# IBPS PO Prelims 2017 - Quantitative Aptitude

1. | Sum of the present ages of A, B, C and D is 76 years. After 7 years ratio of their ages is 7 : 6 : 5 : 8. What is C’s present age? |
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A. 14

B. 12

C. 13

D. 8

E. 10

View Answer Discuss Work SpaceAnswer: option c

Explanation:

At present sum of age = 76

After 7 years sum of age will be 7x + 6x+ 5x+ 8x = 76 + 7 × 4

26x = 76 + 28

x = 4

C’s present age = 5x – 7 = 20 – 7 = 13

2. | Sum of the length of two trains A and B is 660. The ratio of the speeds of A and B is 5 : 8. Ratio between time to cross an electric pole by A and B is 4 : 3. Find the difference in the length of two trains. |
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A. 50

B. 60

C. 80

D. 75

E. 90

View Answer Discuss Work SpaceAnswer: option b

Explanation:

Sum of length of train = 660

l1 + l2 = 660

SA : SB = 5 : 8

Let speed be 5x and 8x

And time taken to cross pole be 4y, 3y

So, 5x × 4y + 8x + 3y = 660

44xy = 660

xy = 15

l1 – l2 = 24xy – 20xy = 4xy = 60

3. | A mixture of milk and water in a jar contains 28 L milk and 8 L water. X L milk and X L water are mixed to form a mixture. If 40% of the new mixture is 20 L, then find the value of X. |
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A. 7 L

B. 8 L

C. 6 L

D. 5 L

E. 9 L

View Answer Discuss Work SpaceAnswer: option a

Explanation:

40% of new mixture = 20L

100% of new mixture = 20/40 x 100 = 50 L

28 + x + 8 + x = 50

2x = 50 – 36 x = 7L

4. | A alone can do a work in 24 days. Time taken by A in completing 1/3 of work is equal to the time taken by B in completing 1/2 of the work. In what time A and B together will complete the work? |
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A. 9 days

B. 10 days

C. 12 days

D. 48/5 days

E. 8 days

View Answer Discuss Work SpaceAnswer: option d

Explanation:

Time taken by A in completing 1/3 of work 24 x 1/3 = 8 days

8 days = time taken by B in completing 1/2 of work

B alone will complete the work = 16 days

Required time = 16 x 24 / 40 = 48/5 days

5. | Marked price of A is Rs. 1600 more than its cost price. When discount on A is 500 a profit of 25% is obtained. At what price should A be sold to obtain a 30% profit. |
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A. 4800

B. 5600

C. 5400

D. 5200

E. None of these

View Answer Discuss Work SpaceAnswer: option e

Explanation: