<www.mahaedutechnet.org> 1 : 1. Even, Odd and Prime Numbers Q. 1 The number of prime numbers between 1 to 20 is .......... [1] 6 [2] 8 [3] 9 [4] 7 Wrong! You Entered : 0, Correct Answer : 2. Prime numbers between 1 to 20 2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 = total 8 numbers. 2 : 2. To Form the Greatest and the Smallest Numbers Q. 2 Find the difference between the greatest and the smallest three digit numbers formed by using 5, 0 and 1 each only once. [1] 400 [2] 405 [3] 495 [4] 404 Wrong! You Entered : 0, Correct Answer : 2. Greatest number using 5 , 1 , 0 = 510 (Descending) Smallest number using 5 , 1 , 0 = 105 (0 can not come at hundred's place , because that will make that number 2 digits number) Difference 510 – 105 = 405 3 : 3. Place Values Q. 3 Find the difference in the place values of 5 in the number 9.5015. [1] 5000 [2] 4995 [3] 0.04995 [4] 0.4995 Wrong! You Entered : 0, Correct Answer : 4. Place value of 5 on the left side = 0.5 Place value of 5 on the right side = 0.0005 Difference = 0.5 – 0.0005 = 0.4995 4 : 4. Fundamental Mathematical Operations <www.mahaedutechnet.org> Q. 4 Same digit occurs in place of * in the equation 2432* × 2* = 60812*. Find that digit. [1] 2 [2] 4 [3] 5 [4] 6 Wrong! You Entered : 0, Correct Answer : 3. * can't be 2 or 4 , because 2 × 2 = 4 , 4 × 4 = 16 let's try 5 and 6 24325 × 25 = 608125 5 : 5. Rational Numbers Q. 5 Arrange the following rational numbers in descending order. -3/8, 5/6, -7/-12, -1/2 [1] -7/-12, 5/6, -3/8, -1/2 [3] 5/6, -3/8, -1/2, -7/-12 [2] -1/2, -3/8, -7/-12, 5/6 [4] 5/6, -7/-12, -3/8, -1/2 Wrong! You Entered : 0, Correct Answer : 4. & 3/8 ¾ & 0-375 5/6 ¾ 0-83 & 7/& 12 ¾ & 0-58 & 1/2 ¾ & 0-5 Descending order ¾ 5/6 > & 7/& 12 > & 3/8 > & 1/2 6 : 6. Fractions Q. 6 What should be added to 3/4 to get 4/3? (1991, 1996) [1] 7/12 [2] 3/12 [3] 4/3 [4] 3/4 Wrong! You Entered : 0, Correct Answer : 1. <www.mahaedutechnet.org> should be added to to get 7 : 7. Decimal Fractions Q. 7 (2002) 106 [1] [3] 10-7 [2] 10-6 [4] 100000 Wrong! You Entered : 0, Correct Answer : 2. 8 : 8. A Number Line Q. 8 In the following figure find the distance between points A and B? [1] 5 units [3] -3.75 units Wrong! You Entered : 0, Correct Answer : 1. [2] 3.75 units [4] can not be determined <www.mahaedutechnet.org> There are 2 parts between point C and the point associated with number 2.25 Distance between these two points = 4.75 – 2.25 = 2.5 2 parts = 2.5 1 part = 1.25 There are 4 parts between point A and B. Distance between A and B = 1.25 × 4 = 5 units. 9 : 9. Decimal Measures Q. 9 17 km = how many decimeters? [1] 17000 [3] 1700 [2] 170000 [4] 17000000 Wrong! You Entered : 0, Correct Answer : 2. 17 km = 170 hectometer = 1700 decameter = 17000 meter = 170000 decimeter. 10 : 10. Greatest Common Divisor and Least Common Multiple Q. 10 LCM of two numbers is 105. Greater of the numbers is greater by 6 than the smaller one. Which one is the smaller number? [1] 15 [2] 21 [3] 18 [4] 24 Wrong! You Entered : 0, Correct Answer : 1. Factors of 105 = 21 , 15 , 5 , 7 , 3 out of that 21 × 15 = 6 smaller number = 15 11 : 11. Square and Square Root Q. 11 = ? (1992) [1] 1/5 [3] 5 [2] 3/4 [4] 1 <www.mahaedutechnet.org> Wrong! You Entered : 0, Correct Answer : 4. 12 : 12. Indices Q. 12 (-2)-2 x 23 = ? [1] 1 [3] 0 [2] 2 [4] 1/2 Wrong! You Entered : 0, Correct Answer : 2. 13 : 13. Ratio and Proportions Q. 13 Find the ratio of Rs. 1.2 to 60 paise. (1987) [1] 1:50 [2] 2:1 [3] 1:5 [4] 5:1 Wrong! You Entered : 0, Correct Answer : 2. 1.2 Rs = 120 paise Ratio = 120 : 60 = 2 : 1 14 : 14. Unitory Method and Variations Q. 14 A tank of capacity 5000 liters is filled completely by a running tap for 8 hours. Suppose tap runs for 9 hours 36 minutes, how many liters water will get wasted? (2002) [1] 1000 liters [2] 12000 liters [3] 960 liters [4] 400 liters Wrong! You Entered : 0, Correct Answer : 1. 5000 liter : (8 × 60) minutes x liter : 96 minutes <www.mahaedutechnet.org> 1000 liter water will be wasted. 15 : 15. Average Q. 15 In a class the average height of boys is 5ft, and that of girls is 4.5 ft. I the average height of the whole class is 43/9 and if there are 20 boys in the class, find the number of girls in the class. [1] 16 [2] 20 [3] 24 [4] 12 Wrong! You Entered : 0, Correct Answer : 1. Assume total total total number of girls = x height of boys = 20 × 5 = 100 height of girls = 4.5x height = 100 + 4.5x number of girls = 16 16 : 16. Percentage Q. 16 During the last year there were 500 students in a school. Amongst them 320 were boys and 180 were girls. This year, the total number of students is the same, but there are 280 boys and 220 girls. Find the percent increase and percent decrease in the number of boys and girls with respect to the total number of students. (2004) [1] Boy 8% decrease and girls [2] Boy 10% decrease and girls <www.mahaedutechnet.org> 10% increase 8% increase [3] Boy 12% decrease and girls [4] Boy 8% decrease and girls 10% increase 8% increase Wrong! You Entered : 0, Correct Answer : 4. In 500 students, 40 boys were reduced 500 : 40 100 : b b = (40 x 100) / 500 = 8% reduction in boys w.r.t. total no of students. In 500 students, 40 girls were added 500 : 40 100 : g g = (100 x 40)/500 = 8% addition in girls w.r.t. total no of students. Q. 17 35% of 6/49 = ? [1] 7/22 [3] 4/42 [2] 3/70 [4] 5/49 Wrong! You Entered : 0, Correct Answer : 2. 17 : 17. The Simple Interest Q. 18 Ravi took loan from a bank. He cleared his loan after 2 years by paying Rs. 6200 to the bank. If Ravi had to pay simple interest at the rate of 12 pcpa, find the amount of loan taken by Ravi. [1] Rs. 4920 [2] Rs. 5000 [3] Rs. 4800 [4] Rs. 5120 Wrong! You Entered : 0, Correct Answer : 2. Let us assume that simple interest = x Principal = 6200 – x R = 12 N = 2 <www.mahaedutechnet.org> Interest = Rs. 1200 Principal 6200 – 1200 = Rs. 5000 18 : 18. Discount, Commission and Rebate Q. 19 On account of Diwali festival, a cloth merchant declared 18% rebate on the cloth. Ujwala purchased two sarees of Rs. 450 and Rs. 770 and some clothes worth Rs. 620 from his cloth-mart. How much money did Ujwala pay? (2000) [1] Rs. 1840 [2] Rs. 1508.80 [3] Rs. 1520 [4] Rs. 1520.20 Wrong! You Entered : 0, Correct Answer : 2. Ujjwala purchased cloth worth Rs. 450 + 770 + 620 = 1840 Discount of 18% was given on the purchase. 100 18 1840 ? discount for Ujjwala = = 331.2 Ujjwala will have to pay Rs. 1840 – 331.2 = 1508.8 Rs. 19 : 19. Profit and Loss Q. 20 By selling a timepiece for Rs. 575, one earns 15% profit. Find out the cost price of that timepiece. (2002) [1] Rs. 560 [2] Rs. 650 [3] Rs. 500 [4] Rs. 590 Wrong! You Entered : 0, Correct Answer : 3. <www.mahaedutechnet.org> selling price = Rs. 575 , percentage profit = 15% cost price of the clock = = 500 Rs. 20 : 20. Time, Work and Speed Q. 21 40 workers can dig 30 pits in 60 days. How many days will be required by 20 workers to dig 15 pits? (1992, 2004) [1] 30 [2] 60 [3] 90 [4] 50 Wrong! You Entered : 0, Correct Answer : 2. Total work = 40 × 60 worker – days = 30 pits. to dig 1 pit = worker – days. to dig 15 pits = 15 × 80 worker – days. if 20 workers are there , they will take days. 21 : 21. Algebraic Expressions Q. 22 If 4 × 0.2 ÷ 0.016 = P then P = ? (1999) [1] 5 [2] 1/20 [3] 1/2 [4] 50 Wrong! You Entered : 0, Correct Answer : 4. 22 : 22. Identities and Factors of Algebraic Expressions Q. 23 Which are the factors of the expression x2 - 5x -6? (2001) [1] (x + 3)(x + 2) [2] (x - 6)(x + 1) [3] (x - 3)(x - 2) [4] (x + 6)(x -1) Wrong! You Entered : 0, Correct Answer : 2. <www.mahaedutechnet.org> Q. 24 How many of the following are the identities? (2004) (i) (ii) (iii) (iv) [1] 1 [3] 3 [2] 2 [4] 4 Wrong! You Entered : 0, Correct Answer : 4. All equations are true. 23 : 23. Simple Equations Q. 25 The sum of the ages of mother and daughter is 70 years. 10 years ago, the ratio of their ages was 7:3. Find mother's present age. (1996) [1] 45 [2] 49 [3] 50 [4] 50 Wrong! You Entered : 0, Correct Answer : 1. Assume mother's present age is x Before 10 years mother's age was x – 10 Daughter's present age = 70 – x Before 10 years daughter's age = 70 – x – 10 = 60 – x <www.mahaedutechnet.org> 3 (x – 10) = 7 (60 – x) 3x – 30 = 420 – 7x 7x + 3x = 420 + 30 10x = 450 x = 45 Mother's present age = 45 years. 24 : 24. Bar Graphs Q. 26 The following graph shows the number of people attended the Sahitya Sammelan each day. Observe the graph carefully and answer the following questions. For how many days the number of present persons was above average? [1] 2 days [2] 3 days [3] 4 days [4] 1 day Wrong! You Entered : 0, Correct Answer : 2. Day 1 Day 2 Day 3 Day 4 Day 5 <www.mahaedutechnet.org> Attendance 10000 7500 12000 6000 9000 Avg. Attendance On 3 days attendance was more than average. 25 : 25. Properties of Point, Line, Ray, Segment and Plane Q. 27 Observe the points given on the line carefully and answer the question. Which set signifies two different figures? (1997) . [1] Line PS & Ray PQ [3] Ray PS & Ray QR [2] Line QR & Ray PS [4] Line PQ & Ray PR Wrong! You Entered : 0, Correct Answer : 3. Ray PS and Ray QR are different figures. 26 : 26. Angles Q. 28 The ratio of the complementary and the supplementary angles of an angle is 2:5. So the measure of the angle is ............ (1990) [2] 400 [1] 300 [3] 500 [4] 600 Wrong! You Entered : 0, Correct Answer : 1. Assume that the angle measures It's complementary angle = It's complementary angle = 5 (90 – x) = 2 (180 – x) 450 – 5x = 360 – 2x 5x – 2x = 450 – 360 = 90 3x = 90 x = 30 <www.mahaedutechnet.org> The angle is . 27 : 27. Parallel Lines Q. 29 In the adjoining figure, aeg AB || seg CD. Seg. EF || secg CH, m ABI = 400, m EGB = 600, so find the value of m HCD. (1989) [1] 400 [2] 800 [4] 600 [3] 1200 Wrong! You Entered : 0, Correct Answer : 2. 28 : 28. Triangles Q. 30 The measures of the angles of a triangle are (5x+10)0, (3x+15)0 and (x+20)0 respectively. What type of triangle is it? (2004) [1] Right-angled [2] Obtuse-angled [3] Acute-angled [4] Scalene triangle <www.mahaedutechnet.org> Wrong! You Entered : 0, Correct Answer : 3. (5x + 10) + (3x + 15) + (x + 20) = 180 (angles of a triangle) 9x + 45 = 180 9x = 180 – 45 = 135 x = 15 5x + 10 = 15 × 5 + 10 = , 3x + 15 = 3 × 15 + 15 = x + 20 = 15 + 20 = 35 So the given triangle is an acute triangle. 29 : 29. Triangles : Congruency Tests Q. 31 In the figure, what is the test of congruency of two triangles? (2003) [1] SSS test [2] ASA test [3] SAS test [4] Hypo. side theorem Wrong! You Entered : 0, Correct Answer : 3. AOB congruent COD , Two sides and the included angle are By SAS test , two triangles are congruent. 30 : 30. The Pythagoras Theorem Q. 32 <www.mahaedutechnet.org> What is the side of the square in the adjoining figure? (1992) [1] 8 cm [2] 16 cm [3] 10 cm [4] 20 cm Wrong! You Entered : 0, Correct Answer : 3. In FEG by Pythagoras theorem , 31 : 31. Quadrilateral Q. 33 Which of the following statements is true? [2] Diagonals of a parallelogram [1] Diagonals of a kite bisect intersect each other in right each other angles [3] Diagonals of a isosceles [4] None of these trapezium are congruent Wrong! You Entered : 0, Correct Answer : 3. Diagonals of a isosceles trapezium are congruent. 32 : 32. Circle <www.mahaedutechnet.org> Q. 34 In the adjoining figure, PQRS is a cyclic quadrilateral. If m P=(3x-8)0 and m R=x0, then of the alternatives given below, ................ pair shows the measures of the angles. (1998) [2] 1330, 470 [1] 480, 1330 [3] 1030, 770 [4] 770, 1030 Wrong! You Entered : 0, Correct Answer : 2. Opposite angles of a cyclic quadrilateral are supplementary m P+m R = 180 3x – 8 + x = 180 4x = 188 x = 47 3x – 8 = 47 × 3 – 8 = 141 & 8 ¾ 133 Those angles are 33 : 33. Area and Volume <www.mahaedutechnet.org> Q. 35 In square ABCD, point M is the mid-point of seg PQ and seg RS. Two semicircles are drawn as shown in the figure. l(MP)=14cm. Find the area of the shaded portion. (1992) [1] 630 sq m [2] 154 sq m [3] 784 sq m [4] 630 sq m Wrong! You Entered : 0, Correct Answer : 4. Square's side = 14 × 2 = 28 , Square's area = 28 × 28 = 784 Area of 2 semicircles = Area of the circle having radius 7 Area of the shaded portion = 784 – 154 = 630 1 : Ch. 1. India and the World Q. 36 How much land did a serf-a farm labourer-own in medieval Europe? [1] 4 acres [2] 2 acres [3] 0.1 acre [4] None of these Wrong! You Entered : 0, Correct Answer : 4. A serf did not own any land. 2 : Ch. 3. Economic, Social and Cultural Life Q. 37 Which of the following places was known for the jaggery industry in medieval India? [1]Paithan [2]Kolhapur <www.mahaedutechnet.org> [3]Nasik [4]Devgiri Wrong! You Entered : 0, Correct Answer : 2. - 3 : Ch. 5. The Vijaynagar and Bahamani Kingdoms Q. 38 ‘Amuktamalyada’, written by Krishnadevraya, is ---. [2]a collection of schools of [1]a treatise on mathematics philosophy [3]a Telugu compendium of [4]a book on architecture in polity Karnataka Wrong! You Entered : 0, Correct Answer : 3. - 4 : Ch. 7. The Foundation and Expansion of the Mughal Power Q. 39 In medieval India, a network of wayside ‘serais’ (inns) was created by ---. [1]Humayun [2]Shershah [3]Akbar [4]Babur Wrong! You Entered : 0, Correct Answer : 2. - 5 : Ch. 9 The Creation of New Centres of Power Q. 40 When was Nizam-ul-mulk appointed the ‘Subhedar’ of the Deccan? [1]AD 1713 [2]AD 1717 [3]AD 1743 [4]AD 1737 Wrong! You Entered : 0, Correct Answer : 1. - <www.mahaedutechnet.org> 6 : Ch. 11. Maharashtra before the Times of Shivaji Maharaj Q. 41 In medieval Maharashtra the chief of all the Patils in a ‘paragana’ was --- --. [1]the Deshpande [2]the Deshmukh [3]the Kulkarni [4]None of these Wrong! You Entered : 0, Correct Answer : 2. - 7 : Ch. 13. Conflict with the Mughals Q. 42 The coin called ‘hon’ minted by Shivaji Maharaj was a --- coin . [1]bronze [2]copper [3]silver [4]gold Wrong! You Entered : 0, Correct Answer : 4. - 1 : Ch. 1. The Universe Q. 43 Which of the following correctly represents the things which are found in the space between stars? [1]Oxygen, dust particles [2]Air [3]Carbon particles, some [4]Dust particles, some gasses gasses Wrong! You Entered : 0, Correct Answer : 4. - 2 : Ch. 2. The Sun, the Earth and the Moon Q. 44 The maximum duration of a total solar eclipse is ------ . [1]1 hour, 20 minutes [2]48 minutes [3]24 minutes, 10 seconds [4]7 minutes, 20 seconds Wrong! You Entered : 0, Correct Answer : 4. <www.mahaedutechnet.org> - 3 : Ch. 5. Hydrosphere Q. 45 Which of the following is the smallest of all major oceans? [1]Indian Ocean [2]Arctic Ocean [3]Pacific Ocean [4]Atlantic Ocean Wrong! You Entered : 0, Correct Answer : 2. - 4 : Ch. 8. Movement of Ocean Water Q. 46 Which of the following is a cold ocean current? [1]Somali Current [2]Benguela Current [3]North Altantic Current [4]Gulf Stream Wrong! You Entered : 0, Correct Answer : 2. - 5 : Ch. 9. Human Occupations Q. 47 Which of the following does not belong to the group of others? [1] Animal husbandry [2] Mining [3] Banking [4] Agriculture Wrong! You Entered : 0, Correct Answer : 3. (Banking is a tertiary occupation whereas the rest are primary occupations.) 1 : Ch. 1. The Constitution of India Q. 48 When did the process of making the Constitution begin? [1] in 1947 [2] in 1950 [3] in 1900 [4] in 1946 Wrong! You Entered : 0, Correct Answer : 4. <www.mahaedutechnet.org> - 2 : Ch. 3 Fundamental Rights and Duties of Citizens, Ch. 4 Directive Principles of the Constitution Q. 49 If you find, in a restaurant, a poster saying, ‘No individual is barred from entering this restaurant on the grounds of religion, caste, race or sex’, which fundamental right does it point to? [1]Right to Equality [3]Right against Exploitation [2]Right to Freedom [4]None of these Wrong! You Entered : 0, Correct Answer : 1. - 3 : Ch. 6 Union Government – The Legislature Q. 50 Which of the following does not belong to the group of others? [2]Meghalaya [1]Nagaland [3]Tripura [4]Kerala Wrong! You Entered : 0, Correct Answer : 4. Kerala is in the south, the rest are in the north