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PRACTICE SHEET P14 – QUANT QA5 – CHAPTER 4 - AVERAGES, Q1. The average of x numbers is y2 and the average of y numbers is x2 ., So the average of all the numbers taken together is, (1) ( x3 + y3) / ( x + y ), (2) xy, (3) ( x2 + y2) / ( x + y ), (4) xy2 + yx2, Q2. A library has an average number of 510 visitors on Sunday and 240 on other days., The average number of visitors per day in a month of 30 days beginning with Sunday, is :, (1) 285, (2) 295, (3) 300, (4) 290, Q3. 4 boys and 3 girls spent 120 on the average, of which boys spent 150 on the, average. Then the average amount spent by the girls is, (1) 80, (2) 60, (3) 90, (4) 100, Q4. The average weight of A, B and C is 45 kg. If the average weight of A and B be 40, kg and that of B and C be 43 kg, then the weight (in kg) of B is, (1) 20, (2) 26, (3) 31, (4) 17, SALMAN SIR CLASSES – BEST COACHING FOR JMI/AMU MBA ENTRANCE EXAM – CONTACT +91-7042385093

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PRACTICE SHEET P14 – QUANT QA5 – CHAPTER 4 - AVERAGES, Q5. The average of makrs of 17 students in an examination was calculated as 71. But it, was later found that the mark of one student had been wrongly entered as 65 instead, of 56 and another as 24 instead of 50. The correct average is, (1) 70, (2) 71, (3) 72, (4) 73, Q6. The average of 12 numbers is 9. If each number is multiplied by 2 and added to 3,, the average of the new set of numbers is, (1) 9, (2) 18, (3) 21, (4) 27, Q7. The average weight of five persons sitting in a boat is 38 kg. The average weight, of the boat and the persons sitting in the boat is 52kg. What is the weight of the boat ?, (1) 228 kg (2) 122 kg (3) 232 kg (4) 242 kg, Q8. Nine students of a class contribute a certain sum of money. Seven of them gave, Rs. 50 each and the other two gave respectively Rs. 50 and Rs. 90 more than the others., The average contribution of the class of 9 students is :, (1) Rs. 70 (2) Rs. 50 (3) Rs. 100 (4) Rs. 120, SALMAN SIR CLASSES – BEST COACHING FOR JMI/AMU MBA ENTRANCE EXAM – CONTACT +91-7042385093

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PRACTICE SHEET P14 – QUANT QA5 – CHAPTER 4 - AVERAGES, Q9. The average of 15 numbers is 7. If the average of the first 8 numbers is 6.5 and the, average of the last 8 numbers is 8.5, then the middle number is :, (1) 10, (2) 23, (3) 13, (4) 15, , Q10. The average of the largest and smallest 3 digit numbers formed by 0, 2 and 4, would be, (1) 312 (2) 213, (3) 222, (4) 303, Q11. The average of eight successive numbers is 6.5. The average of the smallest and, the greatest numbers among them will be :, (1) 4, (2) 6.5, (3) 7.5, (4) 9, Q12. The average temperature of the first 4 days of a week was 37°C and that of the, last 4 days of the week was 41°C. If the average temperature of the whole week was, 39°C, the temperature of the fourth day was, (1) 38°C (2) 38.5°C, (3) 39°C, (4) 40°C, SALMAN SIR CLASSES – BEST COACHING FOR JMI/AMU MBA ENTRANCE EXAM – CONTACT +91-7042385093

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PRACTICE SHEET P14 – QUANT QA5 – CHAPTER 4 - AVERAGES, Q13. Average of first five prime numbers is, (1) 5.3, (2) 5.6, (3) 5, (4) 3.6, Q14. If a, b, c, d, e are five consecutive odd numbers, their average is, (1) 5(a + 4), (2) abcde / 5, (3) 5(a + b + c + d + e), (4) a + 4, , Q15. The average of five consecutive positive integers is n. If the next two integers are, also included, the average of all these integers will, (1) increase by 1.5 (2) increase by 1 (3) remain the same (4) increase by 2, Q16. The average of 25 consecutive odd integers is 55. The highest of these integers is, (1) 79 (2) 105 (3) 155, (4) 109, , SALMAN SIR CLASSES – BEST COACHING FOR JMI/AMU MBA ENTRANCE EXAM – CONTACT +91-7042385093

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PRACTICE SHEET P14 – QUANT QA5 – CHAPTER 4 - AVERAGES, Q17. The average monthly income of A and B is 14000, that of B and C is 15600 and A, and C is 14400. The monthly income of C is, (1) 16000, (2) 15000, (3) 14000, (4) 15500, Q18. The average salary of all the workers in a workshop is 8,000. The average salary, of 7 technicians is 12,000 and the average salary of the rest is 6,000. The total number, of workers in the workshop is (1) 20 (2) 21 (3) 22, (4) 23, Q19. The average daily income of 7 men, 11 women and 2 boys is Rs. 257.50. If the, average daily income of the men is Rs.10 more than that of women and the average, daily income of the women is Rs.10 more than that of boys, the average daily income, of a man is, (1) Rs. 277.5 (2) Rs. 250 (3) Rs. 265 (4) Rs. 257, Q20. A man spends in 8 months as much as he earns in 6 months. He saves Rs. 6000 in, a year. His average monthly income is :, (1) Rs. 2400 (2) Rs. 2000 (3) Rs. 2150 (4) Rs. 1800, SALMAN SIR CLASSES – BEST COACHING FOR JMI/AMU MBA ENTRANCE EXAM – CONTACT +91-7042385093

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PRACTICE SHEET P14 – QUANT QA5 – CHAPTER 4 - AVERAGES, Q21. Of three numbers, the first is 4 times the second and 3 times the third. If the, average of all the three numbers is 95, what is the third number ?, (1) 76, (2) 60, (3) 130, (4) 57, Q22. If the arithmetic mean of 3a and 4b is greater than 50, and a is twice b, then the, smallest possible integer value of a is, (1) 20 (2) 18, (3) 21, (4) 19, Q23. The average of three numbers is 28, the first number is half of the second, the, third number is twice the second, then the third number is, (1) 48 (2) 36, (3) 24, (4) 18, , Q24. Out of 4 numbers, whose average is 60, the first one is one - fourth of the sum of, the last three. The first number is, (1) 15 (2) 45 (3) 48, (4) 60, SALMAN SIR CLASSES – BEST COACHING FOR JMI/AMU MBA ENTRANCE EXAM – CONTACT +91-7042385093

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PRACTICE SHEET P14 – QUANT QA5 – CHAPTER 4 - AVERAGES, Q25. There are 50 students in a class. One of them weighing 50 kg goes away and a, new student joins. By this the average weight of the class increases by 1 / 2 kg. The, weight of the new student is : (1) 70 kg, (2) 72 kg, (3) 75 kg, (4) 76 kg, , Q26. The average weight of three men A, B and C is 84 kg. D joins them and the, average weight of the four becomes 80 kg. If E whose weight is 3 kg more than that of, D, replaces A, the average weight of B, C, D and E becomes 79 kg. The weight of A is, (1) 65 kg. (2) 70 kg., (3) 75 kg., (4) 80 kg, Q27. The average of marks in Mathematics for 5 students was found to be 50. Later, it, was discovered that in the case of one student the marks 48 were misread as 84. The, correct average is : (1) 40.2, (2) 40.8, (3) 42.8, (4) 48.2, Q28. In an examination, the average of marks was found to be 50. For deducting marks, for computational errors, the marks of 100 candidates had to be changed from 90 to 60, each and so the average of marks came down to 45. The total number of candidates,, who appeared at the examination, was (1) 600, (2) 300, (3) 200, (4) 150, SALMAN SIR CLASSES – BEST COACHING FOR JMI/AMU MBA ENTRANCE EXAM – CONTACT +91-7042385093

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PRACTICE SHEET P14 – QUANT QA5 – CHAPTER 4 - AVERAGES, Q29. The average of runs of a cricket player of 10 innings was 32. How many runs, must he make in his next inning so as to increase his average of runs by 4 ?, (1) 76, (2) 70, (3) 4, (4) 2, Q30. A cricketer whose bowling average is 24.85, runs per wicket, takes 5 wickets for, 52 runs and thereby decreases his average by 0.85. The number of wickets taken by, him till the last match was :, (1) 64, (2) 72, (3) 80, (4) 96, Q31. Sachin Tendulkar has a certain average for 11 innings. In the 12th innings he, scores 120 runs and thereby increases his average by 5 runs. His new average is, (1) 60, (2) 62, (3) 65, (4) 66, Q32. In the first 10 overs of a cricket game, the run rate was only 3.2. The run rate in, the remaining 40 overs to reach the target of 282 runs is, (1) 6.4, (2) 6.3, (3) 6.25, (4) 6.5, SALMAN SIR CLASSES – BEST COACHING FOR JMI/AMU MBA ENTRANCE EXAM – CONTACT +91-7042385093

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PRACTICE SHEET P14 – QUANT QA5 – CHAPTER 4 - AVERAGES, Q33. The average of five numbers is 7. If three new numbers would be added, then, the new average comes out to be 8.5. What is the average of those three new numbers?, (1) 9, (2) 10.5, (3) 11, (4) 11.5, Q34. The average of 50 numbers is 38. If two numbers namely 45 and 55 are discarded,, the average of the remaining numbers is :, (1) 35 (2) 32.5, (3) 37.5, (4) 36, Q35. If the mean of 4 observations is 20, when a constant ‘C’ is added to each, observation, the mean becomes 22. The value of C is :, (1) 6, (2) –2, (3) 2, (4) 4, Q36. The average weight of 40 children of a class is 36.2 kg. When three more children, with weight 42.3 kg, 39.7 kg and 39.5 kg join the class, the average weight of the 43, children in the class is, (1) 39.2 kg (2) 36.5 kg (3) 38.35 kg, (4) 37.3 kg, SALMAN SIR CLASSES – BEST COACHING FOR JMI/AMU MBA ENTRANCE EXAM – CONTACT +91-7042385093

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PRACTICE SHEET P14 – QUANT QA5 – CHAPTER 4 - AVERAGES, Q37.The average age of Ram and his two children is 17 years and the average age of, Ram’s wife and the same children is 16 years. If the age of Ram is 33 years, the age of, his wife is (in years):, (1) 31 (2) 32, (3) 35, (4) 30, Q38. The average age of 8 men is increased by 2 years when two of them whose age, are 21 and 23 years replaced by two new men. The average age of the two new men is, (1) 22 years (2) 24 years (3) 28 years (4) 30 years, Q39. In a family of 5 members, the average age at present is 33 years. The youngest, member is 9 years old. The average age of the family just before the birth of the, youngest member was, (1) 30 years (2) 29 years (3) 25 years (4) 24 years, , Q40. 5 years ago, the average age of P and Q was 15 years. Average age of P, Q and R, today is 20 years. How old will R be after 10 years?, (1) 35 years (2) 40 years (3) 30 years, (4) 50 years, SALMAN SIR CLASSES – BEST COACHING FOR JMI/AMU MBA ENTRANCE EXAM – CONTACT +91-7042385093

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PRACTICE SHEET P14 – QUANT QA5 – CHAPTER 4 - AVERAGES, Q41. The average temperature of Monday, Tuesday , Wednesday and Thursday is 60°., The average temperature for Tuesday, Wednesday, Thursday and Friday is 63°., If the ratio of temperature for Monday and Friday is 21 : 25, then what is the, temperature of Friday ?, (1) 70°, (2) 73°, (3) 75°, (4) 78°, Q42. A company produces an average of 4000 items per month for the first 3 months., How much items, it must produce on an average per month over the next 9 months to, average 4375 items per month over the whole year?, (1) 4500, (2) 4600, (3) 4680, (4) 4710, Q43. The average pocket money of 3 friends A, B, C is 80 in a particular month. If B, spends double and C spends triple of what A spends during that month and if the, average of their unspent pocket money is 60, then A spends, (1) 10, (2) 20, (3) 30, (4) 40, SALMAN SIR CLASSES – BEST COACHING FOR JMI/AMU MBA ENTRANCE EXAM – CONTACT +91-7042385093

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PRACTICE SHEET P14 – QUANT QA5 – CHAPTER 4 - AVERAGES, , Q44. A librarian purchased 60 story books for his library. But he found that he could, get 4 extra books by spending Rs. 336 more and then the overall average price per, book would be reduced by Re 1. The previous average price of each book was, (1) Rs. 84 (2) Rs. 83 (3) Rs. 68, (4) Rs. 100, Q45. The average amount that each student has is Rs. 167.75. When a student having, Rs. 183.45 joins the group, the new average that each student has is now Rs. 170.89., Find the number of people originally in the group., (1) 7, (2) 3, (3) 5, (4) 4, Q46. The average age of a class of 24 students and 1 teacher is 15 years. If the teacher is, not considered, the average age of the students is 14 years. What is the age of the, teacher? (1) 37, (2) 33, (3) 39, (4) 34, Q47. A set contains the first 20 natural numbers, except one of them. If the average of, 13, the set is 10 , find the number which is absent., 19, (1) 7, (2) 3, (3) 5, (4) 4, SALMAN SIR CLASSES – BEST COACHING FOR JMI/AMU MBA ENTRANCE EXAM – CONTACT +91-7042385093

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PRACTICE SHEET P14 – QUANT QA5 – CHAPTER 4 - AVERAGES, Q48. When a student weighing 68 kgs joins a group of 8 students, the average of the, group increases by 1.5 kgs. Find the average of the original group., 1. 53, 2. 54.5, 3. 56, 4. 57.5, 5. None of these, Q49. If a student weighing 70 kgs joins a group of n students, the average of the group, increases by 1 kgs. If the new student weighed 55 kgs, the average of the group would, have declined by 2 kgs. Find n., 1. 3, 2. 4, 3. 5, 4. 6, 5. 7, Q50. The average of n consecutive natural numbers is 17.5. What is the largest value, that n can assume?, 1. Infinite 2. 34, 3. 35, 4. 36, 5. 18, , Q51. How many litres of solutions having 30% milk and 70% milk should be mixed so, that we get 40 litres of 45% milk solution?, 1. 10 , 30, 2. 12 , 28, 3. 15 , 25, 4. 20 , 20, 5. 25 , 15, SALMAN SIR CLASSES – BEST COACHING FOR JMI/AMU MBA ENTRANCE EXAM – CONTACT +91-7042385093

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PRACTICE SHEET P14 – QUANT QA5 – CHAPTER 4 - AVERAGES, Q52. Two vessels having volumes in the ratio 3 : 5 are filled with water and milk, solutions. The ratio of milk and water in the two vessels is 2 : 3 and 3 : 1 respectively., If the contents of both the vessel are emptied into a larger vessel, find the ratio of milk, and water in the larger vessel., 1. 99 : 61, 2. 99 : 160, 3. 61 : 160, 4. 61 : 99, 5. None of these, Q53. 12 litres of a milk and water solution having ratio of milk and water as 4 : 1 is, mixed with 20 litres of another milk and water solution having ratio of milk and water, in the ratio 5 : 1. Find the ratio of milk and water in the resultant solution., 1. 43 : 240 2. 43 : 197, 3. 197 : 240, 4. 197 : 43, 5. None of these, Q54. A milk-man mixes water equal to 20% of the quantity of milk he has, to the milk., Suspecting that his customers will notice the dilution, he decides to add pure milk to, the mixture such that the ratio of milk and water increases to 17 : 3. If he had added 12, litres of water, how much litres of milk will he need to add., 1. 6, 2. 8, 3. 10, 4. 12, 5. 15, SALMAN SIR CLASSES – BEST COACHING FOR JMI/AMU MBA ENTRANCE EXAM – CONTACT +91-7042385093

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PRACTICE SHEET P14 – QUANT QA5 – CHAPTER 4 - AVERAGES, Q55. Contents of three vessels having volumes in the ratio of 2 : 3 : 4 and having, solutions with milk concentrations of 40%, 30% and 20% are mixed together in a, fourth large vessel. Find the concentration of milk after the mixing., 1. 30 %, 2. 27.7 %, 3. 27.2 %, 4. 26.1 %, 5. 33 %, Q56. Ramesh sells one-third of his goods at a profit of 20 %. One-third of the, remaining goods get damaged and have to sold at a loss of 10 %. At what minimum, profit percentage should the rest of the goods be sold such that Ramesh makes an, overall profit of atleast 10%? 1. 16.25 % 2. 15 %, 3. 14.28 %, 4. 12.5 %, 5. 10 %, Q57. A solution has 60% milk and rest water. If 10% of it is removed and replaced, with water thrice, what is the percentage of milk left in the solution?, 1. 31.74 %, 2. 55 %, 3. 34.28 %, 4. 32.5 %, 5. 30 %, Q58. From a can containing milk, 10% is removed and replaced with water. Next, 11.11% of the solution is removed and replaced with water. Further 12.5% of the, solution is removed and replaced with water. What is the percentage of milk in the, solution now? 1. 75 %, 2. 70 %, 3. 78 % 4. 72.5 % 5. 80 %, SALMAN SIR CLASSES – BEST COACHING FOR JMI/AMU MBA ENTRANCE EXAM – CONTACT +91-7042385093