2 BC EL = ⇒ = BC BL BC BL ⇒ EL = 2 BL ∴     1m 1m 1m 22. Let P divide AB in k:1 ∴2 = 3k − 2 k +1    1m 1 m 2 1 m 2 ⇒ 2k + 2 = 3k − 2 ⇒ k = 4 Hence P divides AB in 4:1 Also y = 4 ( 7 ) + 1( 2 ) 4 +1 = 30 =6 5 1m 173 23. Area ABCD = area ∆ ABC + area ∆ΑCD area ∆ABC = 1  −4 ( −5 + 2 ) − 3 ( −2 + 2 ) + 3 ( −2 + 5 )  2 = area ∆ACD = = ∴ Area ABCD = 1 21 [12 + 9] = sq.units 2 2 1m 1 m 2 1  −4 ( −2 − 3) + 3 ( 3 + 2 ) + 2 ( −2 + 2 )  2 1 m 2 1 35 [ 20 + 15] = sq.units 2 2 1 m 2 21 35 56 + = = 28sq.units 2 2 2 1 m 2 24. For correct figure Area of ∆ΑΒ C = 3a 2 = 49 3 ⇒ a = 14cm 4 ∴radius of each circle = 7cm 1 m 2 1 m 2 1 m 2 Shaded area = area of ∆ ABC – 3(area of sector APQ) 1 m 2 60   22 = 49 3 − 3  × 7 × 7 × ï£· 360  ï£ 7 1 m 2 = 49 (1.73) − 77 = 84.77 − 77 = 7.77cm2 174 1 m 2 Or S.A. of block = Total S.A. of cube – base area of hemisphere + curved S.A. of hemisphere 1m = 6(side)2 - π (2.1)2 + 2 π (2.1)2 1m = 6 (5) + 2 25. 22  21    7 ï£ 10  2 1 m 2 = 150 + 13.86 = 163.86cm 2 1 m 2 (i) Total number of possible outcomes = 36 1 m 2 P(5 will not come up on either of them) = 1- P( 5 will be on at least one) = 1 – P (E) =1 − 11 25 = 36 36 1m E = {( 5,1) , ( 5, 2 ) , ( 5,3) , ( 5, 4 ) , ( 5,5 ) , ( 5, 6 ) , (1,5 ) , ( 2,5 ) , ( 3,5 ) , ( 4,5 ) , ( 6,5 )} (ii) P (5 will come at least once) = 11 36 (iii) P (5 will come up at both dice) = 1 m 2 1 36 175 1m SECTION-D A = 9, B = -9(a + b), C = 2a2 +5ab+2b2 26. B 2 − 4 AC = 81( a + b ) − 4 ( 9 ) ( 2a 2 + 5ab + 2b 2 ) 2 = 81a 2 + 81b 2 + 162ab − 72a 2 − 72b 2 − 180ab = 9a 2 + 9b 2 − 18ab = 9 ( a − b ) ∴x = = 2 − B ± B 2 − 4 AC 9 ( a + b ) ± 3 ( a − b ) = 2A 18 2a + b a + 2b , 3 3 1m       2m 2m 1m (1 + 1) m Or ( −5) is a root of 2 x 2 + px − 15 = 0 ∴ 2 ( −5 ) + p ( −5 ) − 15 = 0 1m ⇒ 50 − 5 p − 15 = 0 1m ⇒ 5 p = 35 ⇒ p = 7 1m px 2 + px + k = 0 ⇒ 7 x 2 + 7 x + k = 0 1m 2 ∴ ( 7 2 ) − 4.7.k = 0 ⇒ 7 − 4k = 0 ⇒ k = 7 4 176 (1 + 1) m 27. 1 ×4 = 2m 2 2m Correct Given To prove, Construction and Figure Correct proof AP = AS BP = BQ CR = CQ DR = SD     tangents to a circle from an external point are equal   1m Adding AP + BP + CR + DR = AS + SD + BQ + CQ ⇒ AB + CD = AD + BC 28. Let CD = x , AB = y ∴ Correct figure 3125 1 = tan 30° = y 3 ⇒ y = 3125 3m x + 3125 = tan 60° = 3 y x + 3125 = 3 ⇒ x = 3 ( 3125 ) − 3125 3125 3 = 2 ( 3125 ) = 6250 m 177 1 m 2 1 m 2 1 m 2 1 m 2 1m 1m 1m 1m 1m 1m 29. radius (r) = 2.5cm, height (h) =10cm 1 m 2 Apparent capacity = π r 2 h = ( 3.14 )( 2.5 ) 10 1m = 196.25 cm3 1m 2 3 πr 3 1 m 2 2 Volume of hemisphere = 2 3 = × 3.14 × ( 2.5 ) 3 1m = 32.71 cm3 1m ∴Actual capacity = 196.25 − 32.71 = 163.54 cm3 1m Or (i) Volume of water displaced out = volume of solid cone 1 = π r 2h 3 1 m 2 1 22 7 7 = . . . .6 3 7 2 2 1m = 77 cm3 1m 1 m 2 (ii) Volume of cylinder = π r 2 h = 22 × ( 5 ) × ( 5 ) × (10.5 ) 7 = 825 cm3 1m 1m 178 ∴water left in the cylindrical vessel = 825 − 77 = 748 cm3 1m 30 Weights: Frequency: Weights: Frequency: more than38 m.t.40 m.t.42 m.t.44 m.t.46 m.t.48 m.t.50 35 less than40 3 32 30 26 21 7 3 1m l.t.42 l.t.44 l.t.46 l.t.48 l.t.50 l.t.52 5 9 14 28 32 35 1m For correct “more than ogive” 1 1 m 2 For correct “less than ogive” 1 1 m 2 For median (app.46) 1m Note: m.t. is “more than” and l.t. is “less than” 179 SCIENCE (Theory) Time allowed : 2½ hours Maximum Marks : 60 GENERAL INSTRUCTIONS : 1. The question paper comprises of two sections, A and B. You have to attempt both the sections. 2. All questions are compulsory. 3. There is no overall choice. However, internal choice has been provided in all the three questions of five marks category. Only one option in such questions is to be attempted. 4. All questions of Section A and all questions of Section B are to be attempted separately. 5. Questions number 1 to 6 in Section A and 17 to 19 in Section B are short answer type questions. These questions carry one mark each. 6. Questions number 7 to 10 in Section A and 20 to 24 in Section B are short answer type questions and carry two marks each. 7. Questions number 11 to 14 in Section A and 25 to 26 in Section B are also short answer type questions and carry three marks each. 8. Questions number 15 and 16 in Section A and question number 27 in Section B are long answer type questions and carry five marks each. QUESTION PAPER DELHI (CODE NO. 31/1/1) SECTION - A 1. 2. 3. 4. Balance the following chemical equation: Pb(NO3)2 (s) heat →  PbO(s)+NO2(g)+O2(g) 1 Fresh milk has a pH of 6. When it changes into curd (yogurt) will its pH value increase or decrease? Why? 1 Name a reducing agent that may be used to obtain manganese from manganese dioxide. 1 Why does a ray of light bend when it travels from one medium into another? 1 180 5. Draw the given diagram in your answer book and complete it for the path of ray of light beyond the lens. 1 6. Why does sky look blue on a clear day? 1 7. A compound which is prepared from gypsum has the property of hardening when mixed with a proper quantity of water. Identify the compound. Write the chemical equation for its preparation. For what purpose is it used in hospitals? 2 8. 9. 10. 11. 12. 13. (a) What is the colour of ferrous sulphate crystals? How does this colour change after heating? (b) Name the products formed on strongly heating ferrous sulphate crystals. What type of chemical reaction occurs in this change? 2 What is the minimum number of rays required for locating the image formed by a concave mirror for an object. Draw a ray diagram to show the formation of a virtual image by a concave mirror. 2 A piece of wire of resistance 20 Ω is drawn out so that its length is increased to twice its original length. Calculate the resistance of the wire in the new situation. 2 What is meant by ‘rusting’? With labelled diagrams describe an activity to find out the conditions under which iron rusts. 3 Give reasons for the following observations: (a) The element carbon forms a very large number of compounds. (b) Air holes of a gas burner have to be adjusted when the heated vessels get blackened by the flame. (c) Use of synthetic detergents causes pollution of water. What is hypermetropia? State the two causes of hypermetropia. With the help of ray diagrams, show: (i) the eye-defect hypermetropia (ii) correction of hypermetropia by using a lens. 14. 3 Two resistors, with resistances 5 Ω and 10 Ω respectively are to be connected to a battery of emf 6 V so as to obtain: 181 3 (i) minimum current flowing 15. (ii) maximum current flowing (a) How will you connect the resistances in each case? (b) Calculate the strength of the total current in the circuit in the two cases. (a) Which two criteria did Mendeleev use to classify the elements in his periodic table? (b) State Mendeleev’s periodic law. (c) Why could no fixed position be given to hydrogen in Mendeleev’s periodic table? (d) How and why does the atomic size vary as you go : (i) from left to right along a period? (ii) down a group? 3 5 OR 16. (a) Why did Mendeleev have gaps in his periodic table? (b) State any three limitations of Mendeleev’s classification. (c) How does electronic configurations of atoms change in a period with increase in atomic number? (a) What is a magnetic field? How can the direction of magnetic field lines at a place be determined? (b) State the rule for the direction of the magnetic field produced around a current carrying conductor. Draw a sketch of the pattern of field lines due to a current flowing through a straight conductor. 5 5 OR (a) What is a solenoid? Draw a sketch of the pattern of field lines of the magnetic field through and around a current carrying solenoid. (a) Consider a circular loop of wire lying in the plane of the table. Let the current pass through the loop clockwise. Apply the right hand rule to find out the direction of the magnetic field inside and outside the loop. 5 SECTION B 17. What are the two main components of our environment ? 1 18. What will happen to a plant if its xylem is removed ? 1 19. Name two tissues that provide control and coordination in multicellular animals. 1 182 20. What are natural resources ? State two factors that work against an equitable distribution of these resources. 2 21. What is water harvesting ? Mention any two water harvesting structures. 2 22. What are ‘nastic’ and ‘curvature’ movements ? Give one example of each. 2 23. What is biogas ? Why is biogas considered an ideal fuel for domestic use ? 2 24. (a) Distinguish between renewable and non-renewable sources of energy. (b) Choose the renewable sources of energy from the following list: Coal, biogas, sun, natural gas 25. Explain analogous organs and homologous organs. Identify the analogous and homologous organs amongst the following: Wings of an insect, wings of a bat, forelimbs of frog, forelimbs of a human. 26. 2 (a) 3 Explain the terms : (i) Implantation (ii) Placenta 27. (b) What is the average duration of human pregnancy ? (a) Draw a diagram of human alimentary canal and label on it : Oesophagus, Gallbladder, Liver and Pancreas. (b) Explain the statement, ‘Bile does not contain any enzyme but it is essential for digestion.’ 3 5 OR (a) Draw a diagram of excretory system in human beings and label on it : Aorta, Vena cava, Urinary bladder, Urethra. (b) List two vital functions of the kidney. 5 QUESTION PAPER DELHI (CODE NO. 31/1) SECTION - A 1. 2. 3. In electrolysis of water, why is the volume of gas collected over one electrode double that of gas collected over the other electrode ? 1 What effect does an increase in concentration of H+ (aq.) in a solution have on the pH of solution ? 1 What happens when a small piece of sodium is dropped into ethanol ? 1 183 4. 5. 6. 7. 8. Draw a schematic diagram of an electric circuit consisting of a battery of two cells each of 1.5 V, 5 Ω, 10 Ω and 15 Ω resistors and a plug key, all connected in series. 1 When is the force experienced by a current-carrying conductor placed in a magnetic field the largest ? 1 State the rule which gives the direction of magnetic field associated with a current carrying conductor. 1 (i) Name the products formed when sodium hydrogen carbonate is heated. (ii) Write the chemical equation for the reaction involved in the above. (i) What is observed when a solution of potassium iodide is added to a solution of lead nitrate taken in a test tube ? (ii) What type of reaction is this ? (iii) Write a balanced chemical equation to represent the above reaction. 2 2 9. What is an electric circuit ? Distinguish between an open and a closed circuit. 2 10. Calculate the resistance of an electric bulb which allows a 10 A current when connected to a 220 V power source. 2 11. 12. 13. 14. (a) What is meant by periodicity in properties of elements with reference to the periodic table ? (b) Why do all the elements of the same group have similar properties ? (c) How will the tendency to gain electrons change as we go from left to right across a period ? Why ? 3 (a) Distinguish between esterification and saponification reactions of organic compounds. (b) With a labelled diagram describe an activity to show the formation of an ester. 3 For which position of the object does a convex lens form a virtual and erect image ? Explain with the help of a ray diagram. 3 (a) Define the term ‘volt’. (b) State the relation between work, charge and potential difference for an electric circuit. Calculate the potential difference between the two terminals of a battery if 184 100 joules of work is required to transfer 20 coulombs of charge from one terminal of the battery to the other. 15. (a) (b) 3 Distinguish between ionic and covalent compounds under the following properties: (i) Strength of forces between constituent elements’ (ii) Solubility of compounds in water (iii) Electrical conduction in substances Explain how the following metals are obtained from their compounds by the reduction process: (i) Metal M which is in the middle of the reactivity series. (ii) Metal N which is high up in the reactivity series. Give one example of each type. 5 OR 16. (a) Distinguish between ‘roasting’ and ‘calcination’. Which of these two is used for sulphide ores and why ? (b) Write a chemical equation to illustrate the use of aluminium for joining cracked railway lines. (c) Name the anode, the cathode and the electrolyte used in the electrolytic refining of impure copper. (a) (b) 5 What is myopia? State the two causes of myopia. With the help of labelled ray diagrams show (i) the eye defect myopia. (ii) correction of myopia using a lens. Why is the normal eye unable to focus on an object placed within 10 cm from the eye ? 5 OR (a) What is dispersion of white light ? What is the cause of such dispersion ? Draw a diagram to show the dispersion of white light by a glass prism. (b) A glass prism is able to produce a spectrum when white light passes through it but a glass slab does not produce any spectrum. Explain why it is so. 185 5 SECTION B 17. Which compounds are responsible for the depletion of ozone layer ? 1 18. Why is DNA copying an essential part of the process of reproduction ? 1 19. Where does digestion of fat take place in our body ? 1 20. How is charcoal obtained from wood ? Why is charcoal considered a better fuel than wood ? 2 21. Describe how hydro-energy can be converted into electrical energy. Write any two limitations of hydro-energy. 2 22. What is ‘Chipko Movement’ ? Why should we conserve forests ? 2 23. Suggest any four changes that you would like to be incorporated in the life-style of students of your age to move towards a sustainable use of available resources. 2 Describe the role of the following in human beings: 2 24. 25. 26. 27. (i) Seminal vesicles (ii) Prostate gland What is ‘phototropism’? How does it occur in plants ? Describe an activity to demonstrate phototropism. 3 Explain how the sex of the child is determined at the time of conception in human beings. 3 (a) Draw a sectional view of the human heart and label on it : Aorta, Pulmonary arteries, Vena cava, Left ventricle. (b) Why is double circulation of blood necessary in human beings ? 5 OR (a) Draw the structure of a nephron and label the following on it : Glomerulus, Bowman’s capsule, Renal artery, Collecting duct. (b) What happens to glucose that enters the nephron along with filtrate ? 186 5 5. When the current (flowing through the conductor) is placed at right angles to the direction of the magnetic field. 6. 1 1 1 1 Right Hand Thumb Rule : If you are holding the current carrying conductor in your right hand with the thumb pointing in the direction of current, then the fingers encircling the conductor will give the direction of magnetic field lines. 7. (i) Sodium carbonate, water and carbon-di-oxide (½ mark to be given for 2 correct products) 8. 1 (ii) 2 NaHCO3 heat Na2 CO3 + H2O + CO2 1 (i) ½ Yellow precipitate (ii) Double displacement reaction / Precipitation reaction. ½ (iii) Pb (NO3)2 + KI 1 PbI2 + 2 KNO3 2 2 (½ mark for correct equation, ½ for balancing) 9. (a) A continuous and closed path of electric current. 1 (b) (i) Closed circuit : In which all the components of the circuit are joined to one another. ½ (ii) Open circuit : In which the flow of current breaks at some point such that no current flows through the components of the circuit. ½ OR (i) Circuit with key closed. ½ (ii) Circuit with key open. 10. ½ R= V I R = 220 V 10 A ½ ½ R = 22 (*If a candidate directly substitutes the values and gets the correct answer with 1 unit, full marks to be awarded.) 11. 2 (a) The repetition of the properties of elements after regular intervals. 1 (b) Members of a group have same number of valence electrons. / Similar electronic configuration. 1 197 2 (c) (i) (ii) Increases ½ Because the effective nuclear charge acting on the valence electrons increases. 12. (a) (i) ½ 3 Esterification : The reaction in which a carboxylic acid reacts with an alcohol to form an ester. (ii) Saponification. The reaction in which an ester reacts in the presence of an acid or a base to give back the alcohol and carboxylic acid. (b) 13. 1 ½ Any two labellings ½ Description : Ethyl alcohol and acetic acid are mixed in a test tube and a few drops of conc. H2 SO4 are added. The mixture is warmed in a water bath. (A pleasant / sweet / fruity smell is observed.) 1 (a) Position of object : Between the principal focus and optical centre of the lens. 1 (b) 198 3 Important features for evaluation of the diagram : 14. (i) Drawing of correct lens and principal axis ½ (ii) Correct positioning of the object ½ (iii) Correct marking of rays ½ (iv) Correct position of the image ½ (a) One volt is the potential difference between two points in a current carrying conductor when 1 joule of work is done to move a charge of 1 coulomb from one point to another. 1 (b) Work = charge x potential difference (OR W = Q × V 1 3 V= W Q V= 100 J 20 C ½ V = 5 volt 15. ½ (a) (i) (b) (i) 3 3x1 Property Ionic Compounds Covalent Compounds 1. Strength of forces strong weak 2. Solubility generally soluble in water generally insoluble in water / soluble in organic solvents 3. Electrical Conductivity conduct electricity do not conduct electricity By reduction of its oxide with a suitable reducing agent (C/CO / Al) eg. : Fe2 O3 + 3 CO ½ 2 Fe + 3 CO2 (OR any other suitable example in the form of an expression or equation) ½ (ii) By electrolytic reduction (of its fused or molten salt) eg. : 2 NaCl electric (Molten) current ½ 2 Na + Cl2 (OR any other suitable example) ½ OR (a) Roasting is heating the ore strongly in the presence (Excess) of air, while calcination is heating the ore strongly in the limited supply of air. 199 1 5 Sulphide ores are roasted to oxides. ½ It is easier to obtain a metal from its oxide as compared to its sulphide. 1 (b) Fe2 O3 + 2Al 2Fe + Al2 O3 1 (c) Anode : Impure copper Cathode : Strip of pure copper Electrolyte : Acidified copper sulphate solution 16. 3x½ 5 (a) Myopia : A defect of eye in which a person can see nearby objects clearly but cannot see the distant objects clearly. 1 Two causes : (1) Elongation of the eyeball ½ (2) Decrease in the focal length of the eye lens. ½ (i) (ii) (b) The near point of a normal eye is 25 cm. If the object is placed close (i.e. at a distance less than 25 cm) to the eyes, the eye fails to adjust its focal length. 1 5 OR (a) Dispersion : The splitting of white light into its constituent colours. Cause : Different speed of constituent colours of light in the prism material. 1 1 200 Wh ite spec light trum White light beam (b) Glass slab acts as a combination of two identical prisms. 1 1 The first prism disperses the white light into seven colours and the second prism recombines these to form white light. OR the following diagram. (If only correct diagrammatic representation is given and direction of rays of light missing then ½ mark to be deducted.) 1 5 SECTION - B 17. Chlorofluorocarbons. / CFCs. 1 1 18. To make the continuity of life of a species./ For passing same genetic information from generation to generation. / To maintain genetic make up of a species. 1 1 19. In small intestine. / In duodenum. 1 1 20. When wood is burnt in a limited supply of oxygen, water and volatile materials present in it get removed and charcoal is left behind as residue. / By destructive (Dry) distillation of wood. 201 1 Advantages of charcoal as a fuel : – Charcoal burns without flames. – It is comparatively smokeless. – It has high heat generation efficiency. / High calorific value. 21. (Any two) ½+½ The water from the top of the dam is made to fall through the pipes over the turbine. ½ At the bottom of the dam, moving turbine rotates the electric generator to produce electricity. ½ 2 LIMITATIONS (i) Flowing water is not available at all the places. ½ (ii) The kinetic energy of flowing water can rotate a wheel or turn a turbine to produce electricity only when water is in plenty (quantity of water). 22. ½ 2 Chipko Movement is the tree hugging movement in which the villagers compel the axeman to stop tree felling by embracing and forming ring around the marked trees. / Hug the Tree Movement. 1 We should conserve forests because the destruction of forests : — affects availability of forest produce — affects quality of soil ½ — affects sources of water — destroys biodiversity ½ — leads to loss of ecological stability (Any two) 23. 2 – Use Bicycle in place of scooter for short distances. – Switch off the unnecessary lights. – Recycle the waste. – Use cloth bags in place of plastic bags. – Use stairs instead of lift wherever possible. – Wearing an extra sweater instead of using a heating device. OR Any other correct answer. (Any four) 202 4x½ 2 24. 25. Prostate and Seminal vesicles secrete fluid medium for easy movement of Sperms. This fluid also provides Nutrition. 1 The movement of plant or a part of plant in response to light is called phototropism. 1 1 2 When a growing plant receives light from one direction, a hormone called auxin is syntherised at the shoot tip which helps the cells to glow longer. As a result, the cells grow longer on the side of the shoot which is away from light. Thus the plant appears to bent towards light. 1 Take a straight potted plant, put it in a place where light is coming from one direction. Plant bends towards the source of light. 1 OR (Either the explanation or the Diagram) 26. 3 Male human beings have x y sex chromosomes and female human beings have xx sex chromosomes. 1 If a sperm carrying x chromosome fuses with the ovum, then the sex of the baby will be female. If a sperm carrying y chromosome fuses with the ovum, then the sex of the baby will be male. OR A child who inherits x chromosome from father will be a girl. A child who inherits ychromosome from father will be a boy. OR 203 Diagramatic explanation 1+1 27. Diagram with proper proportion 2 Four labellings 4x½ (b) To transport oxygen to each and every tissue and cell of the body along with circulation of the blood. Maximum amount of oxygen is supplied to the cells and tissues as oxygenated blood does not mix with the deoxygenated blood. 204 1 3 OR (a) Diagram with proper proportion 2 Four labellings 4x½ (b) Glucose is reabsorbed into the blood. 205 1 5 Test Booklet Code A PRACTICAL SKILLS IN SCIENCE TEST BOOKLET Time allowed : 1½ hours Maximum Marks : 20 GENERAL INSTRUCTIONS : 1. Attempt all questions. 2. There are 30 multiple choice questions in total. Only one of the options in every question is correct. 3. The question paper consists of two sections - Section A and Section B. Each of the 20 questions in Section A carries half mark and each of the 10 questions in Section B carries one mark. 4. 15 minutes additional time will be given to you to read the questions. 5. The Answer Sheet is inside this Test Booklet. When you are directed to open the Test Booklet, take out the Answer Sheet and fill in the particulars on SIDE-2 carefully with blue/black ball point pen only. In no case pencil is to be used. Read “General Instructions for Candidates” and “Example; How to write and darken circle on SIDE-2” as given on SIDE-l carefully. 6. Use Blue/Black Ball Point Pen only for writing particulars on this page/writing particulars and marking responses on SIDE-2 of the Answer Sheet. 7. On completion of the test, the candidate must hand over the Answer Sheet to the invigilator in the Room/Hall. The candidates are allowed to take away this Test Booklet with them. 8. The CODE for this Booklet is A. Make sure that the CODE printed on SIDE-2 of the Answer Sheet is the same as that on this booklet. In case of discrepancy, the candidate should immediately report the matter to the Invigilator for replacement of both the Test Booklet and the Answer Sheet. 9. The candidates should ensure that the Answer Sheet is not folded. Do not make any stray marks on the Answer Sheet. Do not write your Roll Number anywhere else except in the specified space in the Test Booklet/Answer Sheet. 10. Use of white fluid for correction is not permissible on the Answer Sheet. 206 QUESTION PAPER (CODE NO. HRL) SECTION - A 1. 2. A student added the following substances to water kept in four separate beakers. He stirred the mixture well and filtered each of them. He would obtain a solid residue on the filter paper in the case of : (1) Egg albumin (2) Common salt (3) Chalk powder (4) Alum In an experiment, carbon disulphide was added to a test tube containing a mixture of iron filings and sulphur powder as shown in the given diagrams. The correct observation is represented in diagram: (1) I 3. (2) II (3) III (4) IV The set up given below is used in the separation of camphor from a mixture of camphor and sand. The item missing in this set up is: (1) Thermometer (2) Cotton plug (3) Two holed cork (4) One holed cork 207 4. 5. 6. 7. Out of the following, the preferred experimental arrangement for determination of the melting point of ice, is the arrangement shown in figure: (1) (A) (2) (B) (3) (C) (4) (D) While performing an experiment on verifying the laws of reflection of sound, the ‘reflected sound’ can be detected better by keeping one ear: (1) near the end of the tube and keeping the other ear closed. (2) near the end of the tube and keeping the other ear open. (3) at about 5 cm from the end of the tube and keeping the other ear closed. (4) at about 5 cm from the end of the tube and keeping the other ear open. The least count of the measuring cylinder used and the volume of the solid taken in the ‘set up’ shown here are respectively: (1) 0.1 mL ana 1.8 mL (2) 0.1 mL and 2.0 mL (3) 0.2 mL and 2.2 mL (4) 0.2 mL and 2.4 mL A student uses a spring balance of least count 10 g wt and range 500 g wt He records the weight of a small iron cube in air, in tap water and in a concentrated solution of common salt in water. If his three readings taken in this order are W1 (= 50 g wt), W2 and W3, he is likely to observe that: 208 8. (1) W1 > W2 > W3 (2) W1 > W2 ~ W3 (3) W1 > W3 > W2 (4) W1 ~ W2 < W3 A student heats some amount of tap water in a calorimeter to a temperature of nearly 50°C above the room temperature. He then records the temperature of this water as it is cooling down, at regular intervals of 2 minutes each. He tabulates his observations as follows: Time (in minutes) → 0 2 4 6 8 10 Temperature (in °C) t1 t2 t3 t4 t5 t6 He is likely to observe (1) (t1 – t2) > (t3 – t4) > (t5 – t6) (2) (t1 – t2) = (t3 – t4) = (t5 – t6) (3) (t1 – t2) < (t3 – t4) < (t5 – t6) (4) (t1 – t2) < (t3 – t4) > (t5 – t6) → 9. In the diagrams of a moss and a fern given above, the spores in the moss and sori in the fern are present in their respective parts labelled as : (1) P (2) Q (3) R (4) S 209 10. 11. 12. The correct method of obtaining an onion peel is to : (1) take the thinnest bit after mashing an onion leaf. (2) make thin sections of a thick scale leaf using a blade. (3) use a forceps to pull out a thin transparent peel from concave surface of a scale leaf. (4) use a needle and forceps to remove a thin peel from convex surface of a scale leaf. In the figure of the earthworm given below, the horizontal lines throughout the body represent: (1) cells of the body. (2) cell walls separating the cells of the body. (3) vertically arranged muscles of the body. (4) septa separating segments of the body. 10 mL of HCl and 10 mL of NaOH solutions are contained in two separate beakers labelled I and II respectively. On adding zinc granules to both, it is observed that at room temperature: (1) gas is evolved vigorously in both. (2) gas is evolved vigorously in beaker I but not so in beaker II. (3) gas is evolved in beaker II but not in beaker I. (4) no gas is evolved in either of the two beakers. 210 13. 14. 15. On adding zinc granules to freshly prepared ferrous sulphate solution, a student observes that: (1) a dull brown coating is formed. (2) a black coating is formed. (3) a grayish coating is formed. (4) no coating is formed. On adding acetic acid to solid sodium hydrogen carbonate, a student observes the liberation of a : (1) greenish yellow gas with a pungent smell. (2) colourless and odourless gas. (3) yellow coloured, odourless gas. (4) colourless gas with smell of rotten eggs. In an experiment on tracing the path of a ray of light through a rectangular glass slab, four students A, B, C, D used the following values of angle of incidence and the distance between the feet of the two pins (fixed on the incident ray) : (A) (30°, 45°, 60°) and 1 cm (B) (30°, 45°, 60°) and 6 cm (C) (20°, 50°, 80°) and 10 cm (D) (20°, 50°, 80°) and 15 cm Out of these the best choice is that of student: 16. (1) A (2) B (3) C (4) D A student performs an experiment on studying the dependence of the current (I) flowing through a conductor on the potential difference (V) applied across it by setting up his circuit as shown. He records four values of ‘I’ by keeping the sliding contact J, in the positions K, L, M and N, one by one. The corresponding points on his V-I graph are labelled as P1, P2, P3 and P4. The point P3, would correspond to the case when the sliding contact, J, is in the position: 211 17. (1) K (2) L (3) M (4) N Two students set up their circuits for finding the equivalent resistance of two resistors connected in parallel in two different ways as. shown. The circuit(s) likely to be labelled as correct : 18. (1) are neither of the two circuits. (2) is only circuit I. (3) is only circuit II. (4) are both the circuits. The labelling for the slide of leaf peel showing stoma by the four students who made the diagram and tabulated the labels, is as follows: 212 Student I II III IV A Stoma Nucleus Epidermal cell Cell wall B Nucleus Stoma Epidermal cell Cell wall C Epidermal cell Stoma Nucleus Cell wall D Cell wall Epidermal cell Nucleus Stoma The student who made the correct labelling is : 19. 20. (1) Student A (2) Student B (3) Student C (4) Student D For the experiment, “Light is necessary for photosynthesis”, the potted plant is first kept in darkness for a day. This is to: (1) deactivate the chloroplasts. (2) destarch leaves. (3) activate chloroplasts. (4) prepare leaves for photosynthesis. Raisins swell up after being placed them in a beaker containing water for sometime because: (1) the concentration of water in the cell sap is higher than the water in the beaker. (2) the concentration of water in the cell sap is lower than the water in the beaker. (3) the concentration of water in the cell sap is the same as that of water in the beaker. (4) water inside the raisins passes out of them when placed in a beaker of water. SECTION - B 21. The extent of cooling caused by evaporation of water, alcohol and ether was studied using the following set ups of apparatus: 213 Out of the following, the correct observation and explanation is : 22. (1) In all the three sets equal decrease in temperature was observed indicating that all the three liquids are equally volatile. (2) Only set up I showed a decrease in temperature indicating only water is volatile. (3) Both set ups II and III showed an equal decrease in temperature suggesting both alcohol and ether have equal volatility. (4) The decrease in temperature was maximum in set up III (indicating that ether is the most volatile) and minimum in set up I (indicating water is least volatile). A string is stretched as shown and a ‘pulse’ is created along it. The stop watch is started, from its position A, when the pulse is in position X and is stopped, in its position B, when the ‘pulse’ has travelled back to its position ‘X’. The velocity of propagation of the pulse along the string is : (1) 4 cms–1 (2) 4.4 cms–1 (3) 8 cms–1 (4) 8.8 cms–1 214 23. 24. 25. In the diagrams drawn by four students who studied plasmolysis in the cells of onion peel, the correct drawing is represented in figure: (1) I (2) II (3) III (4) IV The part X in the following diagram of a tissue should be labelled as : (1) cell wall (2) cell membrane (3) cytoplasm (4) intercellular space On adding a few drops of universal indicator to three unknown colourless solutions (P), (Q) and (R) taken separately in three test tubes shown in the following diagrams, a student observed the changes in colour as green in (P), red in (Q) and violet in (R). The decreasing order of pH of the solutions taken is : (1) P>Q>R (2) R>P>Q (3) Q>P>R (4) R>Q>P 215 26. The figures given below show different parts of the experimental set up used for preparation and observation of the properties of sulphur dioxide gas. The “parts”, that need to be chosen, for the desired purpose, are the ones labelled as : 27. (1) VI, VII, VIII, IX, X, XI, XII (2) IV, V, VI, VII, VIII, XI, XII (3) I, III, IV, VI, VIII, IX, XI, (4) I, II, III, V, VII, IX, X A teacher gives a convex lens and a concave mirror of focal length of about 20 cm each to his student and asks him to find their focal lengths by obtaining the image of a distant object. The student uses a distant tree as the object and obtains its sharp image, one by one, on a screen. The distances d1 and d2 between the lens/mirror and the screen in the two cases and the nature of their respective sharp images are likely to be : (1) (20 cm, 40 cm) and (erect, erect) (2) (20 cm, 40 cm) and (inverted, erect) (3) (20 cm, 20 cm) and (inverted, inverted) (4) (20 cm, 20 cm) and (erect, inverted) 216 28. 29. 30 A student sets up an electric circuit shown here for finding the equivalent resistance of two resistors in series. In this circuit, the: (1) resistors have been connected correctly but the voltmeter has been wrongly connected. (2) resistors have been connected correctly but the ammeter has been wrongly connected. (3) resistors, as well as the voltmeter, have been wrongly connected. (4) resistors, as well as the ammeter, have been wrongly connected. In the following set up which shows that “Carbon-di-oxide is given out during respiration”, the KOH kept in the flask: (1) makes the air in the flask alkaline. (2) creates partial vacuum in the flask. (3) absorbs moisture present in the flask. (4) provides oxygen for respiration to the germinating seeds. Out of the given diagrams, the correctly labelled diagram showing budding in yeast is : 217 (1) I (2) II (3) III (4) IV 218 219 220 Key for Practical Skill 2009 (Main) for Booklet Code - A (Outside Regions) Q. No. Ans. No. 1 3 2 3 3 2 4 2 5 1 6 3 7 2 8 1 9 1 10 3 11 4 12 2 13 2 14 2 15 2 16 3 17 4 18 2 19 2 20 2 21 4 22 3 23 4 24 1 25 2 26 4 27 3 28 1 29 2 30 2 221 SOCIAL SCIENCE Time allowed : 3 hours Maximum Marks : 80 GENERAL INSTRUCTIONS : 1. There are 29 questions in all. All questions are compulsory. 2. Marks for each question are indicated against the question. 3. Questions from serial number 1 to 10 are 1 mark questions. Answers of these questions may be from one word to one sentence. 4. Questions from serial number 11 to 18 are 3 marks questions. Answer of these questions should not exceed 80 words each. 5. Questions from serial numbers 19 to 28 are 4 marks questions. Answer of these questions should not exceed 100 words each. 6. Question No. 29 is a map work question. Attach the map inside your answer book. QUESTION PAPER CODE 32/1/1 1. Give the meaning of liberalism. 1 Or Mention the main base of colonial economy of Vietnam. 1 2. Which are the two sources of fresh water in India? ½+½= 1 3. Name the two main ferrous minerals. ½+½= 1 4. Where is the largest solar plant located in India? 5. Mention the two major ethnic groups of Belgium. 6. How did Tommie Smith and John Carlos try to draw international attention to racial discrimination in the United States at the time of Olympics, held at Mexico City in 1968 ? 1 Why do some people, belonging to the same religion, often feel that they do not belong to the same community ? 1 7. 222 1 ½+½= 1 8. What is the main criterion for comparing the development of different countries? 1 9. Give the meaning of average income of a country. 1 10. What is meant by sustainability of development? 1 11. How did Romanticism seek to develop a particular form of nationalist sentiments during 18th century? Explain. 3x1 = 3 Or Why did French policy makers wanted to educate the people of Vietnam? Explain. 3x1 = 3 12. Describe any three features of Civil Disobedience Movement of 1930. 3x1 = 3 13. Study the given passage and answer the questions that follow: The Independence Day Pledge, 26 January 1930 ‘We believe that it is the inalienable right of the Indian people, as of any other people, to have freedom and to enjoy the fruits of their toil and have the necessities of life, so that they may have full opportunities of growth. We believe also that if any government deprives a people of these rights and oppresses them, the people have a further right to alter it or to abolish it. The British Government in India has not only deprived the Indian people of their freedom but has based itself on the exploitation of the masses, and has ruined India economically, politically, culturally and spiritually. We believe, therefore, that India must sever the British connection and attain Puma Swaraj or Complete Independence.’ (13.1) Why was it the inalienable right of the Indian people to have freedom? (13.2) How did British Govt. exploit the Indian masses? Explain. 1+2 = 3 Note:Below are given three groups -A, B and C for questions number 14 and 15. Select anyone group for answering these two questions. Group A 14. 15. What is Group 77 ? Why did Group 77 countries demand a New International. Economic Order ? Explain. 1+2 = 3 How did East India Company capture regular supply of cotton and silk goods from Indian weavers ? Explain. 3x1 = 3 223 Group B 14. 15. Explain with examples that an average worker in the mid nineteenth century was not a machine operator but the traditional crafts person and labourer. 3x1 = 3 Mention various measures which were taken to decongest London in the nineteenth and twentieth centuries. 3x1 = 3 Group C 14. Explain with examples the role of technology in helping to solve hardships of food availability throughout the world in late nineteenth century. 3x1 = 3 How did the development of cities influence the ecology and environment in late nineteenth century? Explain by giving an example of Calcutta (Kolkata). 3x1 = 3 16. Explain any three factors that affect the location of industries in a region. 3x1 = 3 17. Explain, how power is shared among different organs of government. 3x1 = 3 18. How did consumer movement arise in India? Explain. 3x1 = 3 19. “Print did not only stimulate the publications of conflicting opinions among different communities but also connected them in nineteenth century in India.” Support the statement with examples. 4x1 = 4 15. Or “Prem Chand’s novels are filled with all kinds of powerful characters drawn from all levels of society.” Support the statement by giving suitable examples. 4x1 = 4 20. Classify resources, on the basis of exhaustibility in two groups. Mention three characteristics of each. 1+1½+1½ = 4 21. Look at the picture carefully and answer the questions that follow: 224 1+2+1 = 4 (21.1) Name the crop shown in the picture. (21.2) Write climatic conditions required for cultivation of this crop. (21.3) Name two major producing states of this crop. Note: The following question is for the Blind Candidates only, in lieu of question number 21. Explain any four characteristics of commercial farming in India. 4x1 = 4 Why is road transport more useful than rail transport in India? Explain four reasons. 4x1 = 4 23. How do social divisions affect politics? Explain with examples. 4x1 = 4 24. How do pressure groups influence politics? Explain with examples. 4x1 = 4 25. “Democracies lead to peaceful and harmonious life among citizens.” Support this statement with examples. 4x1 = 4 26. What is an organised sector? Describe its working conditions. 1+3 = 4 27. Why are transactions made in money? Explain with suitable examples. 4 28. “Globalisation and competition among producers has been of advantage to the consumers.” Give arguments in support of this statement. 4 Six features with serial numbers (i) to (vi) are marked in the given political outline map of India. Identify these features with the help of the following information and write their correct names on the lines marked in the map. 6x1 = 6 22. 29. (i) A region of large scale industries in 1931 (ii) An important centre of overseas trade during 17th century. (iii) A bauxite mine (iv) A mica mine (v) A cotton textile centre (vi) A terminal city of East- West Corridor Or Locate and label the following on the given political outline map of India: 225 6x1 = 6 (i) Madras (Chennai) (ii) Dandi (iii) Rihand - dam (iv) Kaiga - nuclear power plant (v) Vishakhapatnam - iron and steel plant (vi) Srinagar - software technology park Note: The following questions are for the BLIND CANDIDATES ONLY, in lieu of question number 29. (29.1) Name the place where Indian National Congress Session was held in 1927. (29.2) Name the large scale industrial region located on western coast during 1931. (29.3) In which state is Kaiga nuclear power plant located? (29.4) Name the state where Vishakhapatanam iron and steel plant is located. (29.5) Name the major mica mine of Andhra Pradesh. (29.6) Name the western terminal city of East-West Corridor. 226 6x1 = 6 227 228 QUESTION PAPER CODE 32/1 1. Name the oldest Japanese book printed in 868 A.D. 1 OR Name the two countries of Western Europe where the novel first took firm root. ½ + ½ =1 What was the main purpose of launching multipurpose projects in India after Independence? 1 3. Which is the main source of energy in India? 1 4. Mention the two types of good quality iron ore found in India. 5. What is the basis of gender division in the society? 6. Name any two well-known social reformers who worked for the casteless society. 7. Mention the source of inspiration of Bharatiya Janata Party. 1 8. Who is a producer? 1 9. What is the main function of Consumer Protection Councils? 1 10. Mention any two ways in which consumers are exploited in the market. 11. Describe briefly any three economic effects of Non-Cooperation Movement. 3x1=3 12. Study the given passage carefully and answer the questions that follow: 1+2=3 2. Satyagraha is not physical force. A satyagrahi does not inflict pain on the adversary; he does not seek his destruction ... In the use of satyagraha, there is no ill-will whatever. Satyagraha is pure soul-force. Truth is the very substance of the soul. That is why this force is called satyagraha. The soul is informed with knowledge. In it burns the flame of love... Non-violence is the supreme dharma ... It is certain that India cannot rival Britain or Europe in force of arms. The British worship the war-god and they can all of them become, as they are becoming, bearers of arms. The hundreds of millions in India can never carry arms. They have made the religion of non-violence their own ... 229 ½ + ½ =1 1 ½ + ½ =1 ½ + ½ =1 (12.1) What is the main difference between physical force and soul force? 1 (12.2) Why can’t Indians carry arms? Explain. 2 Note: Below are given three Groups A, B and C for questions number 13 and 14. Select anyone group for answering these two questions. GROUP A 13. Describe briefly the effects of Rinderpest in Africa in the 1890s. 3x1=3 14. Explain the impact of the First World War on Indian industries. 3x1=3 GROUP B 13. 14. Explain any three problems faced by the Indian cotton weavers by the turn of the nineteenth century. 3x1=3 Explain the social changes which led to the need for the underground railways in London. 3x1=3 GROUP C 13. 14. 15. How was the food problem solved in Britain after the scrapping of the ‘Corn Laws’? Explain. 3x1=3 What was the tradition of ‘London Season’ ? Explain different forms of entertainment that came up in nineteenth century England to provide leisure activities for the people. 1+2=3 “The print culture created the conditions within which the French Revolution occurred.” Support the statement giving three arguments. 3x1=3 OR “Colonial administrators found vernacular novels a valuable source of information on native life and customs.” Support the statement with suitable examples. 3x1=3 16. How do industries pollute air and water? Explain with examples. 17. What are public interest groups? How do they look after the public interests ? Explain. 1+2=3 18. Compare India and Sri Lanka on the basis of any three indicators of Human Development Index for 2004. 3x1=3 230 1½+1½ = 3 19. Explain any four measures introduced by French Revolutionaries to create a sense of collective identity among the people of France. 4x1=4 OR 20. 21. Explain any four challenges faced by the ‘New Republic of Vietnam’ after 1945. 4x1=4 Explain any four human activities which are mainly responsible for land degradation in India. 4x1=4 Look at the given picture carefully and answer the questions that follow: 1+2+1=4 (21.1) Name the crop shown in the picture. (21.2) State the climatic conditions required for cultivation of this crop. (21.3) Name the two major regions of growing this crop. Note: The following question is for the Blind Candidates only, in lieu of Q. No.21. Explain briefly any four features of intensive subsistence farming in India. 22. 4x1= 4 How do physical and economic factors influence the distribution pattern of the Indian Railway network? Explain with examples. 2+2 = 4 Describe any three demands of the Sri Lankan Tamils. How did they struggle for their demands? 3+1 = 4 24. Describe any four aspects of life in which women are discriminated in Indian society. 4x1 = 4 25. Explain how democracies lead to peaceful and harmonious life among citizens. 4x1 = 4 23. 231 26. What is unorganised sector? Describe the working procedure of this sector. 1+3 = 4 27. What are Self-Help Groups? Describe, in brief, their functioning. 1+3 = 4 28. What are multinational companies? How do they control production in other countries? Explain with examples. 29. 1+3 = 4 Six features with serial numbers (1) to (6) are marked in the given political outline map of India. Identify these features with the help of the following information and write their correct names on the lines marked in the map: (1) A region of large scale industries in 1931 (2) A centre of overseas trade during seventeenth century (3) A Bauxite Mine (4) A Mica Mine (5) A Woollen Textile Centre (6) Terminal station of East-West Corridor 6x1 = 6 OR Locate and label the following items with appropriate symbols on the given political outline map of India : 6x1 = 6 (1) Chauri-Chaura (2) Bardoli (3) Koyna - Dam (4) Rawat Bhata - Nuclear Power Plant (5) Salem - Iron and Steel Plant (6) Bhubaneshwar - Software Technology Park Note: The following questions are for the Blind Candidates only, in lieu of Q. No.29. (29.1) Name anyone large scale industrial region developed in 1931 on the western coast of India. 232 (29.2) Name anyone important overseas trade centre of seventeenth century located on the eastern coast of India. (29.3) Name the state where Rawat Bhata Nuclear Plant is located. (29.4) In which state is Koyna Dam located? (29.5) Name the Software Technology Park of Orissa. (29.6) Which is the easternmost city of East-West Corridor? 233 6x1=6 234 235 Marking Scheme ---- Social Science General Instructions 1. The Marking Scheme provides general guidelines to reduce subjectivity in the marking. The answers given in the Marking Scheme are suggested answers. The content is thus indicative. If a student has given any other answer which is different from the one given in the Marking Scheme but conveys the meaning, such answers should be given full weightage. 2. Evaluation is to be done as per instructions provided in the Marking Scheme. It should not be done according to one’s own interpretation or any other consideration. Marking Scheme should be strictly adhered to and religiously followed. 3. If a question has parts, please award marks in the right hand side for each part. Marks awarded for different parts of the question should then be totalled up and written in the left hand margin and circled. 4. If a question does not have any parts, marks be awarded in the left-hand margin. 5. If a child has attempted an extra choice question, answer of the question deserving more marks should be retained and the other answer scored out. 6. While evaluating the answer book it should be remembered that Social Science course at this stage is a part of general education and therefore does not require a specialized study of the five subjects- History, Geography, Civics, Economics & Disaster Management which comprise it. 7. Except for questions which require recall of information, the responses of students should be evaluated in terms of the understanding that they reflect. Listing down of points without any explanation may not be proper indication of the examinee’s understanding. 8. A mere listing of a large number of points should not be seen as a better answer than fewer points well explained. The answers of the latter type should be given credit. 9. Reference to the page number of the prescribed text books has been given for various questions. This is for the information of the examiners and a reading of these pages of the text books may be useful in assessing the answer scripts. Page number in the Marking Scheme refers to the N.C.E.R.T books (latest edition) 10. A full scale of marks 0 to 80 has to be used. Please do not hesitate to award full marks if the answer deserves it. 236 Specific Instructions 12. The Marking Scheme carries only suggested value points for the answers. These are only guidelines and do not constitute the complete answer. The students can have their own expression and if the expression is correct, the marks should be awarded accordingly. 13. Some of the questions may relate to higher order thinking ability / skills (HOTS). These questions have been indicated separately by putting * on the question number. These questions are to be evaluated carefully and the students’ understanding / analytical ability may be judged QUESTION PAPER CODE 32/1/1 1 Meaning of liberalism : Liberalism stood for freedom for the individual and equality of all before the law/ It meant for freedom of markets and the abolition of state imposed restriction on the movements of goods and capital Page 9 1 OR Main base of colonial economy of Vietnam – Agriculture/Rice cultivation and rubber plantation. Page 33 2 3 4 Sources of fresh water in India 1. Surface run off 2. Ground water Page 23 ½ +½ = 1 Page 51 ½ +½ = 1 Page 62 1 Main ferrous minerals: 1. Iron ore 2. Manganese Largest solar plant Madhapur (Bhuj) 237 5 The two major ethnic groups of Belgium : 1. French 2. Dutch Page 2 6 ½ +½ = 1 Tommie Smith & John Carlos tried to draw international attention to racial discrimination by wearing black socks and no shoes / The black-gloved raised clenched fists with heads bowed. 7 8 Page 30 1 People belonging to the same religion often feel that they do not belong to the same community because they do not have the same interest and aspirations in every context. Page 32 1 The main criterion for comparing the development: Income 9 10 Page 8 1 The total income of the country divided by its total population is known as average income Page 8 1 Meaning of average income:- Meaning of sustainability of development :To raise the level of the present development, but not at the cost of quality of life of future generations / It refers to the sustenance of development over a long period. Page 14 11 1 Romanticism sought to develop a particular form of nationalist sentiments: 1. Romantic artists and poets generally criticized the glorification of reason & science and focused on emotion, intuition and mystical feelings. 2. Created a sense of a shared collective heritage, a common cultural past as the basis of a Nation. 3. Emphasised on vernacular language 4. Any other relevant point (Any three points to be explained) Pages 13,14 238 3x1 = 3 OR The French policy makers wanted to educate the people of Vietnam: 1. Civilizing mission 2. To introduce modern ideas to the colony 3. Needed educated local labour force 4. To counter China’s influences on Vietnam 5. To create Asiatic France solidly tied to European France 6. Any other relevant point (Any three points to be explained) 12 Page 34 3x1 = 3 Pages 63,64 3x1 = 3 Features of Civil Disobedience Movement of 1930: 1. People wanted to break colonial laws. 2. They broke the salt law in different parts of the country 3. Foreign cloth was boycotted 4. Liquor shops were picketed 5. Peasants refused to pay revenue & chaukidari taxes. 6. Village officials resigned from their posts 7. Forest people violated forest laws 8. Large-scale participation of women. (Any three points to be described) 13* (13.1) It was the inalienable right of the Indian people 1. to have freedom 2. to enjoy the fruits of their toil. 3. to have the necessities of life 4. to have full opportunities for growth (Any one point) (13.2) British govt. exploited the Indian masses: 1. Politically 2. Culturally 3. Spiritually 4. Economically (Any two points to be explained) 1 mark 2 marks Page no. 63 239 1+2=3 GROUP A 14 Group 77: - It is a group of 77 developing countries that did not benefit from the growth of western economies. 1 mark 1. Real control over their natural resources 2. More development assistance 3. Fair prices for raw materials 4. Better access for their manufactured goods in developed countries (Any two points to be explained) 2 marks Page 100 15 1+2 = 3 East India Company captured regular supply of cotton & silk goods from Indian weavers: 1. The East India Company established the political power. 2. The Company tried to eliminate the existing traders and brokers connected with the cloth trade. 3. It appointed a paid servant called the Gomastha to supervise weavers, collect supplies and examine the quality of cloth. 4. They provided advance payment to prevent weavers from dealing with other buyers. 5. Any other relevant point (Any three) Page 115 3x1=3 GROUP B 14 The average worker in the mid nineteenth century was not a machine operator but the traditional crafts person and labourer: 1. Very low percentage of the work force was employed in industrial sector. 2. Large portion of the output came from domestic units. 3. Small innovations in non-mechanized sector was the basis of growth 4. Technological changes occurred slowly. 5. New technology was expensive 6. Any other relevant example (Any three points to be explained) Page 108 240 3x 1 = 3 15 Measures taken to decongest London in the 19th and 20th centuries: 1. Greening the open spaces 2. Reducing pollution 3. Landscaping the city 4. Creating a Green Belt around London 5. Development of Garden City 6. Building of apartments 7. Building of family cottages 8. Any other relevant point (Any three points) Pages 132,133 3x1=3 GROUP C 14 The role of technology in removing hardship of availability of foods: 1. Improvement in transport 2. Introduction of refrigerated ships 3. Reducing cost 4. Availability of varied diet 5. Better living conditions 6. Any other relevant point (Any three points to be explained) 15 Pages 83,84 3x1=3 Page 149 3x1=3 The development of cities influenced the ecology & environment: 1. The City of Calcutta was built on marshy land. 2. Large amount of dung & wood was used as fuel 3. Running of steam engines on coal 4. High content of ash in coal from Raniganj mines 5. Use of rice husk as fuel in rice mills resulting in black soot. 6. Any other relevant point (Any three points to be explained) 241 16 Factors that affect the location of industries:1. Availability of raw material 2. Labour 3. Capital 4. Power 5. Market 6. Transport 7. Other services such as banking, insurance etc. 8. Any other relevant point (Any three points to be explained) 17 Page 66 3x1 = 3 Page 8 3x1 = 3 Power is shared among different organs of government. 1. Legislature : makes laws 2. Executive : implements laws 3. Judiciary : safeguards laws Functions of each organ should be explained 18 Consumer movement arose in India :1. Dissatisfaction among consumers due to unethical practices by sellers 2. Non availability of legal system for consumer protection 3. Protection of consumers against unfair trade practices. 4. Malpractices in ration shops 5. Rampant food shortages 6. Any other relevant point (Any three points to be explained) Page 77 19 Print not only stimulated the publication of conflicting opinions but also connected them:Print resulted in the publication of many books on religion and society : 1. Persian newspaper ‘Jam-I-Jahan Nama’ and ‘Shamsul Akhbar’ 2. Gujarati newspaper the ‘Bombay Samachar’, 242 3x1 = 3 3. ‘Ramcharitmanas’ by Tulsidas 4. Debates among social and religious reformers 5. ‘Sambad Kaumudi’ and the ‘Samachar Chandrika’ to oppose its opinion 6. Publishing of ‘fatwas’ by Ulamas- Deoband Seminary 7. Printed texts and newspapers (To be assessed as a whole) Pages 169-170 4x1 = 4 OR Prem chand’s novels are filled with all kinds of powerful characters drawn from all sections of society:1. Aristocrats and landlords 2. Middle level peasants 3. Landless labourers 4. Middle class professionals 5. Women characters 6. Any other point (Any four points) Page 198 20 Classification of resources on the basis of exhaustibility :(a) Renewable resources (b) Non- Renewable resources 1 mark Characteristics of Renewable Resources 1. They can be renewed or reproduced. 2. Available in abundance 3. Cause no pollution 4. They may be continuous or flow resources 5. Examples: Solar, Wind Energy , Forest & wildlife etc 6. Any other relevant point (Any three points) 1 ½ mark 243 4x1 = 4 Characteristics of Non- renewable Resources 1. These resources take millions of years in their formation. 2. Finite and deplete with time 3. Causes pollution 4. They are further divided into recyclable and non-recyclable 5. Examples : iron ore, manganese and fossil fuels (coal, petrol etc) 6. Any other relevant point (Any three points) 1 ½ marks Pages 1 and 2 1+1½ +1½=4 21* (21.1) Sugarcane 1 mark (21.2) Temperature – 21o c to 27o c Rainfall – 75 cms - 100 cms. OR It grows in hot and humid climate 2 marks (21.3) Major producing states: U.P., Maharashtra, Karnataka, Tamil Nadu, Andhra Pardesh, Bihar, Punjab and Haryana (Any two States) ½+½=1 Page 40 1+2+1 = 4 Page 35 4x1=4 FOR THE BLIND CANDIDATES ONLY : Characteristics of commercial farming in India 1. Use of high yielding variety of seeds 2. High doses of chemical fertilizers 3. Use of insecticides & pesticides 4. Different varieties in different regions 5. It also includes single crop farming (plantation) 6. Any other relevant point (Any four points to be explained) 244 22 Road transport is more useful than rail transport in India:1. Lower construction cost 2. Roads can traverse comparatively more dissected and undulating topography 3. Roads can negotiate higher gradient of slopes and mountains 4. Road transport is economical for short distances 5. It provides door-to-door services 6. Road transport is used as a feeder to other modes of transport 7. Any other relevant point (Any four points to be explained) Page 82 23 4x1= 4 Social division affects politics : 1. A combination of politics and social division can be dangerous and explosive. 2. Competition between political parties in a democracy may divide any society. 3. These social divisions can be made into political divisions which can lead to conflicts, violence and disintegration of a country. 4. Example: N.Ireland & Yugoslavia (Any one example to be explained) 24 Page 34 4x1=4 Page 66 4x1 =4 Pressure groups influence politics: 1. They try to gain public support and sympathy for their goals. 2. Influence media to pay more attention to their issues 3. They often organize protest activities. 4. Business groups also work as pressure groups. 5. Pressure groups are also formed or led by political parties. 6. Sometimes pressure groups create political parties. 7. Examples : Narmada Andolan, Assam Gana Parishad, etc (Any four points to be explained with example) 25* 1. 2. Democracies have to accommodate various social divisions. This reduces the possibilities of tension and conflicts among ethnic groups , caste, community etc. 245 3. In a democracy people learn to respect differences and negotiate. 4. In a democracy it is a rule by the majority, however the majority needs to work with a minority. 5. Democracy remains democracy only as long as every citizen has a chance of being in majority at some point of time. 6. Any other relevant point (Any four points with an example) Page 96 26 4x1=4 Organized sector : It covers those enterprises or places of work where employment is on regular basis and follow rules & regulations laid by the Govt. 1 mark Working conditions : 1. Workers enjoy security of employments. 2. Expected to work only a fixed number of hours 3. Workers get other benefits like paid- leave, provident fund, gratuity etc. 4. Get Safe working environment etc. 5. Any other relevant point (Any three points to be explained) 1x3 =3 Page 30-31 27 1+3=4 Transactions are made in money: 1. It becomes easier to buy and sell goods and services with money to make transactions. 2. Examples of a farmer or shoe maker or any other relevant example Page 39 2+2=4 28* Globalization and competition among producers has been of advantage to the consumer : 1. It has resulted in greater choice for the consumers. 2. Improvement in the quality of goods 3. Reduction in prices 4. Raising of standard of living 5. Any other relevant point. (Any four points) Page 66 246 1x4=4 29 Please see the filled up maps attached. FOR BLIND CANDIDATES ONLY (29.1) Madras (29.2) Bombay (29.3) Karnataka (29.4) Andhra Pradesh (29.5) Nellore (29.6) Porbandar 6x1=6 247 248 249 QUESTION PAPER CODE 32/1 1 Diamond Sutra Page 154 1 Page 156 ½+½ =1 The main purpose was to integrate development of agriculture and village economy with rapid industrialization and growth of urban economy. Page 26 1 OR England & France 2 3 4 5 6 Coal Page 58 1 Page 52 ½+½=1 Page 40 1 Page 49 ½+½=1 Page 80 1 Page 19 1 Magnetite & Haematite Gender division is based on social expectations and stereotypes 1. Mahrishi Dayanand Saraswati 2. Raja Ram Mohan Roy 3. Jyoti Ba Phule 4. Mahatma Gandhi 5. B.R.Ambedkar 6. Periyar Rama Swamy (Any two points) 7 8 9 Ancient culture and values (Cultural Nationalism, Hindutav) People producing goods and services are called producers 1. They guide consumers on how to file cases in the consumer court 2. Sometimes they represent individual consumer in the consumer court 3. With the financial help of the government they create consumer awareness among the people (Any one point) Page 84 250 1 10 1. Use of false weights and measures 2. Adulteration 3. Duplicate goods 4. Lack of safety devices in the product 5. Selling the product beyond date of expiry 6. Not giving proper information of the product 7. Black marketing (Any two points) Pages 76-77 11 1. Foreign goods were boycotted 2. Liquor shops were picketed 3. Foreign clothes were burnt 4. The import of foreign clothes was reduced 5. Merchants and traders refused to trade in foreign goods or finance foreign trade 6. Any other relevant point ½+½=1 (Any three points) Page 58 3x1=3 12* (12.1) Main difference between physical force and soul force(1) Physical force inflects pain, soul force doesn’t (2) Soul force uses non violence and physical force uses violence (Any one point) 1 mark (12.2) Indians cannot carry arms as they have made Non-violence their religion 2 marks Page 55 GROUP A 13 1. Rinderpest killed 90% of cattle in Africa. 2. The loss of cattle destroyed African livelihood. 3. Planters, mine owners and colonial government now successfully monopolized the scarce cattle resources to strengthen their power and to force Africans into the labour market. 251 1+2=3 4. Control over scarce resources of cattle enabled Europeon colonizers to conquer and subdue Africa 5. Any other relevant point (Any 3 points) Page 87 14 1. The First World War created dramatically new situation in the industrial growth. 2. British mills were busy with war production to meet the needs of army. India’s import from Manchester declined. 3. Suddenly Indian mills had a vast home market to supply. 4. As the war prolonged Indian factories were called upon to supply war needs like jute bag, clothes for army uniform, tents, leather boots , horses and mule saddles etc. 5. New factories were set up, old ones ran multiple shifts. 6. Many workers were employed and were made to work for long hours 7. Over the war years industrial production boomed. 8. Any other relevant point 3 x1 = 3 (Any three points) Pages 121-122 3x1=3 GROUP B 13 Three problems faced by the Indian cotton weavers by the turn of the 19th Century:1. Export market collapsed. 2. Local market shrunk. 3. Market glutted with Manchester imports, produced by machines at lower cost 4. Weavers could not compete with cheap imported goods. 5. No sufficient supply of raw cotton of good quality and increase in price of cotton due to American war of independence 6. Production by Manchester mills started in India. 7. Any other relevant point (Any three points ) Pages 116-117 252 3x1=3 14 1. Between the two world wars the responsibility for housing the working classes was accepted by the British state which built one million houses. The houses were built at the suburbs and this resulted in the expansion of city beyond the range. 2. This made the new forms of transport like underground railways necessary 3. Underground railways solved the means of travelling to the city. 4. Any other relevant point (Any three points ) Page 133 3x 1 = 3 GROUP C 13 1. Food could be imported into Britain more cheaply than it could be produced within the country 2. In eastern Europe, Russia and America, land was cleared and food production expanded to meet the British demand. 3. Faster industrial growth in the mid 19th century led to higher income so that British could import food 4. Any other suitable point (Any three points) Page 81-82 14 3x1=3 For the wealthy Britishers annual London Season meant conducting several cultural events like operas, theaters and classical music programmes. 1 mark 1. For working class it meant meeting in pubs to have a drink, exchange news and sometimes also to organize for political action and other forms of entertainment 2. Libraries, art galleries, museums were established. 3. Music halls were popular among the lower classes. 4. Cinema became great entertainment for mixed audience. 5. Industrial workers were encouraged to spend their holidays by sea (beaches). 6. Any other point 2 x 1=2 (Any two points) 15 Page 136 Print culture created the conditions within which French Revolution occurred1. Print popularized idea of the Enlightenment thinkers & they argued for the rule of reason rather than custom. 253 1+2=3 2. Print created a new culture of dialogue and debate 3. All value norms and institutions were re-evaluated and discussed by public. 4. By the 1780s there was an outpouring of literature that mocked the royalty and criticized their morality. 5. This literature circulated underground and led to the growth of hostile sentiments against the monarchy. 6. Any other relevant point Pages 163-164 3x1=3 OR 1. Information provided by the vernacular novels were useful to the colonial administrators in governing the Indian society with its large varieties of communities and castes. 2. As outsiders British knew little about life inside Indian households. 3. Novels in vernacular languages had description of domestic life. 4. They showed how people dressed, their forms of religious worship, their beliefs and practices. 5. Some of the books were translated into English often by British administration or Christian missionaries. 6. Any other relevant point (Any three points) Page 191 16 3x1=3 Causes for air pollution 1. Presence of high proportion of undesirable gases like sulpher dioxide and carbon monoxide 2. Air borne particulate materials contain both solid and liquid particles like dust, sprays, mist, smoke and pollen 3. Smoke emitted by factories & automobile ignoring pollution norms 4. Leakage of toxic gas eg. Bhopal gas tragedy Causes for water pollution 1. Discharge of organic and inorganic industrial waste and effluents into rivers 2. Electroplating industries that let out dyes, detergents, acids, salts and heavy metals like lead and mercury, pesticides, fertilizers, synthetic chemicals with carbon, plastics and rubber into water bodies 3. Discharge of major solid wastes into water bodies 4. Any other relevant point (Any three points) 254 Page 78 1½ +1½ = 3 17 Public interest group is a group which promote collective rather than selective good 1 mark 1. They aim to help groups other than their own members. 2. They look after public interest by mobilizing people , creating awareness and by exerting influence on the government. 3. For example BAMCEF (Backward and Minorities Community Employees Federation) is an organization largely made up of government employees that campaigns against caste discrimination 2 marks (Any two points) 18 1. Per capita income, 2. Life expectancy at birth 3. Literacy rate for 15+ years population 4. Gross enrolment ratio for three levels 5. Sri Lanka is much ahead of India 6. India’s HDI rank (126th) is far behind.Srilanka’s 93rd rank Page 64 1+2=3 Page 13 3x1=3 (Any three points) 19 1. The idea of ‘la patrie’ (the fatherland) and ‘la cityon’ (the citizen) emphasized the notion of a united community enjoying equal rights under a constitution. 2. New French tri-colour flag 3. The Estates General was renamed as the National Assembly. 4. New hymns were composed , oaths taken and martyrs commemorated 5. Centralized administrative system which formulated uniform laws for all citizens like uniform weights and measures 6. Regional dialects were discouraged and French as spoken in Paris became common language of the nation. (Any four points) Page 5 OR 1. The French tried to regain control by using the emperor Bao Dai as their puppet. 2. Vietminh were forced to retreat to hills. 255 4x1=4 3. Defeat of the French at Dien Bien Phu led to Geneva conference 4. At Geneva conference Vietnam was divided into north under Ho Chi Minh and south under Bao Dai 5. Bao Dai Government was overthrown by Ngo Dinh Diem 6. His dictatorial rule was opposed by united opposition under the banner of NLF (National Liberation Front) 7. NLF effort to unify Vietnam under Ho Chi Minh led to entry of U.S. It sent troops and arms to prevent the establishment of communist government (Any four points) Pages 43-44 20 1. Deforestation 2. Overgrazing of animals 3. Mining and quarrying 4. Mineral processing like grinding of limestone for cement industry 5. Industrial effluents sent out of factories without proper treatment 4x1=4 (Any four points) Page 7 4x1=4 (2) The plains of north eastern India, coastal areas and the deltaic regions 1+2+1= 4 21* (21.1) Rice (21.2) Temperature above 25o C, Rainfall above 100 cm (21.3) (1) The plains of north Note :- If any student identified this crop as wheat or sugarcane & answered accordingly , full credit be given * Note : Question for Blind Candidates only 1. labour an intensive farming 2. Practised in areas of high population pressure on land 3. Use of high doses of biochemical inputs 4. Use of irrigation 5. Practised on uneconomical land holdings 6. Any other relevant point (Any four points) 256 Page 35 22 Physical factors: 1. The northern plains with their vast level land, high population density provide the most favourable condition for its development. 2. The Himalayan mountainous regions are unfavourable for construction of railway lines due to high relief and sparse population. 3. It is difficult to develop railway lines on sandy plains of western Rajasthan and swamps of Gujarat. 4. Forested areas of Chhattisgarh and northeast India. 5. Any other relevant point (Any two points) Economic factors: 1. Rich agricultural resources in northern plains provided the most favourable conditions for their growth 2. The development of Konkan railways has facilitated the movement of passengers and goods in this most important economic region. 3. Any other relevant point (Any two points) 23 Page 85 4x1=4 Page 4 3+1=4 Three demands of Sri Lankan Tamils1. Recognition of Tamil as official language 2. More autonomy to provinces populated by the Tamils 3. Equality of opportunity in securing education and jobs 4. Any other relevant point (Any three points) 1. Forming political organization 2. Civil war 3. Any other relevant point (Any one point) 24 Four ways in which women are discriminated: 1. Selective sex abortions 2. Numbers of dropouts from the school are more among girl students. 3. Domestic violence 257 4. Dowry harassment 5. Women are paid less for the same work than men 6. Disparity in political representation 7. Any other relevant point (Any four points) Page 43 4x1 = 4 25* Democracies lead to peaceful harmonious life among citizen in following ways :1. Democracy accommodates various social divisions. 2. Democracy develops a procedure to conduct their competition. 3. Democracy evolves mechanism to negotiate the differences. 4. Democracy reduces the possibility of tension between groups becoming explosive/violent. 5. Any other relevant point (Any four points) 26 Page 96 Unorganized sector is a sector which has small and scattered units largely outside the control of the government 1 mark 1. Jobs are low paid and often not regular 2. No provision for overtime, paid holidays leave. 3. Employment is not secure. People can be asked to leave without any reason. 4. Any other relevant point (Any three points) 3x1=3 Page 31 27 4x1=4 1+3=4 Self Help Group is a group of rural poor women numbering between 15-20 members who pool up their savings 1 mark 1. They save from Rs.25 to Rs.100 per months 2. Members take loans from the group on interest lesser than the interest charged by money lenders 3. After a year or two if the group is regular in saving, it becomes eligible for availing loan from the bank 4. The group is responsible for the repayment of loan 5. Any other relevant point (Any three points) 3x1=3 Pages 50-51 258 1+3=4 28* MNC is a company that owns or controls production in more than one nation 1. MNCs set up factories and offices for production on their own. 2. MNC’s set up production jointly with some of the local companies of the host countries. 3. MNC’s buy up local companies and then expand their production. 4. Large MNCs in developed countries place orders for production with small producers. 5. Parakh foods and Cargill are the example (Any other MNCs example) Any other relevant point Pages 51-58 29 1+3=4 Filled in Map attached FOR BLIND CANDIDATE ONLY: (29.1) Bombay (29.2) Hoogle / Masulipatam / Madras (29.3) Rajasthan (29.4) Maharashtra (29.5) Bhubaneshwar (29.6) Silcher 6 259 260 261 laLÑre~ ¼lEiz"s k.kk/kkfjre~½ fu/kkZfjr le; % 3 ?k.Vs vf/kdre vad % 100 funs'Z kk% % 1- vfLeu~ iz'ui=ks pRokj% [k.Mk% lfUrA 2- izfr[k.Me~ mÙkjkf.k i`Fkd~ iznÙkk;ke~ mÙkjiqfLrdk;ka ys[kuh;kfuA 3- izR;sda [k.Me~ vf/kÑR; mÙkjkf.k ,dfLeu~ LFkkus Øes.k ys[kuh;kfuA 4- iz'ui=ks mÙkjkf.k u ys[kuh;kfuA 5- iz'ula[;k iz'ui=kkuqlkje~ vo';eso ys[kuh;kA 6- los"Z kka iz'ukuke~ mÙkjkf.k laLd`rus ys[kuh;kfuA iz'u i=k la[;k 52/1 [k.M% ^d* ¼vifBr & vocks/kue~½ 1- 15 vøk% v/kksfyf[kre~ vuqPNsn};a ifBRok iznÙkiz'uku~ mÙkjr& ¼v½ izFke% vuqPNsn% 5 laLd`rHkk"kk;ke~ vkn'kZiq#"k:is.k] e;kZnkiq#"k:is.k ok Hkxor% JhjkeL; o.kZua egkf"kZokYehfduk LoegkdkO;s·u?kS%Z v{kjS% fpf=kre~A ukVds"kq eq[;r% egkdfo% Hkkl% izfrekukVds vfHk"ksdukVds p d`roku~A rrks egkdfo% HkoHkwfr% mÙkjjkepfjrs egkohjpfjrs p e;kZnkiq#"kksÙkfeee~ vo.kZ;r~A egkdkO;s egkdfo% dkyhnkl% j?kqo'a ks of.kZroku~A ;s ;s egkdo;% ukVddkjk% vL; o.kZua dqofZ Ur rs losZ pfj=keL; vykSfdda o.kZ;fUrA o;a Hkkjrh;k ,o u los·Z fi lkalkfjdk% tuk% iwt;fUr egkUra iq#"kesue~A vL; pfjrL; dkj.kkn~ ns'ks·Lekda ioZ};a ekU;rs·R;qRlkgsu&fot;n'keh nhikoyh pA iz'uk% I. ½×2 = 1 ,dinsuksÙkjrA ¼i½ okYehfd% vkn'kZiq#"ka dfLeu~ vo.kZ;r~\ ¼ii½ mÙkjjkepfjra dL; d`fr%\ 262 II 1×2 = 2 iw.kZokD;suksÙkjrA ¼i½ vLekda ns'ks ioZ};a dFka ekU;rs·R;qRlkgsu\ ¼ii½ ds dL; pfj=ke~ vykSfdda o.kZ;fUr\ III. ;Fkkfuns'Z keqÙkjrA ¼i½ ½×4 = 2 ^vo.kZ;r~* vL;k% fØ;k;k% dr`iZ na fde~\ ¼ii½ ^v{kjS %* bfr inL; fde~ fo'ks"k.ke~ \ ¼iii½ ^vn~Hkqre~* vL; i;kZ;a fy[krA ¼iv½ ^ikjykSfddk%* vL; foykseina fy[krA ¼[k½ f}rh;% vuqPNsn% 10 vadk% phuns'kL; iz[;kr% nk'kZfud% izfrfnua izkr% ioZrs vHkzer~A ekxsZ rL; fe=ke~ vfeyr~ ;% ra izk.ker~ ija l nk'kZfud% v/kZgksjk·uUrjennkr~ rL; mÙkja ;r% l fopkjs"kq eXu% vHkor~A ,dnk fe=kL; ,dks cU/kq% rsu lg vklhr~A l% LoHkkor% nk'kZfudeuer~ vxzs xRok vonr~A ^^vgks dhn`'ka 'kksHkuefLr izHkkre~ dhn`'kkfu eukseksgdfu lfUr n`';kfu v=kA nk'kZfud% Lofe=ka rL; cU/kqa p lØks/kei';r~A ;FkSo fnus nk'kZfudfe=ka rL; x`gs izkIr% rq nk'kZfud% vdFk;r~ & ^ro cU/kq% rq vf/kdeso onfr] iqu% ,ua en~xg` s ek vku;A ,"k lokZu~ n'kZ;fr ,rkfu lqUnjkf.k n`';kfuA* iz'uk% I. ½×4 = 2 ,dinsuksÙkjrA ¼i½ d% ioZrs vHkzer~\ ¼ii½ nk'kZfud% dnk ueLdkjL; mÙkje~ vnnkr~ \ ¼iii½ nk'kZfud% Lofe=ka dFkei';r~ \ ¼iv½ cU/kq% dFka onfr\ II. 2×2 = 4 iw.kZokD;suksÙkjrA ¼i½ x`gs izkIra Lofe=ka nk'kZfud% fde~ vdFk;r~ \ ¼ii½ nk'kZfudL; fe=kL; cU/kq% vxzs xRok fde vonr~ \ 263 III. ;Fkkfuns'Z keqÙkjrA ¼i½ ½×4 = 2 ^n`';kfu* vL; fd fo'ks"k.ke~\ ¼ii½ ^rsu lg vklhr~* v=k ^rsu* bfr loZukeina dLeS iz;Dq re~\ ¼iii½ ^vonr~* vL;k% fØ;k;k% dr`iZ na fde~\ ¼iv½ ^vlqUnjkf.k* vL; foykseina fde~\ IV. vL; vuqPNsnL; d`rs mi;qDra 'kh"kZda laLd`rus fy[krA 2 [k.M% ^[k* jpukReddk;Ze~ 2- 20 vøk% ½×10 = 5 i=kys[kue~% && Hkoku~ uhjt%A Hkor% xzkes LokLF;dsUnzL;ksn?~ kkVua HkofrA Hkor% eul% vkg~yknL; o.kZua dqouZ ~ Hkoku~ fe=ka lquUna izfr i=ka fy[kfrA rfLeu~ i=ks e×tw"kk;k fjDrLFkkukfu iwj;u~ i=ka iw.kZa d`Rok iqu% fy[krqA xq#xzke%] ikVkfyiq=ke~A fnukad% &&&&&&&&&&&&&&&& fiz;fe=k &&&&&&&&&&&&&&&& ¼i½ lLusga &&&&&&&&&&&&&&& ¼ii½ Hkor% i=ka izkIre~A lekpkjk voxrk%A g"kZL; fo"k;ks·;a ;n~ vLekda ¼iii½ &&&&&&&&&&&&&&& e.Mykf/kdkfjfHk% LokLF;dsUnzL;ksn?~ kkVua ¼iv½ &&&&&&&&&&&&&&&&&&& rkfjdk;ka Hkfo";frA losZ ¼v½ &&&&&&&&&&&&&& lekpkje~ ,ra KkRok ¼vi½ &&&&&&&&&&&&&&&&&&&& l×tkrk%A vusu LokLF;dsUnz.s k ¼vii½ &&&&&&&&&&&&&&&&&&&&&& jksxk.kke~ mipkjks xzkes ,o Hkfo";frA xzkeh.kk% v/kquk miuxja ¼viii½ &&&&&&&&&&&&&&&&&&&&&& u xfe";fUrA ,rsu u dsoya xzkeh.kuka /kuL; viO;;ks u Hkfo";fr ija rs"kka ¼ix½ &&&&&&&&&&&&&&&&&&&&&& uk'kks·fi u Hkfo";frA {k.ksu jksx"s kq u"Vs"kq xzkes okrkoj.ka lq[kna Hkfo";frA Hkkoa tukuka nz"Vqa Hkoku~ vo';a ee xzkee~ vkxPNrqA ekr`pj.k;ks% iz.kkek%] fLuX/kk;S p 'kqHkkf'k"k%A HkoR;k% &&&&&&&&&&&&&&& ¼x½] uhjt%A 264 e×tw"kk ¼i½ lqâr~ ¼ii½ le;L; ¼iii½ fpfdRlk;S ¼iv½ lquUn! ¼v½ i×pfoa'kR;ke~ ¼vi½ izlUuk% ¼vii½ xzkeh.kk% ¼viii½ ue% ¼ix½ xzkes ¼x½ vkrZokuke~A 3- 1×5 = 5 laoknys[kue~ % v/kksfyf[kra laokna e×tw"kkiznÙkiafDrlgk;r;k iwjf;Rok fy[kr % ¼/kus'k% uhjs'k% p fo|ky;L; vYikgkjx`gs mifo"VkS n'ko"khZ;% jkes'oj% vkxE; pk;ik=kkf.k LFkki;frA½ /kus'k% & vjs! dnkizHk`fr v=k dk;Za djksf"k\ iwoaZ rq u voyksfdr%A jkes'oj% & 1- &&&&&&&&&&&&&&&&&&&&&&&&&&&& /kus'k% & ,oe~ lIrkg% vHkor~A dqr% vkxr% Roe~\ jkes'oj% & 2- &&&&&&&&&&&&&&&&&&&&&&&&&&& /kus'k% & Roe~ e/;s ,o iBua R;DRok dFka iVukr% bg vkxr%\ jkes'oj% & fda djokf.k\ ee vHkkfxuks tud% iwo± nq"VS% gr%A v/kquk ee 3- &&&&&&&&&&&&&&&&&&&&&&&&&&&& vukFk% vga dFka fuokZga dq;kZe\~ /kus'k% & fda Roa ifBrqa usPNfl\ jkes'oj% & 4- &&&&&&&&&&&&&&&&&&&&&&&&&&&& ija fo|k ukfLr ee HkkX;sA /kus'k% & grksRlkgh u HkoA fo|ky;s jk=kkS vfi v/;;ua dk;ZrAs fdefi iwoZ ifBre~\ jkes'oj% & f}rh;d{kki;ZUre~ ,oA /kus'k% & lk;e~ vkxPNrq "kM~oknusA ;fn /;kusu iBfl] Nk=ko`fÙka yIL;lsA jkes'oj% & cgq mid`re~A 5- &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& /kus'k% & loZa rok/khue~A m|esu fg fl/;fUr dk;kZf.kA e×tw"kk 1- bZ'oj% Hkors lokZa lQyrka iznkL;frA 2- vo';e~ bPNkfeA 3- iVukr%A 4- lIrkg ,o tkr%A 5- ekrk vfi fnoaxrkA 265 4- 2×5 = 10 fp=ko.kZue~ % i×plq laLd`rokD;s"kq e×tw"kknÙkinS% v/kksfyf[kra fp=ka o.kZ;r % e×tw"kk okfVdk] o{ks] e×p%] lk;adky%] pUnz%] ckyd%] Qykfu] y?kqiknik%] mRirfUr] [kxk%] v/k%] irfUrA vFkok ¼dsoya izKkp{kqH;Z %½ 2×5 = 10 i×plq laLd`rokD;s"kq y?kqokfVdk;k% o.kZua e×tw"kk;k% inlgk;r;k dq#rA e×tw"kk Nk=kk%] ckydk%] iq#"kk%] dqofZ Ur] okuj%] o`{kk%] Qyghuk%] vkri%] yHkUrs] lk;a] pUnzek%A [k.M% x vuqiz;qDrO;kdj.ke~ 5- v/kksfyf[krkokD;s"kq js[kkf³~drins"kq lfU/ka lfU/kPNsna ok fo/kk; fy[kr % ¼i½ vfHk + b"Vkfu oLrwfu izkI; lUrq"V% vHkor~A ¼ii½ ikfiuke~ + p lnk nq%[ke~A ¼iii½ loZnk fo|ekuks·L; dk;Zdykia i';kfeA 266 30 vøk% 1×3 = 3 6- v/kksfyf[krs"kq okD;s"kq js[kkf³~drins"kq lekla foxzga ok d`Rok fy[kr % ¼i½ 1×4 = 4 uhyksRiye~ bo ,da p{kq% lefiZroku~A ¼ii½ loZa nnkfr loZna k·Lekda lfUuf/ka fØ;kr~A ¼iii½ izPNUua HkkX;a ;L; l% LoiRuha lEcks/; mokpA ¼iv½ ohjtuuh Roa 'kksfprqa ukgZflA 7- 1×5 = 5 dks"Bds iznÙkku~ izdf` rizR;;ku~ ;kstf;Rok fy[krA (i) ee &&&&&&&&&&&&&&&&&&&& ¼dhn`'k + ³hi~½ b;a Dys'kijEijkA (ii) ekjf;rqe~ &&&&&&&&&&&&&&&&&&&& ¼b"k~ + 'kr`½ l dy'ka x`gkH;Urjs f{kIroku~A (iii) Nysu vf/kx`á &&&&&&&&&&&&&&&&&&&& ¼Øwj + ry~½ Hk{k;flA (iv) v/kquk &&&&&&&&&&&&&&&&&&&& ¼je.kh; + Vki~½ fg l`f"Vjs"kkA (v) 8- rkfydkiznÙkinkfu la;ksT; i×pokD;kfu laLd`rus jp;r % rs 9- vusdkfu vU;kfu &&&&&&&&&&&&&&&&&&&& ¼n`'k~ + vuh;j~½ LFkykfu vfi lfUrA fo|ky;a dnk /kkofUr izfr;ksfxrk;S xPNfUr lR;e~ uwue~ brLrr% v/kquk u onfUr vxPNu~ uxje~ xfe";fUr 'o% v/kksfyf[krokrkZykis fjDrLFkkukfu iwjf;Rok fy[kr % jek & ekys! Roa fda fy[kfl\ ekyk & vga rq i;kZoj.kfo"k;s ys[ka fy[kkfeA jek & Ro;k mi;qDr% ys[k% 1- &&&&&&&&&&&&&&&&A ekyk & /kU;okn%A lEizfr 2- &&&&&&&&&&&&&&&&dq=k xE;rs\ jek & fo|ky;%A fde~ Ro;k u 3- &&&&&&&&&&&&&&&&;r~ v| r=k ouksRlo% vfLrA ekyk & vke~ Kkre~A e;k vfi l ouksRlo% nz"VO;%A 267 1×5 = 5 1×3 = 3 10- v/kksfyf[krokD;s"kq v³~dkuka LFkkus laLd`rins"kq le;a fy[kr % ¼i½ izkr% 9-45 oknus nhiizTokyu~eA~ ¼ii½ izkr% 10-15 oknus vfrFks% Lokxre~A ¼iii½ izkr% 10-30 oknus ukVdkfHku;%A ¼iv½ e/;kÌs 3-00 oknus dk;ZØelekfIr%A 11- v³~dkuka LFkkus laLd`rla[;kokpdfo'ks"k.kinkfu iz;qT; mÙkjkf.k fy[kr % 1×4 = 4 ½×4 = 2 xzkeL; izkFkfedikB'kky;ka 20 Nk=kk%] 15 ckfydk%] 3 v/;kidk% 2 v/;kfids p izfrfnue~ LoLodk;Za dqofZ UrA 1×4 = 4 12- v/kksfyf[krokD;kuka la'kks/kua d`Rok fy[kr % rs v=k o`{klspue~ vfHku;frA rk% p ukVdL; dFkka Ük`.kqr%A funs'kd% iwoeZ os e×pL; fuekZ.ke~ vdjks%A o;a p Hkfo";kfe nz"Vkj %A [k.M% ?k ifBr&vocks/kue~ 13- v/kksfyf[kra x|ka'ka] i|ka'ka] ukV~;ka'ka p ifBRok iznÙkiz'ukukeqÙkjkf.k fy[kr % 35 vøk% 15 ¼d½ x|ka'k% vFk dnkfpr~ nku'kkyklq fopju~ l jktk cgq/kuykHksu lUrq"Vkuke~ vfFkZuka fojyla[;ka foyksD; vfpUr;r~& ^ee vfFkZu% rq /kuykHkek=ks.k lUrks"ka HktUrsA uwua rs nkuohjk% lkSHkkX;'kkfyu% ;ku~ ;kpdk% 'kjhjL; vúkfu vfi ;kpUrsA ,oa jkK% Los"kq xk=ks"ofi fujklfDar foKk; ldya czãk.Ma O;kdqya tkre~A iz'uk% I. ½×4 = 2 ,dinsuksÙkjrA ¼i½ vfFkZu% dsu lUrq"Vk%\ ¼ii½ ;kpdk% dkfu vfi ;kpUrs\ ¼iii½ lkSHkkX;'kkfyu% ds\ ¼iv½ ldya czãk.Ma dhn`'ka tkre~\ II. 1×1 = 1 iw.kZokD;suksÙkjrA jktk vfFkZuka fojyla[;ka foyksD; fde~ vfpUr;r~\ 268 III. ;Fkkfuns'Z keqÙkjrA ¼i½ ½×4 = 2 ^;kpdk%* vL; d% i;kZ;%\ ¼ii½ ^HktUrs* vL;k% fØ;k;k% dr`iZ na fde~\ ¼iii½ ^vfFkZuke~* vL; fda fo'ks"k.ke~\ ¼iv½ ^gkfu%* vL; foyksena fde~\ ¼[k½ i|ka'k% vk;q"k% {k.kesdks·fi u yH;% Lo.kZdksfVdS%A l psfUujFkZda uhr% dk uq gkfuLrrks·f/kdkAA iz'uk% I. ½×2 = 1 ,dinsuksÙkjrA ¼i½ Lo.kZdksfVdS% vk;q"k% fda u yH;%\ ¼ii½ d% fujFkZda uhr%\ II. 2×1 = 2 iw.kZokD;suksÙkjrA dqr% vf/kdk gkfu% u vfLr\ III. ;Fkkfuns'Z keqÙkjrA ¼i½ ½×4 = 2 ^o;l%* vL; d% i;kZ;%\ ¼ii½ ^lkFkZde~* vL; fda foykseine~\ ¼iii½ ^gkfu%* vL; fda fo'ks"k.ke~\ ¼iv½ vfLeu~ 'yksds fØ;kina fda fde~\ ¼b½ ukV~;ka'k% Jhd`".k% vke~ e;k dfFkre~A ukga RoÙk% czãkL=ke~ bPNkfeA ;fn Roa ee xnka] 'kfDar] /kuq% pØa ok bPNfl rqH;a nnkfeA ;qf/kf"Bj% rrLrr%A Jhd`".k% l rq pØe~ ,o v;kprA x`gk.k pØe~ bfr mDr% l lO;su ikf.kuk pØa x`ghroku~] fdUrq l% rr~ pØa LoLFkkukr~ lapkyf;rqe~ vfi leFkZ% u vHkor~A ;qf/kf"Bj% tkuhe% Hkor% fnO;ka 'kfDre~A 269 iz'uk% I. ½×4 = 2 ,dinsuksÙkjrA ¼i½ v'oRFkkek dLekr~ czãkL=ke~ u bPNfr\ ¼ii½ nzkfS .k% dsu pØa x`ghroku~\ ¼ii½ d% Jhd`".kL; fnO;ka 'kfDar tkukfr\ ¼ii½ d% pØa lapkyf;rqa leFkZ% u vHkor~\ II. 1×2 = 2 iw.kZokD;suksÙkjrA Jhd`".k% nzkfS .kus fda fda nkrqe~ bPNfr\ III. ;Fkkfuns'Z keqÙkjrA ½×4 = 2 ¼i½ ^x`ghroku~* vL; dr`iZ na fde~\ ¼ii½ ^'kfDre~* vL; fda fo'ks"k.ke~\ ¼iii½ ^okesu* vL; d% i;kZ;%\ ¼iv½ ^nsfg* vL; foykseina fde~\ 14- v/kksfyf[kri|};L; HkkokFkZe~ mi;qDrinS% iwjf;Rok fy[kr % ¼i½ dkd% d`".k% fid% d`".k% dks Hksn% fiddkd;ks%A olUre;s izkIrs dkd% dkd% fid% fid%AA HkkokFkZ% ;nk (i)&&&&&&&&&&&&&& vkxPNfr rnk dksfdyL; e/kqjLojs.k Kk;rs ;n~ vu;ks% e/;s d% (ii)&&&&&&&&&&&&&&&&& vfLr] vU;Fkk };ks% ,o o.kZ% (iii)&&&&&&&&&&&&&&&&& ,o HkofrA ¼ii½ fo}kal ,o yksd·s fLeu~ p{kq"eUr% izdhfrZrk%A vU;s"kka onus ;s rq rs p{kqukZeuh ersAA HkkokFkZ% tuk% fo|k:fi.kk us=ks.k loZa O;ogkja drqaZ leFkkZ%A vr% vfLeu~ (i)&&&&&&&&&& dsoya Kkfuu% ,o (ii)&&&&&&&&&&A ;s lfUr fo|kghuk% rs"kka us=ks rq (iii)&&&&&&&&& ,oA 270 3+3 = 6 1½+1½ = 3 15- v/kksfyf[kri|};L; vUo;;ks% fjDrLFkkukfu iwjf;Rok iqu% fy[kr% I fe=k:ik fg fjio% lEHkk";Urs fop{k.kS%A ;s fgra okD;eqRl`T; foijhrksilsfou%AA vUo;% ;s (i)&&&&&&&&&&&&&&&& okD;e~ mRl`T; (ii)&&&&&&&&&&&&&&&& rs fg fop{k.kS% fe=k:ik% (iii) &&&&&&&&&&&&&& lEHkk";UrsA II vFk dsu iz;Dq rks·;a ikia pjfr iq:"k%A vfuPNUufi ok".ks;Z ! cykfno fu;ksftr%AA vUo;% gs ok".ks;Z ! vFk v;e~ (i)&&&&&&&&&&&&&& cykr~ dsu (iii)&&&&&&&&&&&&&&&& ikia pjfrAA (ii)&&&&&&&&&&&&&&bo vfuPNu~ vfi 1x4 = 4 16- js[kkf³~drinkfu vk/k`R; iz'ufuekZ.ka dq#rA ¼i½ Hkhe% ,dkdh nzk.s kiq=kk; vye~A ¼ii½ ,dfLeu~ o"ksZ prqfoZ'a kfr% i{kk%A ¼iii½ rÙokFkZL; fu.kZ;% foosdus drqaZ 'kD;%A ¼iv½ lw;LZ ; izdk'k% v#.kkpyizn's ka Li`'kfrA 17- ?kVukØekuqlkje~ v/kksfyf[krokD;kfu iqu% fy[krA ¼i½ ekxsZ dL;fpn~ ckyL; opukfu JqRok izPNUuHkkX;L; p{kq"kh mUehfyrsA ¼ii½ rL; fe=ka nq"Vcqf)% ,dnk rL; x`gs pkS;kZFkZekxr%A ¼iii½ nq"Vcqf)% lis.Z k fe=ka ekjf;rqa dy'ka x`gkH;Urjs f{kIroku~A ¼iv½ l p ikiiFka R;DRok x`gekxr%] {ks=ks p gydk;Za drqeZ kjHkrA ¼v½ dy'kkn~ cfg% fuxZR; fo"k/kj% nq"Vcqf)e~ ,o n"Voku~A ¼vi½ dy'kikr'kCnsu izc) q kS nEirh ijLije~ voyksd;UrkS vk'p;ZpfdrkS tkrkSA ¼vii½ izPNUuHkkX;% Lofe=ks.k nq"Vcqf)uk lg /kukFkZa xr%A ¼viii½ l v'oRFkewya [kfuRok fo"k/kj;qDra lqo.kZdy'ka izkIroku~A 271 ½x8 = 4 ½x6=3 18- 'kCnku~ vFks%aZ lg esy;r % 'kCnk % vFkkZ % ¼i½ gs;e~ ;fn ¼ii½ vuqtkukrq ljLorh ¼iii½ v#.kL; psrl% ¼iv½ 'kkjnk vkKka nsfg ¼v½ psr~ jDrL; ¼vi½ eul% R;kT;e~ iz'u i=k la[;k 52 [k.M% ^d* 15 vøk% ¼vifBr & vocks/kue~½ 1- v/kksfyf[kre~ vuqPNsn};a ifBRok iznÙkiz'uku~ laLd`rus mÙkjr % ¼v½ izFke% vuqPNsn% laLd`rlkfgR;s loZfo/kkuka jpukuka ys[kdk% orZUrsA dsfpr~ lfUr dkO;ys[kdk% ;s egkdkO;kfu jp;fUrA rs"kka d`rs NkUnksKkue~ vfuok;ZeA~ vr% NUnlka Hksnkuka] Lo:ik.kka ifjpk;dk% xzUFkk% lfUrA dsfpr~ lfUr x|dkjk% ;s x|L; izdkjS% ifjpk;dkfu iqLrdkfu fy[kfUrA fda cgquk] vfLeu~ lkfgR;s ukVdkfu vfi fo|Urs] vr% lekykspdk% ukVdy{k.ke~ vfi fyf[kroUr%A ukVdy{k.ks bnefi lwfpre~&&dkfufpr~ ukVdkfu HkofUr] dkfufpr~ izdj.kkfuA izdj.ks HkofUr n'k vadk%] ukVds"kq HkofUr] iap lIr ok vadk%A dkfufpr~ ukVdkfu rq ,dkadkfu ,o n`';UrsA oLrqr% laLd`rlkfgR;a xkSjokfUora dF;rsA iz'uk% I. ½×2 = 1 ,dinsu mÙkjrA ¼i½ dkO;ys[kdk% dkfu jp;fUr\ ¼ii½ izdj.ks dfr vadk% HkofUr\ 272 II. 1×2 = 2 iw.kZokD;su mÙkjrA ¼i½ x|dkjk% fda dqofZ Ur\ ¼ii½ dkO;ys[kdkuka d`rs fde~ vfuok;Ze\~ III. ;Fkkfuns'Z ke~ mÙkjrA ¼i½ ½×4 = 2 ^egÙoe~* bfr inL; d% i;kZ;%\ ¼ii½ loZ fo/kkuke~ bfr inL; fda fo'ks";e~\ ¼iii½ ^orZUrs* fØ;k;k% dr`iZ ns fde~\ ¼iv½ ^;s* bfr loZukeine~ vuqPNsns dsH;% iz;Dq re~\ ¼vk½ f}rh;% vuqPNsn% ,dnk ,d% oSnfs 'kd% izFkejk"Vªirs% JhjktsUnzil z knL; x`ga izkIroku~A jk"Vªirs% ifjpkjd% ra vkfrF;x`gs izrhf{krqe~ vdFk;r~ re~ vlwp;r~ p ;n~ jk"Vªifregksn;k% lEizfr iwtka dqofZ UrA l vfrfFk% Kkrqe~ ,sPNr~ ;n~ jk"Vªifr% dFka djksfr iwtke~\ lúkspa dqouZ ~ vfi l vUr% iwtkx`ga izfo"V%A jk"Vªirs% le{ka fo|ekua e`fRi.Ma lks·oUnr J);k p r=k mikfo'kr~A iwtka ifjlekI; jk"Vªifregksn;% iwtkx`gs fLFkra ra n`"V~ok izlUu% vHkor~ llEekua ra vUr% vu;r~A vkxUrqdL; yykVs fo|ekua Hkkoa n`"V~ok JhjktsUnzegksn;% rL; dkSrgw ya foKk; rLeS lecks/k;r~ && ,rn~ e`fRi.Ma HkkjrL; HkwE;k% izrhde~ vfLrA ,rsu e`fRi.Msu ,o Hkkjrh;k% egrhe~ vUukfRedka lEina izkIuqofUrA vr ,o o;a e`fÙkdk;k% d.ks"kq bZ'ojL; n'kZuefi dqe%Z A vLekda fopkjs rq ekuos"kq] i'kqif{k"kq] ik"kk.ks"kq fda ok vpsrus"kq vfi bZ'ojL; lÙkk vfLrA iz'uk% I. ½×4 = 2 ,dinsu mÙkjrA ¼i½ d% JhjktsUnzil z knL; x`ga izkIroku~\ ¼ii½ HkkjrHkwE;k% izrhde~ fde~ vfLr\ ¼iii½ dL;k% d.ks"kq o;e~ bZ'ojn'kZua dqe%Z \ ¼iv½ fda dqouZ ~ vkxUrqd% iwtkx`ga izfo"V%\ 273 II. 2×2 = 4 iw.kZokD;su mÙkjrA ¼i½ jk"Vªifregksn;% vkxUrqda dq=k n`"V~ok izlUu%\ ¼ii½ jktsUnzil z knegksn;% vkxUrqdL; dkSrgw ya foKk; rLeS fda lecks/k;r~\ III. ;Fkkfuns'Z ka mÙkjrA ¼i½ ½×4 = 2 ^izkIuqofUr* &&& vL;k% fØ;k;k% dr`iZ na fde~\ ¼ii½ ^e`fRi.Ma n`"V~ok lks·oUnr* && v=k l* bfr loZukeina dLeS iz;Dq re~\ ¼iii½ ^Hkkoe~* bfr fo'ks";L; fda fo'ks"k.ke~\ ¼iv½ ^fpÌe~* && vL; d% i;kZ;% v=k iz;Dq r%\ IV. vL; vuqPNsnL; d`rs mi;qäa 'kh"kZda fy[krA 2 [k.M% [k jpukReddk;Ze~ 2- 20 vøk% i=kys[kue~ Hkoku~ vk'kqrks"k%A Hkor% fe=ka 'kqHke~ Åu&,dksufoa'kfro"khZ;ka fØdsVizfr;ksfxrka foftR; vkxr%A LokuqHkoku~ o.kZ;u~ Hkoku~ Lofirja izfr i=ka fy[kfrA rfLeu~ i=ks fo|ekukfu fjDrLFkkukfu e×tw"kkinlgk;r;k iwjf;Rok iqu% fy[krqA izfrHkkfodklfo|ky;%] bUnzizLFke~A fnukad % &&&&&&&&&&&&&&&&&&& izkr% Lej.kh;k% ¼i½ &&&&&&&&&&&&&&&&&&&&&&A lknja ¼ii½ &&&&&&&&&&&&&&&&&&&&&&&&A v=k lo± dq'kye~A r=kkfi losZ ¼iii½ &&&&&&&&&&&&&&&&&&&&& lUrq bfr Jhifra ^fo".kaq * ¼iv½ &&&&&&&&&&&&&&&&&&&&&&&A vkuUnizn% ¼v½ &&&&&&&&&&&&&&&&&&&&&&& vfLr ;n~ ee fe=ke~ ¼vi½ &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& Åu&,dksufoa'kfro"khZ;ka fØdsVizfr;ksfxrk;ka ¼vii½ &&&&&&&&&&&&&&&&&&&&&&&&&&&& HkwRok izfrfuo`Ùk%A vr% vga egkUra ¼viii½ &&&&&&&&&&&&&&&& vuqHkokfeA vk'kkls ;r~ l Hkw;ks Hkw;% cg~oh% ¼xi½ &&&&&&&&&&&&&&&&&&&&&&&&& fots";rsA Hkokufi rLeS o/kkZiui=ka fy[krqA ekr`pj.k;ks% lkfHkoknua iz.kkek%] jkf/kdk;S 'kqHkkf'k"k%A Hkorka ¼x½ &&&&&&&&&&&&&&&&&&&&&] vk'kqrks"k%A 274 ½×10 = 5 e×tw"kk izfr;ksfxrk%] o'kaon%] fir`pj.kk%] izkFkZ;]s iz.kkek%] ifjrks"ke~] fot;h] lekpkj%] 'kqHke~] dq'kfyu%A 3- laoknys[kue~ v/kksfyf[kra laokna e×tw"kkiznÙkiafälgk;r;k iwjf;Rok iqu% fy[kr % jek &&& yfrds! ro n`"V~;k fnYyhuxjL; Nfo% v|Ros dsu izrh;rs\ yfrdk &&& ee fopkjs rq ¼i½ &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& ,oA jek &&& fde~ Roa dnkfi rfLeu~ ¼ii½ &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&\ yfrdk &&& vusd'k% ¼iii½ &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& rq rsuoS izfrfnua ¼iv½ &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& xE;rsA jek &&&&& yfrds! vgefi Ro;k lg rfLeu~ ;k=kka drqfZ ePNkfeA yfrdk &&& lf[k! f}rh;'kfuokljs vodk'ks ¼v½ &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& rsu izxfr{ks=ka xfe";ko%A e×tw"kk e;k] eSVkª ;s kusu] vxPN%] vkoke~] fo|ky;%A 4- fp=ko.kZue~ i×plq laLd`rokD;s"kq e×tw"kkinlgk;r;k v/kksfyf[kra fp=ko.kZua dq#r % 275 1×5 = 5 e×tw"kk Nk=k%] ijh{kkfnol%] iq"iik=ke~] Nk=kk] e×pkS] xok{ks] ';keiVs] ?kfVdk;U=ke~] fr"Br%] dq#r%] fHkÙkkS] likn&v"Voknue~] izkjEHk%] ijh{kk;k%] n`';rsA vFkok dsoya izKkp{kqH;Z% ijh{kk;k% izkjEHkkr~ iwo± Nk=k% Nk=kk p da da okrkZykia dq#r%\ vfLeu~ fo"k;s e×tw"kkinlgk;r;k i×pokD;kfu laLd`rus fy[krA e×tw"kk ijh{kk;k%] izkjEHk%] laLd`rfo"k;L;] vLejke] ikBku~] vifBrL;] ifBrL;] lTtk] vk'kklsA [k.M% x vuqi;z ä q O;kdj.ke~ 5- v/kksfyf[krokD;s"kq js[kkførins"kq lfU/kPNsna lfU/ka ok fo/kk; fy[kr % ¼i½ 30 vøk% 1×3 = 3 vnh;ekua fu/kuSdfu"Be~A ¼ii½ u dq;kZr~ + vfgra deZA ¼iii½ ;su l foosd brhfjr%A 6- v/kksfyf[krokD;s"kq js[kkførins"kq lekla foxzga ok d`Rok fy[kr % ¼i½ 1×4 = 4 ikBrks·I;uH;kl%A ¼ii½ rUe/;r% dy'ka x`gkH;Urjs f{kIroku~A ¼iii½ v;s! dFka Jhd`".kktquZ kS ;qf/kf"Bj'pA ¼iv½ /;kueXu% fLFkrk izKk ;L; l bo fr"BkfeA 7- v/kksfyf[krokD;s"kq dks"BkUrxZrkuka inkuka izdf` rizR;;kS ;kstf;Rok fy[kr % vFk ¼i½ &&&&&&&&&&&&&&&&&&&&&&&&&&& ¼ozt~ + 'kr`½ rkS ckydku~ iz{s ; vonrke~A ehuku~ Nysu vf/kx`á ¼ii½ &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& ¼Øwj + ry~½ Hk{k;flA vfLeu~ lalkjs Ro;k ln`'k% ¼iii½ &&&&&&&&&&&&&&&&&&&&&&&&& ¼ijkØe + bu~½ ukfLrA v=k 276 1×5 = 5 vusdkfu ¼iv½ &&&&&&&&&&&&&&&&&&&&&&&&&&&& ¼n`'k~ + vuh;j~½ LFkykfu vfi lfUrA dk lq[knk lk/kqtu ¼v½ &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& ¼eS=k + ³hi~½A 8- v/kksfyf[krokD;s"kq fjDrLFkkukfu mfpr&vO;;inS% e×tw"kkinlgk;r;k iwjf;Rok fy[kr % ¼i½ ;kor~ vge~ v=k fr"Bkfe &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& ek xPNA ¼ii½ flagL; vHkkos ous thok% &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& HkzefUrA 1×5 = 5 ¼iii½ &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& dnkfi dk;kZf.k u dq;kZrA~ ¼iv½ o"kkZ;ke~ x`gkn~ &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& ek xPNA ¼v½ v/;kid% m|kus Nk=ke~ vdFk;r~ &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& HkzeA e×tw"kk brLrr%] ek] rkor~] cfg%] lglkA 9- v/kksfyf[krlaokns fjäLFkkukfu okP;kuqlkja iwjf;Rok fy[kr % 1×3 = 3 eksgu% &&& ekyfr! fda Roa izkr% dkys ;ksxkH;kla djksf"k\ ekyrh &&& e;k ;ksxkH;kl% rq u ¼i½ &&&&&&&&&&&&&&&&&&&&&&& ijega lw;uZ eLdkja djksfeA eksgu% &&& lw;uZ eLdkjL; dks ykHk%\ ekyrh &&& ,rsu vLekda cqf)% rhozkA ¼ii½ &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&A eksgu% &&& vke~! vga rq izkr% ,o xk;=kheU=ke~ vfi tikfeA ekyrh &&& ¼iii½ &&&&&&&&&&&&&&&&&&&&&&&& vfi xk;=kheU=k% tI;rs ;r% rsu eu% ifjrq"Va HkofrA 10- v/kksfyf[krk;ka le;lkfj.;ka vøkuka LFkkus laLd`rins"kq le;e~ fy[kr % fo|ky;s okf"kZdksRloL; le;lkfj.kh izkr% ¼i½ 10-00 oknus eq[;kfrFks% vkxeue~A izkr% ¼ii½ 10-30 eq[;kfrFks% Lokxre~A izkr% ¼iii½ 10-45 iz/kkukpk;s.Z k okf"kZd&fooj.kikB%A ukV~;kfHku;% pA e/;kÌs ¼iv½ 12-15 Nk=kS% jk"Vªxkue~A 277 1×4 = 4 11- vøkuka LFkkus laLd`r&la[;kokpd&fo'ks"k.kinkfu iz;qT; mÙkjkf.k fy[krA ½×4 = 2 fo|ky;s n'ked{kk;ka ¼i½ ¼97½ Nk=kk% laLd`rfo"k;s mÙkh.kkZ%A rs"kq ¼ii½ ¼54½ ckfydk% lfUrA izFkes ¼iii½ ¼4½ ckfydk% ¼iv½ ¼3½ ckydk% p laLd`r&vdknE;k% Nk=ko`fÙka yC/koUr%A 1×4 = 4 12- v/kksfyf[krokD;kfu la'kks/; iqu% fy[kr % ¼i½ o`{ks prlz% Qykfu lfUrA ¼ii½ }s ckydkS iBr%A ¼iii½ o;a 'o% izn'kZuha xPNke%A ¼iv½ rs v| Hkkstua dfj";ko%A [k.M% ?k ifBr&vocks/kue~ 35 vøk% 13- v/kksfyf[kra x|ka'ka] i|ka'ka] ukV~;ka'ka p ifBRok iznÙkiz'ukukeqÙkjkf.k fy[kr % ¼v½ x|ka'k% jktk mokp & Hkxou~! HkoUeuksjFka iwjf;Rok vkRekue~ vuqxg` hra drqeZ ~ bPNkfeA vkfn';rke~ & fda djokf.k\ foiz% mokp & ;fn Hkoku~ izhr% rnk RoÙk% ,dL; p{kq"k% nkue~ bPNkfe] ;su ee yksd;k=kk fuckZ/kk HkosrA~ rr~ JqRok jktk vfpUr;r~ & ^^yksds p{kqnkZua nq"djesoA uwue~ bZn'` ka nkue~ bPNu~ v;a ;kpd% dsukfi izfs jr% L;kr~A vFkok Hkorq ukeA fda cgq fpUrusus \** bfr fopk;Z jktk vHkk"kr & ^Hkks fe=k! fdesdus p{kq"kk\ vga Hkors p{kq};Z eso iz;PNkfeA iz'uk% I. ½×4 = 2 ,dinsu mÙkjrA ¼i½ jktk vkRekua dhn`'ka drqfZ ePNfr\ ¼ii½ foizL; dk fuckZ/kk L;kr~\ ¼iii½ yksds fda nq"dje~\ ¼iv½ jktk dLeS p{kq};Z e~ v;PNr~\ II. 1×1 = 1 iw.kZokD;su mÙkjrA jktk foize~ fde~ vHkk"kr\ 278 III. ;Fkkfuns'Z ka mÙkjrA ¼i½ ½×4 = 2 ^izlUu%* &&& vL; lekukFkZda ina fde~\ ¼ii½ ^Hkosr*~ &&& vL;k% fØ;k;k% dr`iZ na fy[krA ¼iii½ ^,dsu* &&& vL; fo'ks";a fde~\ ¼iv½ ^ije~* &&& vL; foykseina fde~\ ¼vk½ i|ka'k% R;DRok /keZinz ka okpa i#"kka ;ks·H;qnhj;srA~ ifjR;T; Qya iDoa Hkq³D~ rs·iDoa foew</kh%A iz'uk% I. 1×2 = 2 ,dinsu mÙkjrA ¼i½ viDoa Qya d% Hkq³D~ rs\ ¼ii½ /keZinz ka okpa R;DRok dke~ vH;qnhj;sr\~ II. 1×1 = 1 iw.kZokD;su mÙkjrA foew</kh% dhn`'ka Qya ifjR;T; viDoa Hkq³Drs\ III. ;Fkkfuns'Z ke~ mÙkjrA ¼i½ ½×4 = 2 vfLeu~ 'yksds fda ine~ vU;L; foyksee~\ ¼ii½ ^Hkq³D~ rs* &&& vL;k% fØ;k;k% dr`iZ na fde~\ ¼iii½ vfLeu~ 'yksds fda ine~ vU;L; i;kZ;%\ ¼iv½ ^/keZinz ke~* &&& vL; fo'ks";a fde~\ ¼b½ ukV~;ka'k% i;ZVukf/kdkjh &&& vke~ ! ,rr~ fnokax&miR;dke.Mys fLFkra Hkh"eduxjnqxeZ A~ vL; vo'ks"kk% rq vk;Z&dyklaLd`fr&lEin% ifjpk;dk%A v/kquk bna fp=ka i';rA 'kSy's k% &&& vga tkukfe bna LFkkue~A bna rq ^rokúxksEik* bfr izfl)% eB%A i;ZVukf/kdkjh &&& lE;d~ vfHkKkre~A euksgjs lqjE;s ^rokú* bfr LFkys jktrs v;a ckS)eB%A i×p'krkuka ckS)fHk{kw.kka fuokl;ksX;k LFkyh b;e~A ykSfgrtuins vfi vusdckS)fogkjk% lfUrA 279 uhfyek &&& ekU;oj ! e;k vL; iz n s ' kL; ij'kq j kedq . Me~ bfr n'kZuh;LFkyfo"k;s vfi ifBre~A iz'uk% I. ½×4 = 2 ,dinsu mÙkjrA ¼i½ fnokax&miR;dke.Mys fda fLFkre~\ ¼ii½ izfl)eBL; fda uke\ ¼iii½ vusdckS)fogkjk% dq=k lfUr\ ¼iv½ uhfye;k fda ukEu% n'kZuh;LFkyL; fo"k;s ifBre~\ II. 1×1 = 1 iw.kZokD;su mÙkjrA b;a LFkyh ds"kka fuokl;ksX;k\ III. ;Fkkfuns'Z ka mÙkjrA ¼i½ ½×4 = 2 ^mfpre~* &&& vL; d% i;kZ;%\ ¼ii½ ^euksgjs* &&& vL; fo'ks";a fde~\ ¼iii½ ^tkukfe* &&& vL;k% fØ;k;k% dr`iZ na fde~\ ¼iv½ ^LFkyh* &&& vL;k% fda fo'ks"k.ke~ v=k iz;Dq re~\ 14- v/kksfyf[kri|};L; HkkokFkZe~ mi;qäinS% iwjf;Rok iqu% fy[kr % ¼v½ vkpkj% izFkeks /keZ% bR;srn~ fonq"kka op%A rLekn~ j{ksr~ lnkpkja izk.ksH;ks·fi fo'ks"kr%A HkkokFkZ% fo}kal% O;kogkfjdthouL; ¼i½ &&&&&&&&&&&&&&&&&&&&&&&&&&&& dFk;fUr ;r~ ¼ii½ &&&&&&&&&&&&&&&&&&&&&&&& ekuoL; eq[;% /keZ% vfLrA vr% izk.kkuke~ vis{k;k vfi ekuo% ¼iii½ &&&&&&&&&&&&&&&&&&&&&&&&&&&&& j{ksrA~ ¼vk½ tyfcUnqfuikrsu Øe'k% iw;rZ s ?kV%A l gsr%q loZfo|kuka /keZL; p /kuL; pAA HkkokFkZ% vfLeu~ 'yksds ,da fe=ke~ vije~ mifn'kfr &&&& ;Fkk ,d% dy'k% ¼i½ &&&&&&&&&&&&&&&&&&& tyfcUnwuka irusu iw.kZ% Hkofr rFkk ¼ii½ &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& ,o lokZlka fo|kuka izkIrkS ¼iii½ &&&&&&&&&&&&&&&&&&&&&& ykHks p eq[;a dkj.ka HkofrA 280 3+3 = 6 15- v/kksfyf[kri|};L; vUo;;ks% fjäLFkkukfu iwjf;Rok iqu% fy[kr % 1½×1½ = 3 ¼v½ u rFkk 'khrylfyya u pUnujlks u 'khryk Nk;kA izËkn;fr p iq#"ka ;Fkk e/kqjHkkf"k.kh ok.khAA vUo;% u 'khrylfyya u ¼i½ &&&&&&&&&&&&&&&&&&&& u 'khryk Nk;k iq#"ka ¼ii½ &&&&&&&&&&&&&&&&&&&& izËkn;fr ;Fkk ¼iii½ &&&&&&&&&&&&&&&&&&&&& ok.khA ¼vk½ izkfFkZra rs e;k pØa nsonkuoiwftre~A vts;% L;kfefr foHkks ! lR;esrn~ czohfe rsAA vUo;% foHkks ! ¼i½ &&&&&&&&&&&&&&&&&& L;ke~ bfr e;k nsonkuoiwftre~ ¼ii½ &&&&&&&&&&&&&&&&&&&&&& rs izkfFkZre~A ,rr~ rs ¼iii½ &&&&&&&&&&&&&&&&&&&&&&&&&& czohfeA 1×4 = 4 16- js[kkførinkfu vk/k`R; iz'ufuekZ.ka dq#rA ¼i½ vU;fLeu~ vgfu l es"kks egkula izfo'kfrA ¼ii½ rL;kga fuxzga eU;s ok;ksfjo lqnq"dje~A ¼iii½ ee fiPNkuke~ viwo± lkSUn;ZeA~ ¼iv½ fd;rh izkphuk b;a l`f"V%\ 17- ?kVukØekuqlkje~ v/kksfyf[krokD;kfu iqu% fy[kr % ¼i½ vjs ;L; x`gL;ksifj vge~ vkyikfe] tuk% fiz;L; vkxeuløsra eRok izlhnfUrA ¼ii½ vLekde~ ,sD;a rq txRizfl)e~A ¼iii½ vge~ rq ,rkn`'k% lR;oknh ;r~ ekrj% f'k'kwu~ dFk;fUrA ¼iv½ loZFkk tkx:dks·ga Nk=kk.kka d`rs vkn'kZ%A ¼v½ vgks vKkua HkoR;k%A ¼vi½ vu`ra onfl psr~ dkd% n'ksrA~ ¼vii½ fda Hkofn~Hk% Jqra dkdps"Vk cd/;kue~ bfr\ ¼viii½ jktgalh dkda dFk;fr &&& Roa rq dVq Do.kflA 281 ½×8 = 4 1×3 = 3 18- izl³~xkuqlkja 'kq)e~ vFkZa fpRok fy[krA ¼I½ U;k¸;s ifFk n`"Vkn`"VykHkk<~;As ¼i½ ekxsZ ¼ii½ 'k;us ¼iii½ jk=kkS ¼II½ ;% lks<qa izkd~ 'kjhjfoeks{k.kkr~A ¼i½ iwo± ¼ii½ i'pkr~ ¼iii½ vUrs ¼III½ l lO;su ikf.kuk pØa x`ghroku~A ¼i½ nf{k.ksu ¼ii½ iwosZ.k ¼iii½ okesu 282 vad ;kstuk & laLÑre~ ¼lEis"z k.kk/kkfjre~½ fu/kkZfjr le; % 3 ?k.Vs vf/kdre vad % 100 /;krO;e~ vuqPNsn vFkok 'yksdksa ij vk/kkfjr iz'u vocks/kukRed gSAa fo|kFkhZ vuqPNsn esa fn, x, 'kCnksa ds LFkku ij i;kZ;okph 'kCnksa dk iz;ksx Hkh dj ldrs gSa blds fy, Hkh vad fn, tk,¡A fo|kFkhZ mÙkj nsrs le; mi;qä foHkfä vFkok opu dk iz;ksx ugha djrs rks va'kr% vad dkVs tk,¡ lai.w kZ ughaA =kqfViw.kZ orZuh vFkok O;kdj.kkRed iz;ksxksa ds fy, vuqikrr% vad dkVs tk,¡ u fd iwjs vadA vkaf'kd n`f"V ls lgh mÙkjksa ds fy, va'kr% vad vo'; fn, tk,¡A [k.M % ^[k* ¼jpukRed&dk;Ze~ ½ ds vUrxZr ^fp=k o.kZu* o vuqPNsn ys[ku* esa fodYi le>k tk,A cPpksa us tks Hkkx Hkh fd;k gks vad fn;k tk,A okD; lajpuk izeq[k gS u fd okD; dk lkSna ;Z rÙoA vkaf'kd okD; 'kq)rk ds fy, Hkh vad fn, tk,¡A fdlh Hkh iz'u ds fodYikRed mÙkj Hkh gks ldrs gSAa bl vad ;kstuk esa fn, x, mÙkj fun'kZukRed gSA muds vfrfjDr Hkh lgh mÙkj gks ldrs gSa vr% vad fn, tk,¡A iz'u i=k la[;k 52@1 15 vøk% [k.M% ^d* ¼vifBr & vocks/kue~½ k I ekpdona ]<art ¹ dao izSna .iz%yaok Baaga ko ilae ½ AMk. (i) II III #a I ramaayaNaoÀsaMskRtBaaYaayaama\Àsvamahakavyao (ii) BavaBaUto: ÀBavaBaUit:. pUNa-vaa@yaona ]<art ¹ dao izSna . iz%yaok Baaga ko ilae ek AMk. (i) . ºººº mayaa-dapuÉYaao<amasyaÀcairtsya karNaat\ÀAsyaÀramasya ºººº. (ii) . ºººº lao#aka:Àmahakvaya: ÀnaaTkkara: ÀEaIramasyaÀAsya ÀEaIramasyaÀAsyaºººº. yaqaainado-Sama\ ]<art ¹ caar izSna .iz%yaok Baaga ko ilae ½ AMk. (i) 1x2 = 2 ½x4 = 2 BavaBaUit: (ii) AnaGaO-: (iii) AlaaOikkma\ (iv) laaOikka:ÀsaaMsaairka:. ekpdona ]<art ¹ caar izSna .iz%yaok ko ilae ½ AMk. (i) ½x2 = 1 daSa-inak: (ii) AQa-haoranantrma\ (iii) saËaoQama ama\ (iv) AiQakma\. 283 ½x4 = 2 II pUNa-vaa@yaona ]<art ¹ dao izSna .iz%yaok ko ilae dao AMk. III (i) ºººº tva banQau: tu AiQakmaova ºººº. (ii) . ºººº Ahao kIdRSama\ ºººº. yaqaainado-Sama\ ]<art ¹ caar izSna .iz%yaok ko ilae ½ AMk. (i) ½x4 = 2 manaaomaaohkaina (ii) ima~aya ³ivaVaqaI- catuqaI- ivaBai> ko ibanaa BaI ]<ar ila#a sakto hOM AMk ide jaaeÐ ´ (iii) IV 2x2 = 4 sa:À ima~M (iv) saundraiNa. SaIYa-kM ila#at ‘daSa-inak:’ À ‘caInadoSasya daSa-inak:’ Aqavaa Anya ]pyau> SaIYa- k . 1x2 = 2 SaIYa-k kI Sabd saImaa inaQaa-irt nahIM hO .Baava spYT haonaa AinavaayahO.SaIYa-k ek laGau vaa@ya maoM BaI hao sakta hO. KND: ‘#a’ #a’ (rcanaa%makM rcanaa%makM kaya-ma\ ) 2 p~lao#anama\ ¹ dsa ir>sqaana.iz%yaokBaaga ko ilae ½ AMk. (i) saunand² (ii) (vi) izsannaa: sannaa: (vii) 3 4 nama: (iii) gaz amao amao (iv) ½x10 = 5 pHcaivaMSa%yaama\ (v) gaz amaINaa: amaINaa: Aat-vaanaama\ (viii) icaik%saayaO (ix) samayasya (x) sau)t\. saMvaad¹lao#anama\ ¹ 5 ir>sqaana .iz%yaokBaaga ko ilae 1 AMk.pUra vaa@ya na ila#anao pr BaI AMk ide jaaeÐ. (i) saPtah evaºººººº (ii) pTnaat: (iii) (iv) AvaSyama\ººººººº (v) [-Svar: ººººººº. maata Aip ººººººº. 1x5 = 5 2x5 = 10 ica~vaNa-nama\ Aqavaa AnaucCodlao#anama anama\ kovala vaa@ya kI Sauwta do#aI jaae.[sa izSna ka izmau#a ]_oSya vaa@ya rcanaa hO.vaa@ya laGau Aqavaa dIGa- hao yah mah%vapUNa- nahIM . vaa@ya AalaMkairk hO yaa nahIM¹yah BaI mah%vaPaUNa- nahIM .vyaakriNak dRiYT sao Sauw haonao pr pUNa- AMk ide jaaeÐ .maMmaMjaUYaa maoM ide gae Sabd sahayataqa- hOMÊ baccao Sabd caunao Aqavaa nahIM ¹AavaSyak nahIM .vao svayaM SabdaoM ka izyaao yaaoga kr vaa@ya ¹inamaa-Na kr sakto hOM. baccao svayaM BaI maMjaUYaa maoM ide gae SabdaoM kI ivaBai>yaaÐ Aaid BaI badla sakto hOM At: AMk ide jaaeÐ.~uiTyaaoM ko AMk AMSat: kaTo jaaeÐ.[sa izSna ko 10 AMk hOM. iz%yaok vaa@ya ko ilae 2 AMk hOM. 284 Aqavaa AnaucCodlao#anama\ yah ivaklp sabako ilae maanaa jaae.baccao svayaM BaI maMjaUYaa maoM ide gae SabdaoM kI ivaBai>yaaÐ Aaid badla sakto hOM.AMk ide jaaeÐ.[sa izSna ko 10 AMk hOM.iz%yaok vaa@ya ko ilae 2 AMk hO. M KND: ‘ga’ ga’ (Anau Anaup`yau> ¹ vyaakrNama\ ) 5 6 saMiQa¹saMiQacCod ¹AaMiSak dRiYT sao sahI ]<ar ko ilae AaMiSak AMk AvaSya ide jaaeÐ. (i) ABaIYTaina (ii) paipnaaHcaÀpaipnaaM caca. . (iii) ivaVmaana: AsyaÀivaVmaanaao +Asya . ivaVmaana:+AsyaÀivaVmaanaao Asya. samaasa ¹ [sa izSna ka maUla ]_oSya ‘samastpd’ Aqavaa ‘ivagazh’ kI samaJa hO.iz%yaok ko ilae ek AMk hO. AaMiSak sahI ]<ar ko ilae BaI AaMiSak AMk ide jaaeÐ. (i) naIlama\ ]%plama\ À naIlama\ ca tt\ ]%plama\ (iii) iz cCnnaBaagya:À cCnnaBaagya:ÀizcCnnaBaagya cCnnaBaagya (iv) 7 (ii) vaIraNaaM jananaIÀvaIrsya jananaI . jananaI. izkR kiR t ¹iz%yaya %yaya ¹ saMbaMQaI [sa izSna maoM baccao kovala ]<ar ila#a sakto hOM.At: pUNa- AMk (i) 9 1x4 = 4 sava-daa. . ide jaaeÐ.]<ar ivaklpa%mak hao sakto hOM.AaMiSak sahI ]<ar ko ilae AaMiSak AMk ide jaaeÐ.iz%yaok Baaga ko ilae 1 AMk. kovala iz%yaya %yaya jaaoD,nao pr BaI AMk ide jaaeÐ . 8 1x3 = 3 1x5 = 5 IdRSaI (ii) [cCna\ (iii) ËUrtyaa (iv) rmaNaIyaa (v) dSa-naIyaaina . kIdR aIyaaina. Avyaya ¹ [sa izSna maoM vaa@ya inamaa-Na kI Aaor Qyaana doto hue kRpyaa pUNa- AMk doM.]<ar ivaklpa%mak hao sakto hOM.AaMiSak sahI ]<ar ko ilae AaMiSak AMk ide jaaeÐ.pdaoM kI punaravaRi<a BaI hao saktI hO. vaa@yaaoM kI rcanaa iBanna¹iBanna hao saktI hO. ‘to ivaValayaM gacCint AQaunaa’ Aqavaa ‘to AQaunaa ivaValayaM gacCint’ jaOsaa p`yaaoga kr sakto hOM.iz%yaokBaaga ko ilae 1 AMk. k<aa- Avyaya va iËyaa haonaa mah%vapUNa- hO. 1x5 = 5 [sa izSna maoM iz%yaok ir>sqaana ko ilae ek AMk hO.Baavaanausaar sahI haonao pr AMk ide jaaeÐ. 1x3 = 3 (i) ila#yato la#yato (ii) %vayaa (iii) &ayato. 10 samaya samaya¹saMsaMbaMQaI [sa izSna maoM vat-naI Aqavaa samastpd kI Aaor Qyaana na idyaa jaae.AaMiSak sahI haonao pr BaI AaMiSak AMk ide jaaeÐ. 285 1x4 = 4 (i) (ii) padaona-- d S a (iii) sapad- d SSaa saaQa- - d Sa (iv) i~ . i~. yaid baccao vaadnao Sabd ka izyaaoga nahI krto hOM tao [sa Aaor Qyaana nahIM idyaa jaae. 1 1 saM#yaa yaa¹saMsaMbaMQaI [sa izSna maoM vat-naI Aqavaa samastpd kI Aaor Qyaana na idyaa jaae.AaMiSak sahI haonao pr BaI AaMiSak AMk ide jaaeÐ. (i) (ii) ivaMSait: pHcadSa (iii) (iv) ~ya: Wo. 1 2 vaa@ya vaa@ya¹saMsaMbaMQaI [sa izSna maoM baccao kovala ]<ar ila#a sakto hOM.pUNa- AMk ide jaaeÐ .AaMiSak sahI haonao pr BaI AaMiSak AMk ide jaaeÐ.vaa@ya kI Sauwta izmau#a hO lakar Aaid nahIM. (i) AiBanayaintÀAiBanayat: (ii) taOÀto (iii) ½x4 = 2 1x4 = 4 Akraot\ (iv) BaivaYyaama: . BaivaYyaama:. KND: ‘Ga’ Ga’ (pizt¹Avabaao pizt¹AvabaaoQanama\ ) 13 [sa izSna ka maUla ]_oSya AvabaaoQana prIxaNa hO .baccao pyaa-yavaacaI SabdaoM ka izyaaoga kr sakto hOM.pUNa- AMk ide jaaeÐ. AaMiSak sahI haonao pr BaI AaMiSak AMk ide jaaeÐ. ³A´ gaVaM S a: I ekpdona ]<art ¹ caar izSna .iz%yaok ko ilae ½ AMk. (i) (iii) II QanalaaBaonaÀQanalaaBamaa~oNaÀbahuQanalaaBamaa~ (ii) A=\gaaina . aaina. danavaIra: (iv) vyaakulama\. 1x1 = 1 pUNa-vaa@yaona ]<art ¹ ek izSna ko ilae ek AMk. (i) III ½x4 = 2 santaoYaaMºººº. . ºººº mama Aiqa-na: ººººsantao yaqaainado-Sama\ ]<art ¹ caar izSna. iz%yaok ko ilae ½ AMk. (i) Aiqa-na: (ii) (iii) Aiqa-na: santuYTanaama\ ½x4 = 2 (iv) laaBa: . laaBa:. VaM S a: ³Aa´ pVaM I ekpdona ]<art ¹ dao izSna. iz%yaok ko ilae 1 AMk. (i) II xaNama\ ÀxaNamaokM (ii) 1x2 = 2 xaNama\ÀxaNa: . xaNa:. pUNa-vaa@yaona ]<art ¹ ek izSna ko ilae ek AMk. 1x1 = 1 ºººº tt: AiQaka ººº. III yaqaainado-Sama\ ]<art ¹ caar izSna. iz%yaok ko ilae ½ AMk. ka (iv) naIt:ÀlaBya:. (i) AayauYa: (ii) inarqa-kma\ (iii) AiQa AiQaka 286 ½x4 = 2 ³[´ naaT\ y aaM S a: I II ekpdona ]<art ¹ caar izSna .iz%yaok ko ilae ½ AMk. (i) %va<a:ÀEaIkRYNaat\ (ii) paiNanaaÀpaiNaÀsavyaona paiNanaa. (iii) yauiQaiYzr: (iv) (i) (ii) II 16 ÊcaËM ºººººº. . sa:ÀnzaOaiO Na: (ii) idvyaaM (iii) savyaona (iv) ½x4 = 2 gaRhaNa. Baava¹saMbaMQaI [sa izSna maoM baccao Slaaok maoM sao ]<ar cauna sakto hOM Aqavaa pyaa-yavaacaI SabdaoM ka izyaaoga kr sakto hOM.pUNa- AMk ide jaaeÐ.baccao kovala ]<ar ila#a sakto hoM. I 15 1x1 = 1 yaqaainado-Sama\ ]<art ¹ caar izSna. iz%yaok ko ilae ½ AMk. (i) 14 ÀnzaoaNo apu~:ÀnzaOaiO Na:. sa:À ÀASva%qaamaaÀ pUNa-vaa@yaona ]<art ¹ ek izSna ko ilae ek AMk. gadaM (i)ººººººººgadaM III ½x4 = 2 1x6 = 6 vasantoÀvasantsamayao Aqavaa imalata jaulata Sabd. Baod: Aqavaa imalata jaulata Sabd (iii) kRYNa: Aqavaa imalata jaulata Sabd. (i) laaokoÀsaMsaaroÀjagait Aqavaa imalata jaulata Sabd. (ii) caxauYmant:Ànao~vant: ÀizkIitkIit-t: Aqavaa imalata jaulata Sabd. (iii) naamanaIÀcaxaunaa-manaIÀvaRqaa Aqavaa imalata jaulata Sabd. Anvaya¹saMbaMQaI [sa izSna maoM baccao Slaaok maoM sao ]<ar cauna sakto hOM.baccao kovala ]<ar ila#a sakto hoOM. I (i) ihtM II (i) pUÉYa: (ii) (ii) ivaprItaopsaoivana: (iii) irpva:. ½x6 = 3 (iii) izyau yau>:. inayaaoijat: iSnainamaazSnainamaa-Na¹saMbaMQaI [sa izSna maoM baccao kovala izSnavaacak Sabd ila#a sakto hOM.vyaakrNa vat-naI Aaid kI dRiYT sao Anaupatt: AMk kaTo jaaeÐ na ik pUNa-.[sa izSna maoM AvabaaoQanaizmau#a hO tqaa ivaklpa%mak ]<ar hao sakto hOM. (i) kIdRSa:Àk: (ii) kismana\Àkda (iii) ksya (iv) k:Àikma\. 17 kqaaËma ¹saMbaMQaI [sa izSna ko ]<ar maoM vaa@yaaoM maoM taik-k saMbaMQa hao.izSna baaoQaa%mak hMO smaRit AaQaairt nahIM.kovala vaa@yaËma ila#anao pr BaI AMk ide jaaeÐ.vat-naI Aaid nzYTvya nahIM.Qyaana r#aoM naIcao idyaa gayaa Ëma kovala inadoSaa%mak hO . 287 1x4 = 4 ½x8 = 4 ³2´  → ³4´  → ³6´  → ³3´ → ³7´  ³8´  → ³1´  → ³5´ yah saamaanya Ëma hO.Anya taik-k Ëma haonao pr BaI AMk ide jaaeÐ.AaMiSak ]<ar ko ilae BaI AMk ide jaaeÐ. 18 Sabdaqa- ¹saMbaMQaI [sa izSna maoM baccao kovala ËmasaM#yaa ila#a sakto hOM AMk ide jaaeÐ.vat-naI Aaid kI dRiYT sao AMk AMSat: hI kaTo jaaeÐ. (i) ho y ama\ %yaajyama\ (ii) Anau j aanaatu Aa&aM doih (iii) AÉNasya r>sya (iv) Saarda sarsvatI (v) caot\ yaid (vi) manasaa cao t saa. 1x3 = 3 iz'u i=k la[;k 52 [k.M% ^d* ¼vifBr & vocks/kue~½ A I ekpdona ]<art ¹ dao izSna .iz%yaok Baaga ko ilae ½ AMk. (i) II mahakavyaaina dSa. 1x2 = 2 pUNa-vaa@yaona ]<art ¹ dao izSna . iz%yaok Baaga ko ilae ek AMk. (i) . ºººº gaVsya izkarO karO: ºººº ila#aint ºººº. (ii) III (ii) ½x2 = 1 . ºººº Cndao&anama\ ºººº. yaqaainado-Sama\ ]<art ¹ caar izSna .iz%yaok Baaga ko ilae ½ AMk. ½x4 = 2 (i) gaaOrvama\ÀgaaOrvaainvatma\ (iv) lao#aka:Àkavyalao#akoBya:ÀgaVkara:ÀgaVkaroBya:. kavyalao (ii) rcanaanaama\ (iii) baccao catuqaI- ivaBai> na BaI ila#aoM tba BaI AMk ide jaaeÐ 288 lao#aka:. Aa I ekpdona ]<art ¹ caar izSna. iz%yaok ko ilae ½ AMk. (i) II IV maRi%PaNDma\ (iii) maRi<akayaa: (iv) saMkaocama\. 2x2 = 4 pUNa-vaa@yaona ]<art ¹ dao izSna. iz%yaok ko ilae dao AMk. (i) III (ii) vaOdoiSak: ½x4 = 2 . ºººº pUjaagaRho ºººº (ii) ºººº ett\ maRi<pNDma\ ºººº. yaqaainado-Sama\ ]<art ¹ caar izSna. iz%yaok ko ilae ½ AMk. (i) BaartIyaa: (iii) ivaVmaanama\ (ii) ½x4 = 2 vaOdoiSak:ÀvaOdoiSakayaÀAitqayao. (iv) iztIkma\ tIkma\. SaIYa-kM ila#at‘raYT/ ‘raYT/pit: rajaond`p`saad:’ ‘[-Svarsya sa<aa’ Aaid sao imalato jaulato ]pyau> SaIYa-k. 1x2 = 2 SaIYa- k kI Sabd saImaa inaQaa- i rt nahIM hO .Baava spYT hao n aa AinavaayahO.SaIYa-k ek laGau vaa@ya maoM BaI hao sakta hO. KND: ‘#a’ #a’ (rcanaa%makM rcanaa%makM kaya-ma\ ) 2 p~lao#anama\ ¹ dsa ir>sqaana .iz%yaokBaaga ko ilae ½ AMk. (i) iptRcarNaa: (vi) SauBama\ (x) 3 (iii) kuSailana: (iv) izaqasamaacaar::. aqa-yao (v) samaacaar ivajayaI (viii) pairtaoYama\ (ix) izityaao ityaaoigata. vaSaMvad:ÀvaMSavad:. saMvaad¹lao#anama\ ¹ 5 ir>sqaana .iz%yaokBaaga ko ilae 1 AMk.pUra vaa@ya na ila#anao pr BaI AMk ide jaaeÐ. (i) 4 (vii) (ii) izNaamaa: Naamaa: ½x10 = 5 maOT/aoyaanaona (ii) AgacC: (iii) mayaa (iv) ivaValaya: (v) Aavaama\. 1x5 = 5 2x5 = 10 ica~vaNa-nama\ Aqavaa AnaucCodlao#anama anama\ kovala vaa@ya kI Sauwta do#aI jaae.[sa izSna ka izmau#a ]_oSya vaa@ya rcanaa hO.vaa@ya laGau Aqavaa dIGa- hao yah mah%vapUNa- nahIM . vaa@ya AalaMkairk hO yaa nahIM¹yah BaI mah%vaPaUNa- nahIM .vyaakriNak dRiYT sao Sauw haonao pr pUNa- AMk ide jaaeÐ .maMmaMjaUYaa maoM ide gae Sabd sahayataqa- hOMÊ baccao Sabd caunaoM Aqavaa nahIM ¹AavaSyak nahIM .vao svayaM vaa@ya ¹inamaa-Na kr sakto hOM. baccao maMjaUYaa maoM ide gae SabdaoM kI ivaBai>yaaÐ Aaid BaI badla sakto hOM At: AMk ide jaaeÐ.~uiTyaaoM ko AMk AMSat: kaTo jaaeÐ.[sa izSna ko 10 AMk hOM. iz%yaok vaa@ya ko ilae 2 AMk hOM. 289 Aqavaa AnaucCodlao#anama\ yah ivaklp sabako ilae maanaa jaae.baccao svayaM BaI maMjaUYaa maoM ide gae SabdaoM kI ivaBai>yaaÐ Aaid badla sakto hO. M AMk ide jaaeÐ.[sa izSna ko 10 AMk hO. M iz%yaok vaa@ya ko ilae 2 AMk hOM. KND: ‘ga’ ga’ (Anau Anaup`yau> ¹ vyaakrNama\ ) 5 6 saMiQa¹saMiQacCod ¹AaMiSak dRiYT sao sahI ]<ar ko ilae AaMiSak AMk AvaSya ide jaaeÐ. (i) inaQana ekÀekinaYzma\ inaQana+ekÀekinaYzma\ (iii) ivavao k ::+[tIirt:Àivavao [tIirt:Àivavao k ::+[it [it [itÀ[it [it+[-[- i rt:Àivavao k ::+[itÀ[it [itÀ[it+[-[- i rt:. (ii) kuyaa-dihtM. samaasa ¹ [sa izSna ka maUla ]_oSya ‘samastpd’ Aqavaa ‘ivagazh’ kI samaJa hO.iz%yaok ko ilae ek AMk hO. 1x4 = 4 AaMiSak sahI ]<ar ko ilae BaI AaMiSak AMk ide jaaeÐ. 7 (i) na AByaasa: (iii) EaIkRYNa:ca Ajau-na: caÀEaIkRYNa: Ajau-na: ca (iv) isqatiz&:Àisqat &:Àisqatiz&. &. (ii) gaRhsyaÀgaRhaNaaM AByantro. izkR kiR t ¹iz%yaya %yaya ¹ saMbaMQaI [sa izSna maoM baccao kovala ]<ar ila#a sakto hOM.At: pUNa- AMk ide jaaeÐ.]<ar ivaklpa%mak hao sakto hOM.AaMiSak sahI ]<ar ko ilae AaMiSak AMk ide jaaeÐ.iz%yaok ko ilae 1 AMk. kovala iz%yaya %yaya jaaoD,nao pr BaI ½ AMk ide jaaeÐ. (i) ozjantaO zjantaO 8 9 1x3 = 3 (ii) ËUrtyaa (iii) praËmaI (iv) dSa-naIyaaina (v) maO~I. Avyaya ¹ [sa izSna maoM vaa@ya inamaa-Na kI Aaor Qyaana doto hue kRpyaa pUNa- AMk doM.]<ar ivaklpa%mak hao sakto hOM.AaMiSak sahI ]<ar ko ilae AaMiSak AMk ide jaaeÐ.pdaoM kI punaravaRi<a BaI hao saktI hO. vaa@yaaoM kI rcanaa iBanna¹iBanna hao saktI hO. iz%yaok vaa@ya ko ilae 1 AMk. (i) tavat\ À[tstt:ÀsahsaaÀbaih: (ii) [tstt:ÀsahsaaÀbaih:. (iii) sahsaaÀbaih: (iv) [tstt:ÀsahsaaÀbaih: (v) [tstt: ÀmaaÀsahsaaÀbaih:. [sa izSna maoM iz%yaok ir>sqaana ko ilae ek AMk hO.Baavaanausaar sahI haonao pr AMk ide jaaeÐ. (i) 1x5 = 5 iËyato Ëyato (ii) kuC BaI ]<ar ila#anao pr AMk ide jaaeÐ 290 (iii) mayaa. 1x5 = 5 1x3 = 3 10 samaya samaya¹saMsaMbaMQaI [sa izSna maoM vat-naI Aqavaa samastpd kI Aaor Qyaana na idyaa jaae.AaMiSak sahI haonao pr BaI AaMiSak AMk ide jaaeÐ. (i) dSa (ii) (iii) saaQa- - d Sa padaona-ekadSa (iv) 1x4 = 4 sapad- W adSa . adSa. yaid baccao vaadnao Sabd ka izyaaoga nahI krto hOM tao [sa Aaor Qyaana nahIM idyaa jaae. 1 1 saM#yaa yaa¹saMsaMbaMQaI [sa izSna maoM vat-naI Aqavaa samastpd kI Aaor Qyaana na idyaa jaae.AaMiSak sahI haonao pr BaI AaMiSak AMk ide jaaeÐ. (i) saPtnavait: (ii) catu:pHcaaSat\ (iii) cat . cató:: (iv) ~ya: ~ya:. 1 2 vaa@ya vaa@ya¹saMsaMbaMQaI [sa izSna maoM baccao kovala ]<ar ila#a sakto hOM.pUNa- AMk ide jaaeÐ.AaMiSak sahI haonao pr BaI AaMiSak AMk ide jaaeÐ.vaa@ya kI Sauwta izmau#a hO lakar Aaid nahIM. (i) ½x4 = 2 1x4 = 4 ca%vaair (ii) WaO (iii) gaimaYyaama: (iv) kirYyaintÀkirYyat:Àkuva-intÀkuÉtt::. KND: ‘Ga’ Ga’ (pizt¹Abaao pizt¹AbaaoQanama\ ) 13 [sa izSna ka maUla ]_oSya AvabaaoQana prIxaNa hO .baccao pyaa-yavaacaI SabdaoM ka izyaaoga kr sakto hOM.pUNa- AMk ide jaaeÐ. AaMiSak sahI haonao pr BaI AaMiSak AMk ide jaaeÐ. ½x4 = 2 ³A´ gaVaM S a: I ekpdona ]<art ¹ caar izSna. iz%yaok ko ilae ½ AMk. (i) AnaugaRhItma\ (ii) laaokyaa~a . yaa~a. (iii) II pUNa-vaa@yaona ]<art ¹ ek izSna ko ilae ek AMk. (i) III caxauda-nama\ (iv) yaacakayaÀSaËayaÀivaizayaÀ aya. ayaÀc za*maNaayaÀ[n a*maNaayaÀ[nnz zaya aya. ºººº Baao ima~ ima~ººººizyacCaima Aqavaa ºººº Bagavana\ººººkrvaaiNa. yaqaainado-Sama\ ]<art ¹ caar izSna. iz%yaok ko ilae ½ AMk. (i) izIt: It: (ii) (iii) laaokyaa~a 1x1 = 1 ½x4 = 2 caxauYaa (iv) Aa%maanama\ÀAprma\. VaM S a: ³Aa´ pVaM I ekpdona ]<art ¹ dao izSna .iz%yaok ko ilae 1 AMk. (i) II ivamaUZQaI: (ii) 1x2 = 2 pÉYaama\. pUNa-vaa@yaona ]<art ¹ ek izSna ko ilae ek AMk. . ºººº p@vama\ ººº. 291 1x1 = 1 III yaqaainado-Sama\ ]<art ¹ caar izSna .iz%yaok ko ilae ½ AMk. ½x4 = 2 p@vama\ Ap@vama\ (ii) ivamaUZQaI:Àya: (iii) %ya@%vaa pir%yajya (iv) vaacama\. (i) ³[´ naaT\ y aaM S a: I ekpdona ]<art ¹ caar izSna .iz%yaok ko ilae ½ AMk. ½x4 = 2 BaIYmaknagarduga-ma\ (ii) tvaa=\ga gaaompa (iii) laaoihtjanapdo (iv) prSauramakuNDma\. (i) II pUNa-vaa@yaona ]<art ¹ ek izSna ko ilae ek AMk. (i) III 1x1 = 1 . ººººººººpHcaSatanaaM pHcaSatanaaM baaOwiBaxaUNaaM ºººººº. yaqaainado-Sama\ ]<art ¹ caar izSna .iz%yaok ko ilae ½ AMk. ½x4 = 2 samyak\ (ii) sqalaoÀtvaa=\gagaaompa (iii) Ahma\. (iv) inavaasayaao g yaaÀ[yama\. (i) 14 Baava¹saMbaMQaI [sa izSna maoM baccao Slaaok maoM sao ]<ar cauna sakto hOM Aqavaa pyaa-yavaacaI SabdaoM ka izyaaoga kr sakto hOM.pUNa- AMk ide jaaeÐ.baccao kovala ]<ar ila#a sakto hoM. I II 15 16 (i) ivaYayao Aqavaa imalata jaulata Sabd (ii) Aacaar: Aqavaa imalata jaulata Sabd. (iii) sadacaarM Aqavaa imalata jaulata Sabd. 1x6 = 6 (i) ËmaSa: Aqavaa imalata jaulata Sabd (ii) AByaasa:Àsa: Aqavaa imalata jaulata Sabd. (iii) Qanasya ÀQama-syaÀQanaQama-yaao: ÀQama-Qanayaao: Aqavaa imalata jaulata Sabd. Anvaya¹saMbaMQaI [sa izSna maoM baccao Slaaok maoM sao ]<ar cauna sakto hOM.baccao kovala ]<ar ila#a sakto hoM. I (i) II (i) candnarsa: (ii) tqaa (iii) maQaurBaaiYaNaI . BaaiYaNaI. Ajaoya: (ii) caËma\ (iii) sa%yama\. ½x6 = 3 izSnainamaaSnainamaa-Na ¹saMbaMQaI [sa izSna maoM baccao kovala izSnavaacak Sabd ila#a sakto hOM.vyaakrNa vat-naI Aaid kI dRiYT sao Anaupatt: AMk kaTo jaaeÐ na ik pUNa-.[sa izSna maoM AvabaaoQana izmau#a 1x4 = 4 hO tqaa ivaklpa%mak ]<ar hao sakto hOM. 292 (i) kdaÀkismana\ (ii) ikma\Àkma\ (iii) koYaama\ (iv) kIdRSaIÀka kuC BaI ]<ar ila#anao pr AMk ide jaaeÐ. 17 kqaaËma ¹saMbaMQaI [sa izSna ko ]<ar maoM vaa@yaaoM maoM taik-k saMbaMQa hao.izSna baaoQaa%mak hO smaRit AaQaairt nahIM.kovala vaa@yaËma ila#anao pr BaI AMk ide jaaeÐ.vat-naI Aaid nzYTvya nahIM.Qyaana r#aoM naIcao idyaa gayaa Ëma kovala inadoSaa%mak hO [sako Aitir> Anya taik-k Ëma ila#anao pr BaI AMk ide jaaeÐ. ³3´  → ³6´  → ³4´  → ³7´ ³2´  → ³5´  → ³8´  → ³1´ ½x8 = 4 yah saamaanya Ëma hO.Anya taik-k Ëma haonao pr BaI AMk ide jaaeÐ.AaMiSak ]<ar ko ilae BaI AMk ide jaaeÐ. 18 Sabdaqa- ¹saMbaMQaI [sa izSna maoM baccao kovala ËmasaM#yaa ila#a sakto hOM AMk ide jaaeÐ.vat-naI Aaid kI dRiYT sao AMk AMSat: hI kaTo jaaeÐ. (i) maagao- (ii) pUva-ma\ (iii) vaamaona. 293 1x3 = 3 FRENCH Time allowed : 3 hours Maximum Marks : 100 QUESTION PAPER CODE 20/1 Section A 1. Lisez le texte suivant et répondez aux questions qui suivent : (A) (20) Mon échange scolaire Pourquoi faire un échange ? Le but principal d’un échange est évidemment d’améliorer la langue étrangère et de mieux connaître un pays. Dès qu’ on passe la frontière, on découvre une nouvelle culture. On fait la connaissance de coutumes ou d’habitudes étrangères qui vont nous plaire, qui vont nous surprendre ou qu’ on ne va jamais bien comprendre. Moi, j’ ai fait de gros progrès en français. En plus, on peut dire qu’on ne fait pas seulement la connaissance d’une nouvelle culture, mais on découvre aussi sa propre culture et sa propre langue, parce que pendant l’ échange, on est souvent obligé de parler de son pays, et souvent on compare la vie française à sa propre vie, ce qui fait voir les choses qu’on avait jamais remarquées sur soi-même et son pays. Ce texte est écrit par Ingrid quand elle était chez Martine. (a) (b) (c) Les questions: 4 (i) Cette idée d’échange, est-ce qu’elle vous plaît? Pourquoi ? (ii) Comment un échange scolaire devient une expérience culturelle ? Cherchez dans le texte : 2 (i) Un nom qui indique « changer / partager des idées ou expériences ». (ii) Un adjectif qui signifie « quelqu’un ou quelque chose qui vient d’un autre pays.» (iii) La forme verbale de « le plaisir ». (iv) Un verbe qui signifie « trouver quelque chose de nouveau ». Complétez avec un mot du texte : 2 (i) Avec son cri fort, il a voulu nous _______________. (ii) La ________________ d’une langue étrangère est toujours nécessaire. 294 (d) (e) (iii) Le ________________ de l’Inde en informatique est excellent. (iv) Lorsque vous voyagez, vous appréciez aussi les __________ locales d’un pays. Donnez : 1 (i) La forme nominale de« comprendre ». (ii) Le contraire de « mince ». Cherchez dans le texte : 1 Deux adjectifs au féminin dans le texte. (B) La rue de Buci maintenant Où est-il parti Le petit monde fou du dimanche matin Épouvantable rideau de poussière : horrible curtain of dust Qui donc a baissé cet épouvantable rideau de poussière Et de fer sur cette rue Cette rue autrefois si heureuse et si fière d’ être rue Comme une fille heureuse et fière. Pauvre rue Te voilà maintenant abandonnée dans le quartier Abandonné lui-même dans la vie dépeuplée. Pauvre rue Morne corridor menant d’un point mort à un autre point mort Tes chiens maigres et seuls et ton gros mutilé de guerre (a) (b) Les questions: 4 (i) Comment était la rue autrefois? A qui le poète compare-t-il la rue? (ii) Pourquoi cette rue est appelée « pauvre rue » ? Dites vrai ou faux: 2 (i) Cette rue était pleine de monde autrefois. (ii) La fille vit dans cette rue. (iii) Aujourd’hui, il y a toujours beaucoup de monde. (iv) Le quartier aussi est abandonné. 295 (c) Trouvez dans le texte le mot pour: (i) un jour de la semaine (ii) un métal (iii) sans peuple (iv) horrible 2 (d) Remplissez avec les mots du texte : 2 (i) Les gens de ce__________ ont __________ cette belle église. (ii) Cette boutique a _________ les prix et ________ tout le monde y va ! SECTION B 2. Écrivez une lettre d’environ 80 mots – (a) (30) 10 Vous voulez inviter votre cousin (e) pour partir en vacances ensemble. Ecrivez-lui pour l’inviter. OU (b) 3. Vous venez d’assister à un beau concert de musique. Vous écrivez à votre frère pour le lui décrire. Composez un dialogue d’environ 40 mots sur un des sujets– (a) 5 Vous allez dans un restaurant avec un (e) ami (e) français (e). Il/elle visite l’Inde pour la première fois. Vous en parlez avec lui/elle. OU 4. (b) Votre père vous emmène dans un supermarché. Vous voulez acheter quelque chose mais il vous refuse. (a) Rédigez une invitation pour votre anniversaire. (30 mots) 5 OU (b) 5. La mère doit aller au magasin pour un travail urgent. Elle laisse un message pour son fils. Rédigez un conte à l’aide des éléments donnés ci-dessous : (100 mots) Pauvre homme - habiter village - maison cassée - demander nourriture - gens méchants - quitter - village marcher - passer nuit - ancien temple trésor - perles diamants - devenir - riche. 296 10 SECTION C 6. 7. Mettez les verbes aux temps convenables : 5 (i) Pauline lit son journal (boire) son thé. (ii) Cyril et Henri (partir)- ils bientôt ? (iii) Autrefois, on (voyager) moins. (iv) (Se souvenir de) ce jour où tu m’as rencontré? (v) Elle (tenir) une bougie à la main hier. Remplissez avec un pronom démonstratif : 5 (i) Je n’aime pas ce type de films, je préfère ________ d’ aventure. (ii) Les villes indiennes sont plus peuplées que ________ de la France. (iii) Notre université est la plus célèbre, et ___________ de Mumbai est la plus ancienne. 8. 9. (iv) Laisse cette imprimante et prends _____________ qui marche mieux. (v) Les pays d’Afrique sont grands mais _______ de l’ Europe sont moins grands. Remplacez les tirets avec des pronoms personnels convenables : (i) Les touristes vont souvent à la plage. (ii) Michel a pris sa lettre. (iii) Il y a une pomme pour toi ! (iv) Il faut manger des crêpes. (v) Envoie-moi le roman. Mettez les phrases en ordre : . (i) ce / vous / où / soir / allez ? (ii) au / jouer / veulent / ballon / ils. (iii) au / vas / cinéma / pas / tu / ne ? (iv) belle / nous / histoire / écris / une ! (v) fasse / il / attention / elle / qu’ / faut. 5 5 297 10. 11. 12. Retrouvez la bonne question: 5 (i) C’est un temps nuageux. (ii) Mes cousins prennent le train à 10 heures. (iii) Benoît va en Australie en vacances. (iv) Bien sûr! (v) Il a 2 ans. Remplissez les tirets avec les pronoms relatifs composés convenables : (i) Je suis entré dans la maison _________ se trouve cette belle église. (ii) C’est une amie _________ j’ écris souvent. (iii) As-tu acheté toutes les épices _________ on va préparer le poulet ? (iv) Prenons la rue ___________ il est passé. (v) Le chien ___________ elle se promène est adorable! Transformez au style direct ou indirect selon le cas: (i) Il me dit, « Je vais sortir avec mes amis » (ii) Elle lui demande de lui parler en français. (iii) Tara me demande si je veux l’ accompagner. (iv) Ils nous disent, « Ne parlez pas aux étrangers ! » (v) Elle veut savoir ce qui me gêne. SECTION D 13. Répondez à six des questions suivantes : 5 5 (15) 6x1½ = 9 (a) A quoi sert l’Internet ? (b) Le Parlement de France est composé de combien d’assemblées ? Lesquelles? (c) A quoi servent les Bateaux - Mouches ? (d) Pourquoi irez - vous dans une bibliothèque ? (e) Quelles informations trouve-t-on dans un CV ? (f) Que connaissez-vous de la pyramide au Louvre? (g) Nommez les niveaux différents dans une école française? 298 14. Reliez les colonnes A et B et récrivez: A 15. 6x½ = 3 B (i) bip sonore monuments égyptiens (ii) gare SNCF en Corse (iii) Pyramides laisser un message (iv) carte orange le beau temps (v) après la pluie titre de transport (vi) Bastia accès aux quais Complétez : 6x½ = 3 (i) Céline Dion est une _________ canadienne. (ii) Une personne qui n’ est pas mariée est ___________. (iii) Le Sensodyne est pour les dents ___________. (iv) Le fait divers est une des ___________ dans un joumal. (v) Les ___________ se trouvent au sud-est de la France. (vi) Renoir est un ___________ français très connu. QUESTION PAPER CODE 20 Section A 1. (A) Lisez les textes suivants et répondez aux questions suivantes : Science et loisirs La science a fait beaucoup de progrès depuis un siècle. Elle en fera encore et de plus importants sans doute. Mais il est difficile de savoir si l’humanité en tirera un grand profit. De nombreux savants, Einstein, Oppenheimer par exemple, ont contesté l’emploi qui était fait de leurs inventions. A quoi bon découvrir les secrets de la matière si c’est pour fabriquer des bombes atomiques capables de faire sauter la terre entière ? Et puis, quand la machine a libéré les ouvriers du travail manuel, quand les mères de famille ont des appareils ménagers qui font la cuisine et la vaisselle à leur place, quand la vie est devenue plus facile et plus simple pour tous, comment 299 20 hommes et femmes occuperont-ils leurs loisirs ? Sont-ils plus heureux ? Voilà la question. Mais, tout d’abord, il faut donner à manger à ceux qui ont faim et établir la paix partout dans le monde. Voilà deux tâches qui suffiront à occuper l’humanité. (a) (b) (c) Les questions: 4 (i) Pourquoi la vie est devenue plus simple et plus facile? (ii) Quelles sont les tâches qui doivent occuper l’humanité ? Cherchez dans le texte : 2 (i) Un verbe qui signifie « trouver quelque chose de nouveau ». (ii) Un adjectif qui signifie « travailler avec les mains ». (iii) Un nom qui indique « le temps libre de faire ce qu’on aime faire ». (iv) Un nom qui signifie « tous les hommes du monde ». Complétez avec un mot du texte : 2 (i) On va _________ cette marque de voiture en Corée du sud. (ii) Ces étudiantes sont bien _________ de travailler tout le temps. (iii) Terminer tout ce travail dans une heure ? C’est une _____________ bien difficile. (iv) (d) (e) Le téléphone portable, c’est une très belle ________________ pour l’humanité. Trouvez dans le texte : (i) Le contraire de la « guerre ». (ii) L’équivalent de « contents ». 1 Transformez la phrase aux temps indiqués : Il faut (au passé composé) donner à manger à ceux qui ont (à l’imparfait) faim. (B) Le désespoir est assis sur un banc Dans un square sur un banc Il y a un homme qui vous appelle quand on passe Il a des binocles* un vieux costume gris 300 1 Il fume un petit ninas* il est assis Et il vous appelle quand on passe Ou simplement il vous fait signe Il ne faut pas le regarder Il ne faut pas l’écouter Il faut passer Faire comme si on ne le voyait pas Comme si on ne l’entendait pas Il faut passer presser le pas Si vous le regardez Si vous l’écoutez Il vous fait signe et rien, personne... *Des binocles = binoculars *Ninas = a type of cigar (a) (b) (c) (d) Les questions: 4 (i) Décrivez l’homme qui est assis sur un banc. (ii) Que devez-vous faire quand « il » vous fait signe ? Cherchez dans le texte : 2 (i) L’équivalent d’une « place ». (ii) Le mot pour un vêtement. (iii) La forme verbale de « le regard». (iv) Le contraire de « tout ». Complétez avec un mot du texte : 2 (i) Dans ce parc, il y a un grand __________________ surtout pour les âgés. (ii) Dans les trains en Inde, on ne _____________ pas. (iii) Il ____________ se dépêcher sinon on sera en retard. (iv) Regarde cet homme bizarre qui me fait ______________ ! Donnez la forme nominale de : 1 appelle, voyait 301 (e) Trouvez : 1 (i) Le contraire de « debout ». (ii) Une expression qui indique « marcher vite ». SECTION B 2. Écrivez une lettre d’environ 80 mots: (a) 30 10 Votre frère a terminé ses études en France et il cherche un travail. II vous écrit une lettre décrivant ce qu’il fait maintenant. OU (b) 3. Votre grand-mère est malade. Vous êtes très inquiet. Vous écrivez à un/une ami(e) pour lui demander des conseils. Composez un dialogue d’environ 40 mots sur un des sujets : (a) 5 Vous venez de voir un film très intéressant. Vous en discutez avec votre ami(e). OU 4. (b) Il y a un problème de transport dans votre ville. Vous devez aller à l’école. Vous discutez avec un(e) ami(e) ce que vous devez faire pour y aller. (a) Vous êtes invité à une soirée musicale mais vous n’êtes pas libre. Écrivez un refus. (30 mots) 5 OU (b) Écrivez le C.V. de cette personne : Pierre Bourdain, 25 ans, né le 30 août 1983, célibataire; études en technologie de 2000 à 2004 à l’université de Lyon; habite 25, Rue Faure, 75013 France; parle 3 langues : français, allemand, anglais; adore le sport, aime voyager et écouter la musique rock; déjà travaillé 2 ans chez Siemens. 5. Rédigez un conte à l’aide des éléments donnés ci-dessous : (100 mots) 10 Deux jours de pluie - mauvais temps - rien à faire - s’ennuyer beaucoup -l’école fermée - regarder télévision - soudain - coup de fil - tante venir - très sympathique - cadeaux - passer la soirée-bavarder - très belle soirée. SECTION C 6. Corrigez les fautes dans le texte : 35 5 Il y avaient quatre hommes qui voyageaient ensemble. Ils voulait visiter Delhi et 302 Agra. La capitale qu’ils ont visité est une très grande ville avec des grandes rues et de beau monuments. 7. 8. 9. 10. Remplissez les tirets avec des adjectifs possessifs convenables : (i) Nous avons décidé de prendre __________ livres avec nous. (ii) C’était une vieille voiture, le mécanicien ne savait pas comment résoudre ___________ problèmes. (iii) N’oubliez pas de prendre ___________ sacs quand vous partez. (iv) Sa mère a prêté ___________ parapluie à Lucie. (v) Jean, Paul et Marie sont partis avec __________ sacs à dos. Remplissez les tirets avec des prépositions ou des articles contractés : (i) Pour ses études supérieures, mon frère va _____________ Angleterre. (ii) Le week-end, nous faisons _____________ sport. (iii) « Donnez- moi __________ eau, s’il vous plaît ! » (iv) ___________ Inde, nous vivons tous ensemble. (v) Mes amis adorent jouer _____________ guitare. Mettez au négatif : (i) Il y a des livres dans mon sac. (ii) Elle voudrait manger du pain. (iii) Quelqu’un a sonné à la porte. (iv) Ils ont déjà chanté. (v) Vous avez tout compris. 5 5 5 Mettez les verbes aux temps convenables : 5 (i) Il faut que vous _____________ (être) à l’heure. (ii) Demain, il ______________ (faire) beau. (iii) Tous les gens ___________ (vouloir) parler ensemble. (iv) ______________ -vous (comprendre) cette question? (v) Si Juhi avait beaucoup d’argent, elle ________________ (aimer) faire le tour du monde. 303 11. 12. Complétez les tirets avec des pronoms démonstratifs : (i) Voulez-vous acheter cette chemise-ci ou ______________? (ii) La vie à Paris est plus intéressante que _______________ de Lyon. (iii) Je ne préfère pas ces livres, je préfère plutôt _____________. (iv) Regardez ces belles photos, surtout __________ qui est à droite. (v) Nous allons inviter les parents de Philippe et _______________ de Paul. Transformez au style direct ou indirect selon le cas: (i) Il me dit, « Je reviens demain ». (ii) Je lui dis de m’attendre. (iii) Tanya me demande si je veux voir ce film. (iv) Ils nous disent, « Ne sortez pas tout de suite ». (v) Elle me demande, « Qu’est-ce que tu aimes le plus? » SECTION D 13. Répondez à six des questions suivantes : 5 5 15 6x1½ = 9 (i) En quel mois le Tour de France a-t-il lieu? Quand s’est déroulé son centenaire? (ii) Que comprenez-vous par le CROUS ? (iii) Donnez le nom d’un fromage, d’un vin et d’un plat français. (iv) Qu’est-ce que c’est « la sécu » ? (v) Quelle est la différence entre un mensuel et un hebdomadaire ? (vi) À quoi sert la carte Imagine « R » ? (vii) Comment fait-on le jardinage ? 14. Reliez les colonnes A et B et récrivez : A 6x1½ = 3 B (i) rusé des étudiants (ii) les pastilles peintures (iii) CROUS mal à la gorge (iv) Hugo comme un renard (v) Musée d’Orsay entorse au poignet (vi) les pommades un poète 304 15. Complétez : 6x1½ = 3 (i) La Sorbonne a été créée en ______________. (ii) Après la terminale, on reçoit le _____________. (iii) Jean Vilar a créé le _______________. (vi) Tournesols est une peinture de ______________. (v) Passer d’une chaîne à l’autre, c’est _____________. (vi) ______________ élit le Président de la France. 305 Strictly Confidential - (For Internal and Restricted Use Only) All India Secondary School Examination March 2009 Marking Scheme - French 20/1 General Instructions: (i) In the marking scheme, a slash ( / ) indicates alternative answers: any one such answer is counted as correct. (ii) Brackets ( ) indicate optional information; the mark is awarded whether the part in brackets is included or not. iii) If a student writes an answer which is not given in the marking scheme but which is equally acceptable, full marks should be awarded. (iv) Students should not be penalized if they do not follow the order of the section / question while answering. (v) Some of the questions may relate to higher order thinking ability. These questions will be indicated separately. These questions are to be evaluated carefully and the student’s understanding/analytical ability may be judged. (vi) Every section carries general instructions at the beginning of the section. However for section C some exercises have instructions at the beginning of the exercises. (vii) Marking of each part/question exists in italics below the given part/question. (viii) A flawless answerscript may be awarded full marks. 306 QUESTION PAPER CODE 20/1 SECTION A (20 Marks) General Instructions 1. 1. No marks are to be deducted for omission of / incorrect articles, minor spelling errors, accents, punctuations 2. Referring to the marking scheme existing in class IX - workbook Pg 33, no marks are to be deducted for grammatical errors if relevant lines have been identified from the texts. A. (a) Les questions: (i) (2×2=4) Oui or Non (both should be accepted) If 'Non', the children should be able to justify with a complete sentence. If Oui, several possibilities exist in the text. Any complete or related sentence is the correct answer and should be given 2 marks. (b) (ii) Part (i) & (ii) are interlinked. Several possibilities exist in the text. Any complete or related sentence is the correct answer and should be given 2 marks. (i) échange (ii) étranger / étrangère (½×4=2) (iii) Plaire (marks will be given if the 'e' in plaire is missing) (iv) découvrir / découvre (c) (i) surprendre/ améliorer/ comprendre/ connaître/ parler/ plaire (ii) connaissance (½×4=2) (iii) progrès/ but (iv) coutumes/ cultures/ choses/ habitudes/ longues/ connaissances (d) B. (i) compréhension (½×2=1) (ii) gros, grosse / épais, épaisse (e) nouvelle/ française/ étrangère/ locale/ remarquée (s) / propre (½×2=1) (a) Les questions: (2×2=4) (i) Autrefois la rue était heureuse et fière. Le poète compare la rue à une fille 307 (ii) Cette rue est appelée <<pauvre rue>> parceque : - le petit monde fou est parti / - il y a un épouvantable rideau de poussière / des chiens maigres et seuls / un gros mutilé de guerre / points morts / - la rue est abandonnée / dépeuplée / morne. Full marks to be given for any one of these phrases or expressions. If the student writes '. . . maintenant la rue n'est pas si heureuse et si fière', one mark should be deducted. (b) (i) Vrai (ii) Faux (½×4=2) (iii) Faux (iv) Vrai (c) (i) dimanche (ii) fer (½×4=2) (iii) dépeuplée / abandonné (e) / morne / seul (iv) épouvantable / mutilé / morne (d) (i) 1st blank : quartier / monde / corridor (½×4=2) 2nd blank : abandonné / dépeuplé (ii) 1st blank : baissé 2nd blank : maintenant / donc / dimanche / voilà SECTION B (30 Marks) General Instructions 1. The Marking Scheme carries only Guidelines and does not constitute the complete answer. The students can have their own expression and marks should be awarded accordingly. 2. If a candidate exceeds the word limit by 10 words in any of the writing skills no marks should be deducted. If any writing skill exceeds beyond these 10 extra words, only 1 mark should be deducted. 3. Full marks may be awarded for any deserving answer in section B. 4.i) In case a child attempts both parts in a choice question, the better answer may be considered since this is a Foreign language paper. 308 4.ii) In case a child crosses out both the parts of a choice question, the first option may be read and awarded marks. 2. Letter (i) (10 Marks) Format - 4 marks (2 marks for place / date / name of addressee / introduction) (2 marks for ending expression(s) / sentences and name of the writer) 3. (ii) Idea and creativity - 4 marks (iii) Content, Accuracy in Interpretation and Presentation - 2 marks (iv) Grammatical errors - (1 mark for 10 errors according to CBSE. Maximum 2 marks may be deducted for grammatical errors.) - Any appropriate or relevant approach to these open ended topics may be accepted. - No marks to be deducted for signing off done either on left / right side. - Making / Absence of Indent / Paragraph should not lead to deduction of marks. Dialogue (5 Marks) (i) Format - 1 mark (ii) Content & fluency - 3 marks (iii) Creativity - 1 mark (iv) Grammatical errors - 1 mark for 5 mistakes 3(a) For dialogue in restaurant, any points related to India (Food, People, Tourism & Culture) 3(b) For dialogue in super market, all vocabulary related to a super market, with at least one sentence of refusal. The dialogue could be between Father / child / shopkeeper or Father & Child 4. Message / Invitation (5 Marks) (i) Format - 2 marks (name of addressee /date / name of writer / Box ) (ii) Content & fluency - 3 marks (iii) Grammatical errors - 1 mark for 5 mistakes 4(a) The Invitation may or may not carry a date. No marks to be deducted for absence of date - No marks to be deducted for signing off on either left or right side 309 - Content must include date, place, reason, time. - ½ mark cut for any one element missing 4(b) For Message writing - 5. Content must include 'where the mother is going'. 1 mark should be deducted if this is not mentioned Story Writing (10 Marks) (i) Content / Accuracy - 4 marks (all words used) (ii) Creativity / Fluency - 4 marks (iii) Tenses - 2 marks (Present Tense to be accepted) - Considering the story line contained only 22 words, a story of 70-80 words should not lead to any deduction of marks - 1 mark to be deducted for exceeding word limit beyond the 10 extra words - 1 mark to be deducted for every 10 mistakes - If the student only copies down the storyline given in the question paper, marks to be awarded (2/3 marks ) will depend on the examiner's discretion (as per Guidelines for marking scheme issued by CBSE.) SECTION C (35 Marks) 6. Mettez les verbes aux temps convenables: i. (1×5=5) Pauline lit son journal en buvant son thé. en buvant (1 mark) for only 'buvant' or 'en bouvant' ½ mark is to be awarded ii. Cyril et Henri, vont-ils partir bientôt? partiront, partent - are also acceptable iii. Autrefois, on voyageait moins. ½ mark is to be given if 'e' is missing / if 'a voyagé' is written. iv. The absence of a subject pronoun and the presence of a question mark has led to the possibility of several options 310 Te souviens-tu de ce jour où tu m’as rencontré ? Tu te souviens (1 mark) Souviens - toi HOTS T'es - tu souvenu Te souvenais - tu / Tu te souvenais Te souviendras - tu Tu te souviendras - If in any option, te is missing, ½ mark should be given. - Interchange of placement of ( i ) & ( e ) should be given marks, if the entire structure is right i.e. , souveins instead of souviens v. Elle tenait une bougie à la main hier. a tenu / avait tenu should also be considered right 7. Remplissez avec un pronom démonstratif : i. (1×5=5) Je n’aime pas ce type de films, je préfère ceux d’aventure. celui / ceux - both options are correct ii. Les villes indiennes sont plus peuplées que celles de la France. for 'celle' ½ mark is to be awarded iii. Notre université est la plus célèbre, et celle de Mumbai est la plus ancienne. iv. Laisse cette imprimante et prends celle qui marche mieux. v. Les pays d’Afrique sont grands mais ceux de l’Europe sont moins grands. Presence of ci / là should not lead to any deduction of marks 8. Remplacez les tirets avec des pronoms personnels convenables : Note : For this excercise if the pronoun is correct but it is placed incorrectly, ½ mark is to be given. i. Les touristes y vont souvent. ii. Michel l'a prise. Michel la a prise. (1 mark) Michel l'a pris. Michel la a pris. (½ mark) 311 (1×5=5) iii. Il y en a une pour toi ! Presence/Absence of 'une' should not lead to deduction of marks. iv. v. 9. Il faut en manger. Envoie-le-moi! Mettez les phrases en ordre : (1×5=5) Note : For this exercise, ½ mark is to be deducted for 1 word out of place. i. Où allez-vous ce soir ? Any grammatically correct sentence to get full marks ii. Ils veulent jouer au ballon. iii. Ne vas-tu pas au cinéma ? Any of the 2 interrogative forms is correct (intonation or inversion) 10. iv. Écris-nous une belle histoire! v. Il faut qu’elle fasse attention. Retrouvez la bonne question : (1×5=5) Note : Absence of inversion should not lead to any deduction of marks i. Quel temps fait-il ? Quel temps est-ce / il ? (1 mark) HOTS Quel temps est-ce que c'est ? For writing Quelle temps _ _ _ _ _ (½ mark) ii. A quelle heure / Quand tes/ vos / mes cousins prennent-ils le train ? iii. Où Benoît va-t-il en vacances ? iv. Any grammatically correct question with or without inversion v. Quel âge a-t-il ? (1 mark) Il a quel âge ? for 'quelle' ½ mark can be given no marks to be deducted for no accent on 'a' of âge 11. Remplissez les tirets avec les pronoms relatifs composés convenables : ] HOTS Note : For this exercise 1 mark for each part may be considered as : ½ mark for any other suitable preposition 312 (1×5=5) ½ mark for correct pronoun 12. i. Je suis entré dans la maison devant / derrière / près de / à côté de laquelle se trouve cette belle église. ii. C’est une amie à laquelle / à qui j’écris souvent. iii. As-tu acheté toutes les épices avec lesquelles / à l'aide des quelles on va préparer le poulet ? iv. Prenons la rue par / dans /sur laquelle il est passé. v. Le chien avec / derrière / devant lequel, elle se promène est adorable. Transformez au style direct ou indirect selon le cas : (1×5=5) Note : No mark to be cut for punctuation ½ mark to be deducted for absence of inverted commas in two sentences. Their absence in 1 sentence should be overlooked. In this entire exercise ½ mark can be deducted for every 2 mistakes i. Il me dit qu’il va sortir avec ses amis. ii. Elle lui dit / demande, « Parlez / parle (à) - moi / lui en français! iii. Tara me demande, « Veux-tu /voulez-vous m’/ l'accompagner ? » All 3 forms of interrogative to be accepted i.e intonation / Est-ce que / inversion with the pronouns me / le iv. Ils nous disent de ne pas parler aux étrangers. ½ mark to be deducted for 'ne parler pas' v. Elle demande / veut savoir, « Qu’est-ce qui te / vous gêne ? » Elle demande « Je veux savoir qu’est-ce qui te / vous gêne ? » ½ mark deducted for : Elle demande," ce qui te gêne?" Section - D General Instructions 1) Correct facts (related to the relevant question) should be marked correct. 2) Same Ans/ Information as given in text but expressed in the student's own words should be accepted. 3) Missing or incorrect accents & minor spelling errors (upto 1 or 2 letters) should be overlooked. 4) Correct facts even without complete sentence formation must be accepted. 313 (15 marks) 13. Répondez à six des questions suivantes: (a) (6×1½=9) L’Internet permet de mettre en communication un grand nombre d’utilisateurs dans le monde entier et dans les domaines les plus divers. Other acceptable verbs/expressions are: aide à communiquer / à causer avec / chercher des informations / surfer / chatter / échanger des données...... If simply the definition of Internet (i.e. l'Internet est un réseau télématique....) is given . . . . ½ mark should be given (b) Le Parlement de France est composé de deux assemblées : Le Sénat et l’Assemblée Nationale. or Deux : le Sénat & L’Assemblée Nationale. (c) Les Bateaux Mouches sont les bateaux dans lesquels on peut faire une randonnée sur la Seine en passant sous les ponts de la Seine. Key words are: bateaux / Promenade / randonnée / Seine : even if any two words are used, full marks should be given. (d) (i) Dans une bibliothèque on peut emprunter / prendre des livres, des disques, des C.D., des diapos, des B.D. (ii) On va à la bibliothèque pour écouter / lire sur place Both options or any one option must be given full marks. (e) Dans un CV on trouve tous les détails personnels du candidat, la formation, l’expérience professionnelle, les langues parlées, les activités et l’état civil. Any 3 facts as given in the CV in the text to be given full marks. (f) (i) La grande pyramide se trouve au centre de la cour Napoléon. (ii) C’est Ieoh Ming Pei/(l’architecte sino-américain) qui l’a construite. Either or both the sentences should get full marks. (g) Les niveaux différents dans une école française sont : l’école maternelle, l’école primaire, le collège, le lycée, l’université. Any three levels should be accepted and awarded full marks. 14. Reliez les colonnes A et B et récrivez : (6×½=3) bip sonore laisser un message Gare SNCF accès aux quais Pyramides monuments égyptiens 314 15. Carte orange titre de transport après la pluie le beau temps Bastia en Corse Complétez (6×½=3) i. chanteuse ii. célibataire iii. sensibles iv. rubriques v. Alpes vi. peintre/ artiste QUESTION PAPER CODE 20 SECTION A (20 Marks) General Instructions 1. 1. No marks to be deducted for omission of / incorrect articles, minor spelling errors, accents, punctuations 2. Referring to the marking scheme existing in class IX - workbook Pg 33, no marks are to be deducted for grammatical errors if relevant lines have been identified from the texts. A. (a) (b) Les questions: (2×2=4) (i) La vie est devenue plus simple et plus facile grâce à la science qui a fait beaucoup de progrès depuis un siècle / . . . parceque la machine a libéré les ouvriers du travail manuel, les mères de famille ont des appareils ménagers qui font la cuisine et la vaisselle à leur place. (ii) Il faut donner à manger à ceux qui ont faim / établir la paix partout dans le monde / sauver la terre. (i) découvrir / fabriquer (ii) manuel (½×4=2) (iii) loisir/s (iv) l’humanité / la terre (c) (i) fabriquer / faire / établir / découvrir (ii) capables / heureuses (iii) tâche (iv) invention / machine 315 (½×4=2) (d) B (i) la paix (½×2=1) (ii) heureux (e) a fallu , avaient (½×2=1) (a) Les questions: (2×2=4) (i) L’homme qui est assis sur un banc fume un petit ninas / a des binocles / il porte un vieux costume gris. Any two points should be awarded full marks (ii) Quand « il » nous fait signe, il ne faut pas le regarder / il ne faut pas l’écouter / il faut passer / faire comme si on ne le voyait pas / ne l'entendait pas / il faut passer presser le pas Any two points should be awarded full marks (b) (i) square / banc (ii) costume (½×4=2) (iii) regarder (iv) rien (c) (i) banc / square (ii) fume (½×4=2) (iii) faut (iv) signe (d) (l’)appel , (la) vue (½×2=1) (e) (i) (être / est ) assis (½×2=1) (ii) presser (le pas) 'presser' alone to be also given ½ mark SECTION B (30 Marks) General Instructions 1. The Marking Scheme carries only Guidelines and does not constitute the complete answer. The students can have their own expression and marks should be awarded accordingly. 2. If a candidate exceeds the word limit by 10 words in any of the writing skills no marks should be deducted. If any writing skill exceeds beyond these 10 extra words, only 1 mark should be deducted. 3. Full marks may be awarded for any deserving answer in section B. 316 4.i) In case a child attempts both parts in a choice question, the better answer may be considered since this is a Foreign language paper. 4.ii) In case a child crosses out both the parts of a choice question, the first option may be read and awarded marks. 2. Letter (i) (10 Marks) Format - 4 marks (2 marks for place / date / name of addressee / introduction) (2 marks for ending expression(s) / sentences and name of the writer) (ii) Idea and creativity - 4 marks (iii) Content, Accuracy in Interpretation and Presentation - 2 marks (iv) Grammatical errors - (1 mark for 10 errors according to CBSE. Maximum 2 marks may be deducted for grammatical errors.) - Any appropriate or relevant approach to these open ended topics may be accepted. - No marks to be deducted for signing off done either on left / right side. - Making / Absence of Indent / Paragraph should not lead to deduction of marks. 2(b) There should be at least one sentence on seeking advice from a friend. 3. Dialogue (5 Marks) (i) Format - 1 mark (ii) Content & fluency - 3 marks (iii) Creativity - 1 mark (iv) Grammatical errors - 1 mark for 5 mistakes 3(a) Name of film should be mentioned. 3(b) This dialogue must contain an expression or sentence related to transport problem. 4. Message / Invitation (5 Marks) (i) Format - 2 marks (name of addressee /date / name of writer / Box ) (ii) Content & fluency - 3 marks (iii) Grammatical errors - 1 mark for 5 mistakes Curriculum Vitae: (i) (5 Marks) Format -3 marks (½ for box / ½ for heading / 1 for arranging details in correct 317 order / 1 for three headings as given in text i.e. Formation, Expérience Professionnelle, Divers) (ii) Content and Accuracy - 2 marks (Using all clues given) 4(a) This message must contain at least one line / expression of refusal. The refusal may or may not carry a date. No marks to be deducted for absence of date. - No marks to be deducted for signing off on either left or right side 4(b) Presence / Absence of subheadings of personal details should not lead to any deduction of marks 5. Story Writing (10 Marks) (i) Content / Accuracy - 4 marks (all words used) (ii) Creativity / Fluency - 4 marks (iii) Tenses - 2 marks (Present Tense to be accepted) - 1 mark to be deducted for exceeding word limit beyond the 10 extra words - 1 mark to be deducted for every 10 mistakes - If the student only copies down the storyline given in the question paper, marks to be awarded (2/3 marks ) will depend on the examiner's discretion (as per Guidelines for marking scheme issued by CBSE.) SECTION C (35 Marks) 6. Corrigez les fautes dans le texte : (1×5) Note : Any other erroneous correction(s) made by the student/s other than the errors given may be overlooked. Il y avait quatre hommes qui voyageaient ensemble. Ils voulaient visiter Delhi et Agra. La capitale qu’ils ont visitée est une très grande ville avec de grandes rues et de beaux monuments. 7. Remplissez les tirets avec des adjectifs possessifs convenables: (i) Any plural form to be accepted. (ii) C'était une vieille voiture, le mécanicien ne savait pas comment résoudre ses problèmes. (iii) Any plural form to be accepted. (iv) Any masculine singular form to be accepted. (v) Any plural form to be accepted. 318 (1×5=5) 8. Remplissez les tirets avec des prépositions ou des articles contractés : (i) Pour ses études supérieures, mon frère va en Angleterre. (ii) Le week-end, nous faisons du sport. (1×5=5) For writing 'le' ½ mark is to be deducted. (iii) « Donnez-moi de l' / l' eau, s’il vous plaît ! » These answers must be acepted as a contracted article cannot fit as an answer. (iv) En Inde, nous vivons tous ensemble. (v) Mes amis adorent jouer de la guitare. For writing 'la' ½ mark is to be deducted 9. Mettez au négatif : (i) (1×5=5) Il n’y a pas de livres dans mon sac. For not changing 'des' to 'de' ½ mark to be deducted (ii) Elle ne voudrait pas manger de pain. For not changing 'du' to 'de' ½ mark to be deducted (iii) Personne n’a sonné à la porte. Quequ'un n' a pas sonné à la porte. ½ mark 'personne n'a pas sonné' (iv) Ils n’ont pas encore chanté. If 'encore' is placed after 'chanté', ½ mark is to be deducted (v) Vous n’avez rien compris. 1 mark Vous n'avez pas tout compris. If 'rien' is placed after 'compris', ½ mark is to be deducted 10. Mettez les verbes aux temps convenables : (1×5=5) (i) Il faut que vous soyez à l’heure. (ii) For 'soyiez', ½ mark is to be deducted Demain, il fera / va faire (faire) beau. For 'ferra ', ½ mark is to be deducted (iii) Tous les gens ____ (vouloir) parler ensemble. Any correct tense to be accepted. (iv) __________ -vous (comprendre) cette question ? (v) Any correct tense to be accepted Si Juhi avait beaucoup d’argent, elle aimerait faire le tour du monde. 319 11. Complétez les tirets avec des pronoms démonstratifs : (1×5=5) Note : No marks to be deducted for the absence or presence of 'ci' or 'là' (i) Voulez-vous acheter cette chemise-ci ou celle - là ? (ii) La vie à Paris est plus intéressante que celle de Lyon. (iii) Je ne préfère pas ces livres, je préfère plutôt ceux - ci / là . (iv) Regardez ces belles photos, surtout celle qui est à droite. For 'celles' ½ mark to be deducted (v) 12. Nous allons inviter les parents de Philippe et ceux de Paul. Transformez au style direct ou indirect selon le cas : (1×5=5) Note : ½ mark to be deducted for absence of inverted commas in two sentences. Their absence in 1 sentence should be overlooked. In this entire exercise ½ mark can be deducted for every 2 mistakes (i) Il me dit qu’il revient / reviendra demain. (ii) Je lui dis / demande, « Attends / Attendez -moi !» (iii) Tanya me demande : « Veux-tu voir ce film ?» All 3 forms of interrogative to be accepted i.e intonation / Est-ce que / inversion (iv) Ils nous disent de ne pas sortir tout de suite. ½ mark to be deducted for 'ne sortir pas' (v) Elle me demande ce que j’aime le plus. For writing ...... que j'aime le plus. ½ mark should be awarded Section - D General Instructions 1) Correct facts (related to the relevant question) should be marked correct. 2) Same Ans/ Information as given in text but expressed in the student's own words should be accepted. 3) Missing or incorrect accents & minor spelling errors (upto 1 or 2 letters) should be overlooked. 4) Correct facts even without complete sentence formation must be accepted. 320 (15 marks) 13. Répondez à six des questions suivantes: (i) (6×1½=9) Le Tour de France a lieu chaque année en juillet. Son centenaire s’est déroulé en 2003. or En juillet, 2003 (ii) Le CROUS, le Centre Régional des Œuvres Universitaires et Scolaires, est un établissement public à caractère administratif qui a pour mission de favoriser l’amélioration des conditions de vie et de travail des étudiants. Full marks to be awarded for only writing full form of abbreviation. Keywords for this answer are : Etablissement public / administratif / améliorer / vie / travail / étudiant Presence of any two / three expressions / words from those above mentioned should be given full marks (iii) Un fromage français est le roquefort / le camembert, un vin français est le champagne/le bourgogne et un plat français est le gratin dauphinois / le coq au vin. Any French cheese, wine or dish is acceptable (iv) « La sécu » c’est la sécurité sociale. C’est une organisation officielle visant à assurer la sécurité matérielle des travailleurs et de leur famille en cas de maladie ; d’accident du travail, de maternité etc., et à leur garantir une retraite. Keywords for this answer are : Organisation / sécurité sociale / matérielle / travailleurs/ famille Any 2 of these elements should be given full marks (v) Un mensuel est un journal ou un magazine qui paraît une fois par mois. Un hebdomadaire est un journal / revue / magazine qui paraît une fois par semaine. Answer must contain the words 'chaque mois / une fois par mois ' and 'chaque semaine/ une fois par semaine' (vi) La carte Imagine-R est un titre de transport unique qui est valable douze mois et avec laquelle on peut voyager sur tous les transports de Paris et d’Île-deFrance dans les zones choisies pour la semaine. Keywords for this answer are : Titre de transport / valable 12 mois / voyager sur tous les transports Any 2 expressions to be awarded full marks (vii) Pour faire le jardinage, on sème des graines de fleurs, on plante des bulbes, on taille les rosiers et on arrose le jardin. Keywords for this answer are : Arroser / planter / semer / tailler / couper / cultiver Any 2 verbs / expressions related to gardening to be given full marks 321 14. Reliez les colonnes A et B et récrivez : (6×½=3) (i) rusé comme un renard (ii) les pastilles mal à la gorge (iii) CROUS des étudiants (iv) Hugo un poète (v) Musée d’Orsay peintures (vi) les pommades entorse au poignet 15. Complétez (6×½=3) (i) 1257 (ii) le baccalauréat / le bac (iii) Festival d’Avignon / de théâtre / de danse (iv) Van Gogh (v) zapper (vi) le peuple / le or un citoyen / le public 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 -1 -2 -3 -4 -5 -6 -7 -8 -9 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383