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%