Integra Arithmetic Ability Questions with Answers

Posted on :21-04-2016
Q1. 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.

Q2. Find the smallest number in a GP whose sum is 38 and product 1728.

(a) 12
(b) 20
(c) 8
(d) none of these

ANS: (c)

Q3. The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how much younger is the new member?

ANS: 40 years.

Q4. Pipe A can fill in 20 minutes and Pipe B in 30 mins and Pipe C can empty the same in 40 mins. If all of them work together, find the time taken to fill the tank.

(a) 17 1/7 mins
(b) 20 mins
(c) 8 mins
(d) none of these

ANS: (a)

Q5. One dog tells the other that there are two dogs in front of me. The other one also shouts that he too had two behind him. How many are they?

ANS: Three.

Q6. If it takes five minutes to boil one egg, how long will it take to boil four eggs?

ANS: Five minutes.

Q7. 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 %.

Q8. A man ate 100 bananas in five days, each day eating 6 more than the previous day. How many bananas did he eat on the first day?

ANS: Eight.

Q9. 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.

Q10. 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.

Q11. Find the least value of 3x + 4y if x2y3 = 6.

ANS: 10.

Q12. Can you find out what day of the week was January 12, 1979?

ANS: Friday.

Directions for questions 13 to 16:

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.

Q13. Jim usually drives alone from City C to City A every working day. His firm deducts a percentage of employee pay for lateness. Which factor would most influence his choice of the bridge or the tunnel?

(a) Whether his wife goes with him
(b) scenic beauty on the route
(c) Traffic conditions on the road, bridge and tunnel
(d) saving \$0.25 in tolls
(e) price of gasoline consumed in covering additional
10 miles on the bridge

ANS: (a)

Q14. Which is the shortest route from B to C?

(a) Directly on toll free highway to City C
(b) The bridge
(c) The Tunnel
(d) The bridge or the tunnel
(e) The bridge only if traffic is heavy on the toll free highway

ANS: (a)

Q15. In choosing between the use of the bridge and the tunnel the chief factor(s) would be:

I. Traffic and road conditions
II. Number of passengers in the car
III. Location of ones homes in the center or outskirts of one of the cities
IV. Desire to save \$0.25

(a) I only
(b) II only
(c) II and III only
(d) III and IV only
(e) I and II only

ANS: (a)

Q16. The most economical way of going from City A to City B, in terms of toll and distance is to use the

(a) tunnel
(b) bridge
(c) bridge or tunnel
(d) toll free highway
(e) bridge and highway

ANS: (a)

Q17. 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.

Q18. 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.

Q19. A person walking 5/6 of his usual rate is 40 minutes late. What is his usual time?

ANS: 3 hours 20 minutes.

Q20. Thirty men take 20 days to complete a job working 9 hours a day. How many hour a day should 40 men work to complete the job?

(a) 8 hrs
(b) 7 1/2 hrs
(c) 7 hrs
(d) 9 hrs

ANS: (b)

Directions for questions 21 to 24:

The letters A, B, C, D, E, F and G, not necessarily in that order, stand for seven consecutive integers from 1 to 10

D is 3 less than A
B is the middle term
F is as much less than B as C is greater than D
G is greater than F

Q21. A is as much greater than F as which integer is less than G?

(a) A
(b) B
(c) C
(d) D
(e) E

ANS: (a)

Q22. A - F = ?

(a) 1
(b) 2
(c) 3
(d) 4
(e) Cannot be determined

ANS: (a)

Q23. The fifth integer is

(a) A
(b) C
(c) D
(d) E
(e) F

ANS: (a)

Q24. If A = 7, the sum of E and G is

(a) 8
(b) 10
(c) 12
(d) 14
(e) 16

ANS: (a)

Q25. A boat travels 20 kms upstream in 6 hrs and 18 kms downstream in 4 hrs. Find the speed of the boat in still water and the speed of the water current?

(a) 1/2 kmph
(b) 7/12 kmph
(c) 5 kmph
(d) none of these

ANS: (b)

Q26. A goat is tied to one corner of a square plot of side 12m by a rope 7m long. Find the area it can graze?

(a) 38.5 sq.m
(b) 155 sq.m
(c) 144 sq.m
(d) 19.25 sq.m

ANS: (a)

Q27. Mr. Shah decided to walk down the escalator of a tube station. He found that if he walks down 26 steps, he requires 30 seconds to reach the bottom. However, if he steps down 34 stairs he would only require 18 seconds to get to the bottom. If the time is measured from the moment the top step begins to descend to the time he steps off the last step at the bottom, find out the height of the stair way in steps?

ANS: 46 steps.

Q28. If 2x - y = 4 then 6x - 3y = ?

(a) 15
(b) 12
(c) 18
(d) 10

ANS: (b)

Q29. If x = y = 2z and xyz = 256 then what is the value of x?

(a) 12
(b) 8
(c) 16
(d) 6

ANS: (b)

Q30. (1/10)18 - (1/10)20 = ?

(a) 99/1020
(b) 99/10
(c) 0.9
(d) none of these

ANS: (a)

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