# Quantitative Aptitude Questions for IBPS Exam Set – 31

Hello Aspirants. Welcome to Online Quantitative Aptitude section in AffairsCloud.com. Here we are creating question sample From all topics , which are Important for upcoming IBPS and RRB exams. We have included Some questions that are repeatedly asked in exams.

1. Two pipes A and B can fill a cistern in 37 1/2 minutes and 45 minutes resp. Both pipes are opened. The cistern will be filled in just half an hour, if the pipe B is turned off after
A. 5 min
B. 9 min
C. 10 min
D. 15 min
B. 9 min
Explanation:
Let B is turned off after ‘x’ min.
Cistern fills in 30 min, this means pipe A works for 30 mins.
37 1/2 min = 75/2 min
1/(2/75) * 30 + 1/45 * x = 1

2. A boat takes 90 minutes less to travel 36 km downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 km/hr, the speed of stream is
A. 2 km/hr
B. 2.5 km/hr
C. 3 km/hr
D. 4 km/hr
A. 2 km/hr
Explanation:
Let speed of stream = x km/hr
Speed downstream = 10+x, speed upstream = 10-x
36/(10-x) – 36/(10+x) = 90/60

3. The sides of a rectangular field are in the ratio 3 : 4. If the area of the field is 7500 sq. m, the cost of fencing the field @ 25 paise per metre is
A. Rs 55.50
B. Rs 67.50
C. Rs 86.50
D. Rs 87.50
D. Rs 87.50
Explanation:
Length = 3x, breadth = 4x
3x * 4x = 7500 gives x = 25
Length = 75m, breadth = 100m
Perimeter = 2(75+100) = 350m
Cost of fencing = 350 * 0.25 = Rs 87.50

4. A and B can do a piece of work in 15 days and 20 days respectively. They start working on alternate days with B starting the work. In how many days the work will be completed.
A. 17 days
B. 18 2/3 days
C. 16 1/4 days
D. 17 1/4 days
D. 17 1/4 days
Explanation:
LCM (15, 20) = 60
So total work = 60
A’s efficiency = 60/15 = 4
B’s efficiency = 60/20 = 3
2 days work (A+B) = 4+3 = 7
Multiply by 8 both side
16 days work (A+B) = 56
Remaining work = 60-56 = 4
Now B’s turn on 17th day, he does work with efficiency 3
Now remaining work = 4-3 = 1
Now A’s turn, he will complete remaining work in 1/4 day
So total 17 1/4 days.

5. One card is drawn from a pack of 52 cards. What is the probability that the card drawn is either a red card or a king?
A. 1/2
B. 6/13
C. 7/13
D. 15/26
C. 7/13
Explanation:
26C1/52C1 + 2C1/52C1

6. A and B start from the same place and have to travel a distance of 25 km. A leaves at 9 AM and walks at a speed of 4 km/hr, while B leaves at 11:30 AM on a bicycle at a speed of 9 km/hr. When do they meet?
A. 12:00 noon
B. 1:00 PM
C. 1:30 PM
D. 2:30 PM
C. 1:30 PM
Explanation:
At 11:30, i.e. after 2 n half hours from 9 AM, A (speed = 4 km/hr) has covered a distance of 5/2 * 4 = 10 km
So now at 11:30 AM, A is 10 km far from B, B has to overcome this 10 km distance
They are travelling in same direction, so relative speed = 9- 4 = 5 km/hr
After 11:30 AM, they meet at 10/5 = 2 hrs
11:30 + 2 hrs = 1:30 PM

7. Two trains start at the same time from A and B and proceed towards each other at 80 km/hr and 95 km/hr resp. When the trains meet, it is found that one has travelled 180 km more than the other. Find the distance between A and B.
A. 210 km
B. 2000 km
C. 2100 km
D. 2010 km
C. 2100 km
If one has covered x km, then other has covered (x+180) km. The one with more speed (95) must have covered more distance (x+180).
Since both start at same time, when they meet they have travelled equal time. So
x/80 = (x+180)/95
x = 960
Total distance covered by them = x + x+180 = 2x+180 = 2*960 + 180 = 2100

8. A can finish a work in 15 days at 8 hrs a day. B can finish it in 6 2/3 days at 9 hrs a day. Find in how many days can they finish the work working together 10 hrs a day
A. 4 days
B. 6 days
C. 10 days
D. 40 days
A. 4 days
Explanation:
A completes a work in 15*8 = 120 hrs
B completes a work in 20/3 *9 = 60 hrs
So together they finish in 120*60/(120+60) = 40 hrs
Since they work for 10 hrs a day, they complete work in 40/10 = 4 days

9. How many different groups can be selected for playing tennis out of 4 women and 3 men, there being one woman and one man on each side?
A. 72
B. 75
C. 80
D. 64
A. 72
Explanation:
For first group:
For 1 woman out of 4 women, we have 4C1 ways
For 1 man out of 3 men, we have 3C1 ways
So total 4C1 * 3C1 = 12
For second group: 3 women and 2 men left
For 1 woman out of 3 women, we have 3C1 ways
For 1 man out of 2 men, we have 2C1 ways
So total 3C1 * 2C1 = 6
So total different groups = 12*6 = 72

10. A certain number of men can do a work in 60 days. If there were 8 men more it could be finished in 10 days less. How many men are there?
A. 20
B. 30
C. 40
D. 50
C. 40
Explanation:
Let initially ‘x’ men, they work in 60 days
‘x+8’ men do work in (60-10) = 50 days. So
x * 60 = (x+8) * 50
x = 40

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