Sample Quantitative Aptitude Questions - IV

26. If it takes five minutes to boil one egg, how long will it take to boil four eggs?
Ans. Five minutes.
27. The minute hand of a clock overtakes the hour hand at intervals of 64   minutes of correct time. How much a day does the clock gain or lose?
Ans. 32 8/11 minutes.
28. Solve for x and y:   1/x - 1/y = 1/3, 1/x2 + 1/y2 = 5/9.
Ans. x = 3/2 or -3 and y = 3 or -3/2.
29. Daal is now being sold at Rs. 20 a kg. During last month its rate was Rs. 16 per kg. By how much percent should a family reduce its consumption so   as to keep the expenditure fixed?
Ans. 20 %.
30. Find the least value of 3x + 4y if x2y3 = 6.
Ans. 10.
31. Can you find out what day of the week was January 12, 1979?
Ans. Friday.
32. A garrison of 3300 men has provisions for 32 days, when given at a rate of 850 grams per head. At the end of 7 days a reinforcement arrives and it was found that now the provisions will last 8 days less, when given at the rate of 825 grams per head. How, many more men can it feed?
Ans. 1700 men.
33. From 5 different green balls, four different blue balls and three   different red balls, how many combinations of balls can be chosen taking at least   one green and one blue ball?
Ans. 3720.
34. Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20   & 30 minutes respectively while C can empty it in 15 minutes. If A, B & C   are kept open successively for 1 minute each, how soon will the tank be filled?
Ans. 167 minutes.
35. A person walking 5/6 of his usual rate is 40 minutes late. What is his usual time? Ans. 3 hours 20 minutes.

36.For a motorist there are three ways going from City A to City C. By way of bridge the distance is 20 miles and toll is $0.75. A tunnel between the two cities is a distance of 10 miles and toll is $1.00 for the vehicle and driver and $0.10 for each passenger. A two-lane highway without toll goes east for 30 miles to city B and then 20 miles in a northwest direction to City C.