Dear Aspirants, Our IBPS Guide team is providing new series of Quants Questions for IBPS Clerk Prelims 2022 so the aspirants can practice it on a daily basis. These questions are framed by our skilled experts after understanding your needs thoroughly. Aspirants can practice these new series questions daily to familiarize with the exact exam pattern and make your preparation effective.
Start Quiz
1) Two stations A and B are 310 km apart on a straight line. One train starts from A at 10 a.m. and travels towards B at 40 km/hr. Another train starts from B at 11 a.m. and travels towards A at a speed of 50 km/hr. At what time will they meet?
A.3 pm
B.1 pm
C.2 pm
D.4 pm
E.None of these
2) A train crosses a 450 m long platform in 28 seconds and the same train crosses a man standing in a platform in 10 seconds. What is the time taken by the same train crosses 200m tunnel?
A.12 seconds
B.15 seconds
C.16 seconds
D.18 seconds
E.None of these
3) Two trains A and B running in opposite direction at the speed of 60 kmph and 72 kmph respectively. Length of train A and B is 300 m and 360 m respectively. In how much time will they take to cross each other?
A.24 seconds
B.18 seconds
C.12 seconds
D.36 seconds
E.None of these
4) Train A crosses the tunnel which is double the length of train A in 18 seconds and train A crosses a 200m long train B running in opposite direction at the speed of 60 kmph in 9 seconds. Find the length of the tunnel?
A.100 m
B.200 m
C.180 m
D.300 m
E.None of these
5) The speed of two trains is in the ratio of 8: 5. They are moving in opposite directions along the parallel tracks. If each takes 6 seconds to cross a pole, find the time taken by the train to cross each other completely.
A.2 seconds
B.4 seconds
C.6 seconds
D.8 seconds
E.None of these
6) Two trains start at the same time from P and Q and moves towards each other in opposite direction at the speed of 80 and 95 km/hr respectively. When they meet, it is found that fastest train covers 210 km more than the other. Find the distance between P and Q.
A.2540 km
B.2656 km
C.2310 km
D.2450 km
E.None of these
7) If the length of the train A is 140 m crossed a platform of length 160 m in 10 seconds and another train B of length 152 m with the speed of 30% more than that of train A. Then how much time will train B take to cover the same platform.
A.5 seconds
B.6 seconds
C.10 seconds
D.8 seconds
E.None of these
8) Train A crosses a pole in 15 seconds and another train B crosses a pole in 25 seconds. The length of train A is half of length of train B. Find the ratio of the speeds of train A to that of train B?
A.5: 6
B.11: 8
C.14: 9
D.7: 5
E.None of these
9) If the train crosses 450 m long tunnel in 36 seconds and the same train crosses a pole in 18 seconds, then what is the speed of train?
A.60 kmph
B.80 kmph
C.90 kmph
D.40 kmph
E.None of these
10) If 180 m long train A crosses a platform of double the train’s length in 32.4 seconds and also train A crosses 220 m long train B running in same direction at the speed of 80 kmph in x seconds. Find the value of x?
A.75
B.78
C.54
D.84
E.None of these
Answers :
1) Answer: C
They meet x hours after 10 a.m.
Distance covered by A in x hours = 40x km
Distance covered by B in (x – 1) hours = 50 * (x – 1) km
40x + 50 * (x – 1) = 310
40x + 50x – 50 = 310
9x = 360
x = 4
They meet at 2 p.m.
2) Answer: D
Length of the train = x
Speed of train = y
450 + x = y * 5/18 * 28
4050 + 9x = 70y
x = y * 5/18 * 10
9x = 25y
4050 + 25y = 70y
y = 90 kmph
x = 250 m
Required time = [(250 + 200)/90] * 18/5 = 18 seconds
3) Answer: B
Required time = (300 + 360)/((60 + 72) * 5/18)
= 18 seconds
4) Answer: B
Length of train A = x
Length of Tunnel = 2x
Speed of train A = y
x + 2x = y * 5/18 * 18
3x = 5y
x+ 200 = (y + 60) * 5/18 * 9
2x + 400 = 5y + 300
2x + 400 = 3x + 300
x = 100
Length of tunnel = 2 * 100 = 200 m
5) Answer: C
Time taken by the trains to cross each other = (t1 * x + t2 * y)/(x + y)
= (6 * 8 + 6 * 5)/(8 + 5)
= (48 + 30)/13
= 6 seconds
6) Answer: D
Distance = time * speed
Let the time taken by them to meet each other be x then,
95x – 80x = 210
x = 14 h
Required distance = (80 + 95) * 14 = 2450 km
7) Answer: D
Total length (length of train + length of platform) = 140 + 160 = 300 m
Speed of train A = 300/10 = 30 m/s
Speed of train B = 130/100 x 30 = 39 m/s
Time taken by train B to cover the distance = (152 + 160)/39 = 8 seconds
8) Answer: A
Let the length of train A be x,
Length of train B = 2x
Speed = Distance/Time
Required ratio = (x/15): (2x/25) = 5: 6
9) Answer: C
Length of train = x
Speed of train = y
x + 450 = y * 5/18 * 36
x + 450 = 10y
x = y * 5/18 * 18
x = 5y
5y + 450 = 10y
5y = 450
y = 90 kmph
10) Answer: E
Speed of train A = ((180 + 360) * 18/5)/32.4 = 60 kmph
x = ((180 + 220) * 18/5)/(80 – 60)
= 72 seconds
Start Quiz
11) A train crosses a pole in 45 seconds with a speed of 36 km/hr. It crosses another train of the same length moving in the opposite direction in 30 sec. Find the speed of the other train.
A.36 km/hr
B.48 km/hr
C.72 km/hr
D.96 km/hr
E.102 km/hr
12) The ratio of the length of two trains A and B is 5 : 8 and the ratio of the time taken by both trains to cross a man standing on a platform is 2 : 1. If the speed of train A is 40 km/h, find the speed of train B.
A.145km/hr
B.121km/hr
C.117km/hr
D.128km/hr
E.None of these
13) Train A running at the speed of 60 kmph crosses a bridge of the same length as that of the train in 42 seconds. If train B crosses the same bridge in 40 seconds and the speed of train B is 12 kmph more than that of A, then find the length of train B.
A.400 m
B.300 m
C.350 m
D.450 m
E.500 m
14) Train A crosses another train of the same length moving in the opposite direction in 20 seconds. If train A crosses a standing man in 18 seconds with the speed of 72 kmph, then find the speed of train B?
A.24 m/sec
B.18 m/sec
C.16 m/sec
D.12 m/sec
E.None of these
15) Train A crosses a 150 m long tunnel in 20 seconds and train B crosses a man running in the opposite direction at the speed of 30 kmph in 8 seconds. If the length of train A is 75% more than the length of train B, then find the speed of train A.
A.60
B.90
C.80
D.72
E.Cannot be determined
16) Kanyakumari express overtakes two boys who are walking in the same direction in which it is going, at the rate of 3kmph and 6kmph and passes them completely in 8 sec and 12 sec respectively. Find the length of the Kanyakumari express.
A.10m
B.15m
C.20m
D.25m
E.30m
17) Train crosses a man standing on a platform in 21.6 seconds and also crosses a cycle running in the opposite direction at the speed of 6 kmph in 20.25 seconds. What is the time taken by the same train to cross a 160 m platform?
A.24 seconds
B.30 seconds
C.28 seconds
D.36 seconds
E.18 seconds
18) A train crosses a platform and a man standing in a platform in 36 seconds and 12 seconds respectively. If the length of the platform is 40% more than that of the train, then what is the speed of the train.
A.60 kmph
B.72 kmph
C.80 kmph
D.90 kmph
E.Cannot be determined
19) A 360m long train crosses a 420m long train running in the opposite direction in 12 seconds. If the speed of the slower train is 90 kmph, then what is the speed of the faster train?
A.50m/s
B.20m/s
C.40m/s
D.80m/s
E.None of these
20) Train P can cross a tree and a bridge B of length 300m in 12 seconds and 18 seconds respectively. If train P can cross train Q which is running with a speed of 72kmph in the opposite direction in 10 seconds, then find the time taken by train Q to cross Bridge B.
A.10 seconds
B.15 seconds
C.20 seconds
D.25 seconds
E.None of these
Answers :
11) Answer: C
Speed of train = 36 km/hr = 36 × 5/18 = 10 m/sec
Length = speed × time = 45 × 10 = 450 meter
Let the speed of another train be x m/sec.
Relative speed = 10 + x
Length = 450 + 450 = 900 m
⇒ (10 + x) = 900/30
⇒ x = 20 m/sec
Speed of the other train = 20 × 18/5 = 72 km/hr
12) Answer: D
Let the length of A and B be 5x and 8x respectively and the time taken by the two trains A and B to cross the man be 2t and t respectively.
So the speed of first train = 5x/2t
Now 5x/2t = 40
Or, x/t = 16
Now the speed of train Y is 8x/t= 8*16 = 128km/h
13) Answer: D
Length of train A = x
Length of bridge = x
2x = 60 * 5/18 * 42
x = 350 m
350 + Length of train B = 72 * 5/18 * 40
Length of train B = 450 m
14) Answer: C
Speed of the train A=72*5/18=20 m/sec
Length of the train A=20*18=360 m
Length of the train B=360 m
(20+x)=(360+360)/20
(20+x)=36
x=16 m/sec
15) Answer: E
Length of train B = 4x
Length of train A = 4x * 175/100 = 7x
Speed of train A = y
Speed of train B = z
7x + 150 = y * 5/18 * 20
4x = (z + 30) * 5/18 * 8
We cannot find the answer.
16) Answer: C
3 kmph = 3 * 5/18 = 5/6 m/s
6 kmph = 6 * 5/18 = 5/3 m/s
Length of Kanyakumari express = x m and Speed of Kanyakumari express = y m/s
(x/(y – 5/6)) = 8
=> x = 8y – 20/3 — (I)
(x/(y – 5/3)) = 12
=> x = 12y – 20 — (II)
From (I) and (II), we get y = 10/3 and x = 20 m
17) Answer: C
Length of train = x
Speed of train = y
x = y * 5/18 * 21.6
x = 6y
x = (y + 6) * 5/18 * 20.25
x = 5.625y + 33.75
6y – 5.625y = 33.75
y = 90
x = 90 * 6 = 540
Required time = (540 + 160)/(90 * 5/18) = 700/25
= 28 seconds
18) Answer: E
Length of the train = 5x
Length of the platform = 5x * 140/100 = 7x
Speed of the train = y
7x + 5x = y * 5/18 * 36
12x = 10y
5x = y * 5/18 * 12
15x = 10y
We cannot find the answer.
19) Answer: C
Speed of first train =90*5/18 = 25m/s
Let the speed of second train be a m/s
(360+420)/(25+a) = 12
780/(25+a) = 12
a=40 m/s
20) Answer: C
Speed of train P = x m/s
Length of train P = l m
l = 12x –– (I)
l + 300 = 18x — (II)
From (I) and (II), we get x = 50
l = 600 meters
Speed of Q = 72 * 5/18 = 20 m/s
Length of Q = m meters
m + 600 = (50 + 20) * 10
=> m = 100 meters
Required time = (m + 300)/20
= 400/20 seconds
= 20 seconds
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