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University Aptitude Assessment: Comprehensive Numerical Ability

Questions
University (Grade 16)
English

University Aptitude Assessment: Comprehensive Numerical Ability

Quantitative Aptitude Assessment

Topic: Average
Q1. The average age of a group of 10 students is 15 years. When a new student joins, the average age increases by 1 year. What is the age of the new student? A. 16 years B. 26 years C. 25 years D. 24 years
Q2. The average of 5 consecutive odd numbers is 61. What is the difference between the highest and lowest numbers? A. 10 B. 12 C. 4 D. 8
Q3. A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after the 17th inning. A. 39 B. 36 C. 42 D. 45
Topic: Interest (Simple & Compound)
Q4. A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is: A. Rs. 650 B. Rs. 690 C. Rs. 698 D. Rs. 700
Q5. Find the compound interest on Rs. 10,000 for 2 years at 10% per annum, compounded annually. A. Rs. 2,000 B. Rs. 1,100 C. Rs. 2,200 D. Rs. 2,100
Topic: Percentage
Q6. If 20% of A = 50% of B, then what percentage of A is B? A. 30% B. 40% C. 250% D. 15%
Q7. In an election between two candidates, one got 55% of the total valid votes. 20% of the votes were invalid. If the total number of votes was 7500, what was the number of valid votes that the other candidate got? A. 2700 B. 2900 C. 3000 D. 3100
Topic: Ratio and Proportion
Q8. If A:B = 2:3 and B:C = 4:5, then A:B:C is: A. 8:12:15 B. 2:4:5 C. 6:9:10 D. 10:15:18
Q9. The ratio of the number of boys and girls in a college is 7:8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio? A. 8:9 B. 17:18 C. 21:22 D. 22:21
Topic: Profit and Loss
Q10. A person sells an article at a profit of 10%. If he had bought it at 10% less and sold it for Rs. 3 more, he would have gained 25%. Find the cost price. A. Rs. 100 B. Rs. 150 C. Rs. 120 D. Rs. 200
Q11. By selling 33 meters of cloth, a person gains the cost price of 11 meters. Find the gain percent. A. 33.33% B. 25% C. 50% D. 10%
Topic: Speed, Time, and Distance
Q12. A car travels at 54 km/hr. What is its speed in meters per second? A. 10 m/s B. 12 m/s C. 20 m/s D. 15 m/s
Q13. A man covers a certain distance at 60 km/hr and returns to the starting point at 40 km/hr. Find his average speed for the whole journey. A. 50 km/hr B. 48 km/hr C. 45 km/hr D. 52 km/hr
Topic: Time and Work
Q14. A can do a piece of work in 10 days and B can do it in 15 days. In how many days will they finish it working together? A. 5 days B. 8 days C. 6 days D. 12 days
Q15. 10 men can complete a work in 7 days. How many men are required to complete the same work in 5 days? A. 12 B. 14 C. 15 D. 16
Topic: Alligation or Mixture
Q16. In what ratio must rice at Rs. 9.30 per kg be mixed with rice at Rs. 10.80 per kg so that the mixture be worth Rs. 10 per kg? A. 7:8 B. 3:5 C. 5:3 D. 8:7
Q17. A milkman has 20 liters of milk. He mixes 5 liters of water. If the cost of pure milk is Rs. 18 per liter, then what is the cost of the mixture per liter? A. Rs. 14.40 B. Rs. 15.00 C. Rs. 16.00 D. Rs. 17.20
Topic: Partnership
Q18. A and B start a business with Rs. 50,000 and Rs. 45,000 respectively. After 4 months, A withdraws half of his capital and B withdraws half of his capital. C joins with Rs. 70,000. At the end of the year, in what ratio will the profit be divided? A. 10:9:14 B. 20:18:21 C. 15:14:18 D. 40:36:49
Topic: Problems on Trains
Q19. A train 150m long passes a pole in 15 seconds. What is the speed of the train in km/hr? A. 36 km/hr B. 54 km/hr C. 45 km/hr D. 30 km/hr
Q20. Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train is: A. 50 sec B. 45 sec C. 48 sec D. 54 sec
Topic: Problems on Ages
Q21. The ratio of the ages of Father and Son is 7:3. The product of their ages is 756. The ratio of their ages after 6 years will be: A. 5:2 B. 2:1 C. 11:7 D. 13:9
Topic: Calendar
Q22. If today is Monday, what day will it be after 61 days? A. Wednesday B. Tuesday C. Thursday D. Saturday
Topic: Clock
Q23. At what angle are the hands of a clock inclined at 15 minutes past 4? A. 37.5° B. 45° C. 52.5° D. 60°
Topic: Chain Rule
Q24. If 15 mats can be woven by 6 women in 2 days, how many mats can be woven by 10 women in 3 days? A. 30 B. 35 C. 37.5 D. 40
Topic: Pipes and Cistern
Q25. Pipe A can fill a tank in 20 hours while Pipe B can fill it in 30 hours. If both are opened, how long will it take to fill the tank? A. 10 hours B. 12 hours C. 15 hours D. 25 hours
Topic: Boats and Streams
Q26. A man can row upstream at 7 km/hr and downstream at 11 km/hr. Find the man's rate in still water. A. 9 km/hr B. 2 km/hr C. 4 km/hr D. 18 km/hr
Topic: Races and Games
Q27. In a 100m race, A beats B by 10m and B beats C by 10m. By how many meters does A beat C? A. 20m B. 19m C. 21m D. 18m
Topic: Stocks and Sharesn
Q28. Find the cost of 96 shares of Rs. 10 each at

premium. A. Rs. 960 B. Rs. 1000 C. Rs. 1032 D. Rs. 1100
Topic: Mixed Difficulty Advanced Problems
Q29. The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What is the weight of the new person? A. 70 kg B. 85 kg C. 75 kg D. 80 kg
Q30. A sum was put at simple interest at a certain rate for 3 years. Had it been put at 2% higher rate, it would have fetched Rs. 360 more. Find the sum. A. Rs. 4000 B. Rs. 5000 C. Rs. 4500 D. Rs. 6000
Q31. If the price of sugar increases by 20%, by what percentage must a housewife reduce her consumption so as not to increase her expenditure? A. 20% B. 16.67% C. 25% D. 15%
Q32. Rs. 6400 are divided among three workers in the ratio

. The share of the second worker is: A. Rs. 3000 B. Rs. 3200 C. Rs. 2560 D. Rs. 3500
Q33. A man buys a field for Rs. 850. He sells 1/3 of it at a loss of 10%. At what gain % must he sell the remainder to gain 10% on the whole? A. 15% B. 25% C. 20% D. 10%
Q34. A and B can do a work in 12 days, B and C in 15 days, and C and A in 20 days. How long will A take to complete the work alone? A. 30 days B. 40 days C. 20 days D. 60 days
Q35. A mixture of 40 liters of milk and water contains 10% water. How much water must be added to make the water content 20%? A. 4 liters B. 6.5 liters C. 7.5 liters D. 5 liters
Q36. A train passes a platform 100m long in 60 seconds at 60 km/hr. Time taken to pass a man walking at 6 km/hr in the same direction is: A. 54 sec B. 50 sec C. 60 sec D. 63 sec
Q37. 10 years ago, A was half of B in age. If the ratio of their present ages is 3:4, find the sum of their present ages. A. 30 B. 35 C. 40 D. 45
Q38. How many times do the hands of a clock coincide in a day (24 hours)? A. 24 B. 21 C. 44 D. 22
Q39. On what dates of July 2004 did Monday fall? A. 5, 12, 19, 26 B. 6, 13, 20, 27 C. 7, 14, 21, 28 D. 4, 11, 18, 25
Q40. Two pipes A and B can fill a tank in 24 and 32 min respectively. If both pipes are opened, after how much time should B be closed so that the tank is full in 18 min? A. 6 min B. 8 min C. 10 min D. 12 min
Q41. A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km downstream. What is the speed of the boat in still water? A. 8 km/hr B. 5 km/hr C. 3 km/hr D. 11 km/hr
Q42. In a 500m race, the ratio of speeds of A and B is 3:4. A has a start of 140m. Then A wins by: A. 10m B. 15m C. 20m D. 25m
Q43. If 12 men and 16 boys can do a piece of work in 5 days; 13 men and 24 boys can do it in 4 days, then the ratio of daily work done by a man to that of a boy is: A. 3:1 B. 2:1 C. 3:2 D. 5:4
Q44. A person invested Rs. 4500 in 2% stock at 90. The annual income is: A. Rs. 100 B. Rs. 90 C. Rs. 120 D. Rs. 150
Q45. A, B, and C enter into partnership. A invests 3 times as much as B and B invests two-third of what C invests. At the end, the profit is Rs. 6600. What is B's share? A. Rs. 1200 B. Rs. 1500 C. Rs. 1800 D. Rs. 2100
Q46. The average temperature for Monday, Tuesday, and Wednesday was 40°C. The average for Tuesday, Wednesday, and Thursday was 41°C. If Thursday was 38°C, find the temperature for Monday. A. 39°C B. 36°C C. 35°C D. 37°C
Q47. A's salary is 40% of B's salary which is 25% of C's salary. What percentage of C's salary is A's salary? A. 5% B. 10% C. 20% D. 15%
Q48. A man walks at 4 km/hr and reaches office 5 min late. If he walks at 5 km/hr, he reaches 10 min early. What is the distance to his office? A. 5 km B. 10 km C. 4 km D. 6 km
Q49. At what rate percent per annum will a sum of money double in 8 years under Simple Interest? A. 10% B. 15% C. 12.5% D. 8%
Q50. The difference between Simple Interest and Compound Interest on Rs. 2500 for 2 years at 4% p.a. is: A. Rs. 40 B. Rs. 4 C. Rs. 14 D. Rs. 2