ARITHMETIC ASSIGNMENT 11 – AVERAGE & ALLEGATION ASSIGNMENT 3 (SNAP & NMAT LEVEL QUESTIONS ) Q1. A start-up has 10 employees whose average age in 2010 was 45 years. in 2013, the two eldest employees retired at the age of 60 years each. In 2014, 3 new trainee employees with a combined age of 50 years joined the company. what is the average age of the company's employees in 2015? Q2. The average age of a husband and his wife was 23 years at the beginning of their marriage. After five years they have a one-year old child. The average age of the family of three, when the child was born, was A) 23 years B) 24 years C) 18 years D) 20 years E) 21 years Q3. 40 students have some average age .One new student joins them of age 25 years so that the new average age increased by 0.5 years. Find out the new average of all 41 students. A 5 years B 4.5 years C 4 years D 5.5 years Q4. The average age of 8 persons in a committee is increased by 2 years when two men aged 35 yrs and 45 yrs are substituted by two women. Find the average age of these two women Q5. 24 students collected money for donation. The average contribution was Rs. 50. Later on, their teacher also contributed some money. Now the average contribution is Rs. 56. The teacher’s contribution is: A) Rs. 200 B )Rs. 106 C) Rs. 56 D) Rs. 194 Q6. The average of marks obtained by 100 candidates in a certain examination is 30. If the average marks of passed candidates is 35 and that of the failed candidates is 10, what is the number of candidates who passed the examination? A) 60 B) 70 C) 80 ARITHMETIC ASSIGNMENT 11 – AVERAGE & ALLEGATION ASSIGNMENT 3 (SNAP & NMAT LEVEL QUESTIONS ) Q7. A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup? A.1/ 3 B.1/4 C.1/5 D.1/7 Q8. A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5? m1- basic, m2- allegation A.4 litres, 8 litres B.6 litres, 6 litres C.5 litres, 7 litres D.7 litres, 5 litres Q9. In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg? A.3 : 7 B.5 : 7 C.7 : 3 D.7 : 5 Q10. A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is A) 400 kg B) 560 kg C) 600 kg D) 640 kg Q11 . Two vessels A and B contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixtures be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8 : 5 ? 1) 12 : 17 2) 8 : 9 3) 8 : 3 4) 7 : 9 Q12. Wheat costing Rs. 30/kg, Rs. 35/kg and a third variety of wheat are mixed in the ratio of 3 ∶ 4 ∶ 2. If the mixture costs Rs. 34/kg, then what will be the cost (in Rs./kg) of the third variety of wheat? Q13. 700 gm of milk solution has 30% milk powder in it. How much milk powder should be added to make it 60% in the solution? A 478 gm B 679 gm C 375 gm D 525 gm Q14. trader had 630 kgs of rice. He sold a part of it at 15% profit and the rest at 8% profit, so that he made a total profit of 12%. How much rice (in kgs) did he sell at 8% profit? A 270 B 300 ARITHMETIC ASSIGNMENT 11 – AVERAGE & ALLEGATION ASSIGNMENT 3 (SNAP & NMAT LEVEL QUESTIONS ) Q15. A mixture of 189 lit that contain milk and water in the Ratio of 5:4. To get a new mixture containing milk and water in the ratio of 5:3 the amount of milk to be added is : Q16. In a mixture ratio of milk and water is 11:15. If 20 lit water is added in the mixture, the Ratio becomes 2:3. find the total percentage of milk in the new mixture. A 20% B 40% C 60% D 80% Q17. In a mixture of 120 liters, milk and water are in the ratio of 7:5 and in the second mixture of 180 liters, milk and water are in the ratio of 2:1. Find the percentage of total milk in the mixture of both. Q18. A mixture of 40 litres of milk and water contains 10% of water. How much water must be added to make the water 20% in the new mixture? Q19. How many liters of oil at Rs.40 per liter should be mixed with 240 liters of a second variety of oil at Rs.60 per liter so as to get a mixture whose cost is Rs.52 per liter? Q20. In what proportion must a grocer mix sugar at Rs.12/kg and Rs.7/kg so as to make a mixture worth Rs.8/kg? A 7 : 12 B1:4 C2:3 D 12 : 7 Q21. In a coaching, the ratio of boys to girls is 1 : 3 respectively. When 104 more boys join the coaching, this ratio becomes 9 : 1. How many more girls should join the coaching to make the number of boys and girls equal? Q22.In a 30 litre liquid, the ratio of syrup and water is 2 : 3. How much syrup need to be added in the mixture so that the ratio of syrup and water will be 3 : 2? ans =15 not 18 Q23. An alloy of 120gm is made of Iron, Copper and Aluminium in the ratio 7 : 9 : 4 by mass. If in an experiment on this alloy, 12gm of Iron got burnt and 3gm of Al was added. Then the new ratio of mass of Iron to Copper to Aluminium is A5:9:3 B 10 : 18 : 3 C 10 : 18 : 9 ARITHMETIC ASSIGNMENT 11 – AVERAGE & ALLEGATION ASSIGNMENT 3 (SNAP & NMAT LEVEL QUESTIONS ) Q24. vessel contains 3 litres of glycerine.1 litre of glycerine is taken out and 1 litre of water is added. Then 1 litre of this mixture is taken out and 1 litre of water is added. What is the ratio of water to glycerine in the final mixture? Q25. A certain quantity of a mixture of oil and water in the ratio 5 : 8, (called mixture A) is mixed with equal volume of another mixture of oil and water (called mixture B), such that the ratio of oil and water in the resultant mixture is 7 : 6. What is the ratio of oil and water in the mixture B? A) 9 : 13 B )9 : 4 C) 8 : 5 D) None of these Ans 1) 39 Ans 2) 18 Ans 3) 5 years Ans 4) 48 Ans 5) Rs 200 Ans 6) 80 Ans 7) 1/5 Ans 8) Option B Ans 9) 7:3 Ans10) 600 kg Ans 11) 7:9 Ans 12) 38 Ans 13- 525 Gram Ans 14- 270 Ans 15- 35 Ans 16- 40% Ans 17 – 63.33% Ans 18- 5 Ans 19- 160 Ans 20- 96 Ans 21- 15 Ans 22- 18 Ans 23- Option C Ans 24- 5:4 Ans 25- 9:4
