# IBPS PO Prelims 2016 - Quantitative Aptitude

1. | Find the probability that a number from 1 to 300 is divisible by 3 or 7 ? |
---|

A. 37/75

B. 32/75

C. 36/75

D. 28/75

E. 26/75

View Answer Discuss Work SpaceAnswer: option b

Explanation:

Between 1 and 300 there are 100 multiples of 3 and 42 multiples of 7, while 14 are common multiples of 3 and 7.

So total no. of favourable cases = 100 + 42 − 14 = 128

Required probability = 128 / 300 = 32 / 75

2. | 14 men can do a work in 18 days, 15 women can do a work in 24 days. If 14 men work for first three days and 10 women work after that for three days find the part of work left after that? |
---|

A. 3/4

B. 1/4

C. 1/2

D. 1/6

E. 1/5

View Answer Discuss Work SpaceAnswer: option a

Explanation:

Work done in first 3 days = 3 × 1/18 = 1/6

Work done in next 3 days = 2/3 × 3 × 1/24 = 1/12

Remaining work = 1 – (1/6 + 1/12) = ¾

3. | A invest on some scheme at 5% and B at 3% for two year. If the total sum invested by A and B is 4000 and the simple interest received by both is same then find the amount invested by A ? |
---|

A. 1300

B. 1500

C. 2500

D. 2700

E. 2100

View Answer Discuss Work SpaceAnswer: option b

Explanation:

10% of x = 6% of y

x/y = 3/5

=> x = 1500, y = 2500

4. | Perimeter of a rectangle is x and circumference of a circle is 8 more than the perimeter of the rectangle. Ratio of radius of circle and length of the rectangle is 1:2 and ratio of length and breadth of rectangle is 7:3. Find the length of the rectangle? |
---|

A. 14

B. 21

C. 28

D. 35

E. 7

View Answer Discuss Work SpaceAnswer: option c

Explanation:

Let length and breadth are 7a, 3a

Perimeter = 20a

Circumference of circle = 20a + 8

Radius of circle = 1/2 x 7a = 3.5a

2a + 8 = 44/7 x 7/2 a

=> a = 4

=> Length = 28 cm

5. | Two trains crosses each other in 14 sec when they are moving in opposite direction, and when they are moving in same direction they crosses each other in 3 minute2 sec. Find the speed of the faster train by what percent more than the speed of the slower train? |
---|

A. 16.67%

B. 17.33%

C. 16.33%

D. 17.67%

E. 18.33%

View Answer Discuss Work SpaceAnswer: option a

Explanation:

Let sum of length of both trains = L

Speed = x & y

L / (x - y) = 182

L / (x + y) = 182

14 (x + y) = 182 (x - y)

(x - y) / (x + y) = 1/13

12x = 14y

=> x = 7/6 y

Required percentage = (7−6)/6 × 100 = 16 2/3 % or 16.67%