Aptitude

Numbers

1. What is the largest value among the following?

(a) 5^5^5^5 (b) (5^5)^5 (c) 5^55 (d) 55^5

2. If ’A’ has Rs.9 more than ‘B’ and ‘B’ has Rs.6 more than ‘C’, then which

of the following exchanges will ensure that all three have an equal

amount of money?

(a) ‘A’ gives ‘C’ Rs.4.50 (b) ‘B’ gives ‘C’ Rs.2 and ‘A’ gives ‘C’ Rs.4

(c) ‘A’ gives ‘B’ Re.1 and ‘A’ gives ‘C’ Rs.7 (d) None of these.

3. What is the value of 5^3 *6^3*7^3 ?

(a) 9426240 (b) 9261000 (c) 9120160 (d) 9864210

4.How many 1's are there in the binary form of 8*1024 + 3*64 + 3

(a) 4 (b) 8 (c) 12 (d) 1

Percentage

5. An ore contains 5% of gold. To get 52 kg of gold the quantity of ore

required is

(a) 1140 kg (b) 980 kg (c) 1040 kg (d) 1560 kg

6. Successive discounts of 20% and 15% are equal to a single discount of

(a) 30% (b) 32% (c) 34% (d) 35%

7. If on an item a company gives 25% discount, they earn 25% profit. If

they now give 10% discount then what is the profit percentage.

(a) 40% (b) 55% (c) 35% (d) 30%

8. 20% of a 6 litre solution and 60% of 4 litre solution are mixed. What

percentage of the mixture of solution

(a) 36 % (b) 18 % (c) 72 % (d) none of these

Time and Work

9. 12 boy completes a piece of work in 9 days. After 3 days, 6 boy joined

to replace 2 boy. How many days would be required to complete the

remaining work?

(a) 4 (b) 4.5 (c) 7 (d) 6

10. If it takes 5 minutes to boil one egg, how long it will take to boil four

eggs?

(a) 20 (b) 4 (c) 5 (d) 1.2

11. Two candles of the same height are lighted for the same time. The 1st

one is consumed in 4 hours and the second in 3 hours. Assuming that

each candle burns at a constant rate, in how many hours after being

lighted was the 1st candle twice the height of the second?

(a) 1.5 (b) 2 (c) 2.5 (d) None of these

12. A can have a piece of work done in 8 days, B can work three times

faster than the A, C can work five times faster than A. How many days

    will they take to do the work together ?
    (a) 3 days
    (b) 8/9 days
    (c) 4 days
    (d) can't say

13. A fast typist can type some matter in 2 hours and a slow typist can

type the same in 3 hours. If both type combinely, in how much time will

they finish?

(a) 1 hr 12 min (b) 1 hr 24 min (c) 2 hr 24 min (d) none of these

Explanation : The fast typist's work done in 1 hr = 1/2

The slow typist's work done in 1 hr = 1/3

If they work combinely, work done in 1 hr =1/2+1/3 = 5/6

So, the work will be completed in 6/5 hours. i.e., 1+1/5 hours = 1hr 12 min.

Speed, Time and Distance

14. Rajiv covers certain distance at a certain speed. If he increases his

speed by 50% then he takes 15 min less to cover the same distance.

Find the time taken by him to cover the distance at the original speed.

(a) 45 (b) 450 (c) 40 (d) none

15. Vinoth a cyclist starts from a point at the rate of 15 km/hr and after

20 minutes another cyclist Prakash starts from same point at the rate

of 20 km/hr. After how much time will prakash cross Vinoth ?

(a) 1.5 hours (b) 1 hour (c) 2 hours (d) 2.5 hours

16. Mani can row a boat in 6 kmph in still water. When the river is

running At 1.2 kmph it takes him 1 hour to row to a place and back. How

far is The place?

(a)1.38 km (b) 2.88 km (c) 3.24 km (d) 2.33 km

17. Vaigai and Pandian are the two Trains start from stations A and B

spaced 50 kms apart at the same speed and time. As the train

start, a bird flies from one train towards the other and on reaching the

second train, it flies back to the first train. This is repeated till the trains

collide. If the speed of the train is 25 km/h and that of bird is 100 km/h.

How much did the bird travel till the collision.

(a) 50 kms (b) 25 kms (c) 100 kms (d) 0 km

18. A car travels a certain distance taking 7 hrs in forward journey, during

the return journey increased speed 12km/hr takes the times 5 hrs. What

   is the distance traveled.
(a) 210 kms                     (c) 20 kms
(b) 30 kms                      (d) none of these

Age

19. A father is 30 years older than his son however he will be only thrice as

     old as the son after 5 years, what is father's present age ?
   (a) 40 yrs
   (b) 30 yrs
   (c) 50 yrs
   (d) none of these

20. In a family, a couple has a son and a daughter. The age of the father is

three times that of his daughter and the age of the son is half of his

mother. The wife is nine years younger to her husband and the brother

is seven years older than his sister. What is the age of the mother?

(a) 40 years (b) 45 years (c) 50 years (d) 60 year

Answers

1. (a)	2. (c)	3. (b)
4. (d)	5. (c)	6. (c)
7. (d)	8. (a)	9. (c)
10. (c)	11. (c)	12. (b)
14. (a)	15. (b)	16. (b)
17. (c)	18. (d)	19. (a)
20. (d)