Explore topic-wise MCQs in Arithmetic Ability.

This section includes 255 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic Ability knowledge and support exam preparation. Choose a topic below to get started.

51.

Two trains of equal length are running on parallel lines in the same direction at 36 km/hr and 26 km/hr. The faster train passes the slower train in 36 sec. The length of each train is ?

A. 28 mts
B. 54 mts
C. 24 mts
D. 50 mts
Answer» E.
52.

Two trains, one 150 m long and the other 130m long, coming from opposite directions crosssed each other in 7.2 seconds. The sum of speed of the two trains every hour would then be_x005F_x000D_

A. 280 km
B. 105 km
C. 70 km
D. 140 km
Answer» E.
53.

Two trains of equal length , running in opposite directions , pass a pole in 18 and 12 seconds. The trains will cross each other in

A. 14.4 sec
B. 15.5 sec
C. 18.8 sec
D. 20.2 sec
Answer» B. 15.5 sec
54.

Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions  ?

A. 10 sec
B. 11 sec
C. 12 sec
D. 8 sec
Answer» B. 11 sec
55.

Two trains, one 153 m long and the other 127 m long; coming from opposite directions crossed each other in 7.2 seconds. The combined speed of the two trains every hour would then be:_x005F_x000D_

A. 140 km/h
B. 105 km/h
C. 70 km/h
D. 280 km/h
Answer» B. 105 km/h
56.

Two trains are running in opposite directions in the same speed. The length of each train is 120 meter. If they cross each other in 12 seconds, the speed of each train (in km/hr) is

A. 42
B. 36
C. 28
D. 20
Answer» C. 28
57.

Two trains having equal lengths, take 10 seconds and 15 seconds respectively to cross a post. If the length of each train is 120 meters, in what time (in seconds) will they cross each other when traveling in opposite direction?

A. 10
B. 25
C. 12
D. 20
Answer» D. 20
58.

Two trains namely X & Y leave station 'A' at 6.30am and 7.40am and travel at 30km/hr and 40 km/hr respectively. How many kms from 'A' will the trains meet ?

A. 140 kms
B. 120 kms
C. 96 kms
D. 142 kms
Answer» B. 120 kms
59.

Two trains move from stations M and N. Both trains move towards each other at speeds of 54 km/hr and 63 km/hr respectively. When they meeteach other, the second train has travel 100 km more than the first. What is the distance (in km) between M and N

A. 600
B. 700
C. 1300
D. 1500
Answer» D. 1500
60.

Two trains are running in opposite directions with the same speed. If the length of each train is 486 metres and they cross each other in 27 seconds, then what is the speed (in km/hr) of each train?

A. 55
B. 56.4
C. 64.8
D. 73.2
Answer» D. 73.2
61.

Two trains are running in opposite direction with the same speed. If the length of each train is 80 metres and they cross each other in 16 seconds, then what is the speed (in km/hr) of each train?_x005F_x000D_

A. 12
B. 18
C. 24
D. 30
Answer» C. 24
62.

Two trains are running at 60 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 6 seconds. What is the length of the fast train ?_x005F_x000D_ A. 6623 mts_x005F_x000D_ B. 6632 mts_x005F_x000D_ C.6345 mts_x005F_x000D_ D. 6354 mts

A. Option A
B. Option B
C. Option C
D. Option D
Answer» B. Option B
63.

Two trains are moving towards each other with the speed of 25 km/hr and 83 km/hr respectively. What will be the distance (in metres) between the trains  one second before collide?_x005F_x000D_

A. 32
B. 35
C. 30
D. 40
Answer» D. 40
64.

Two trains are moving in the same direction at the speed of 42 km/hr and 84 km/hr, their lengths are 320 metres and 380 metres respectively. What is the time taken (in seconds) by faster train to cross the slower train?

A. 60
B. 80
C. 90
D. 120
Answer» B. 80
65.

Two trains are moving in the same direction at the speed of 35 km/hr and 71km/hr. The time taken by faster train to cross a man sitting in the slower train is 48 seconds. What will be the length (in metres) of the faster train?_x005F_x000D_  _x005F_x000D_

A. 540
B. 420
C. 480
D. 660
Answer» D. 660
66.

Two trains are moving in the same direction at the speed of 24 km/hr and 50 km/hr. The time taken by faster train to cross a man sitting in the slower train is 72 seconds. What will be the length (in metres) of the faster train?_x005F_x000D_

A. 560_x005F_x000D_
B. 490_x005F_x000D_
C. 520_x005F_x000D_
D. 640
Answer» D. 640
67.

Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a girl sitting at window seat in the slower train in 32 seconds. Find the length of the faster train ?

A. 170 m
B. 100 m
C. 270 m
D. 320 m
Answer» E.
68.

Two trains are moving in the same direction at the speed of 23 km/hr and 77 km/hr. The time taken by faster train to cross a man sitting in the slower train is 40 seconds. What will be the length (in metres) of the faster train?_x005F_x000D_  _x005F_x000D_

A. 720_x005F_x000D_
B. 640_x005F_x000D_
C. 600_x005F_x000D_
D. 540
Answer» D. 540
69.

Two trains are moving in the opposite directions at speed of 43 km/h and 51 km/h respectively. The time taken by the slower train to cross a man sitting in the faster train is 9 seconds. What is the length (in metres) of the slower train?

A. 235
B. 338.4
C. 470
D. 940
Answer» B. 338.4
70.

Two trains are moving in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then what is the speed (in km/hr) of each train?

A. 36
B. 45
C. 80
D. 60
Answer» B. 45
71.

Two trains are moving in opposite directions with the same speed. If the length of each train is 144 metres and they cross each other in 9 seconds, then what is the speed (in km/hr) of each train?_x005F_x000D_

A. 53
B. 57.6
C. 60.4
D. 64.8
Answer» C. 60.4
72.

Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is ?

A. 42 sec
B. 44 sec
C. 46 sec
D. 48 sec
Answer» E.
73.

Two trains are moving in the opposite direction at speed of 30 km/hr and 45 km/hr respectively, whose lengths are 450 m and 550 m respectively. What is the time taken (in seconds) by slower train to cross the faster train?

A. 48
B. 54
C. 62
D. 72
Answer» B. 54
74.

Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is ?

A. 387 kms
B. 242 kms
C. 145 kms
D. 444 kms
Answer» E.
75.

Two cogged wheels of which one has 32 cogs and other 54 cogs, work into each other. If the latter turns 80 times in three quarters of a minute, how often does the other turn in 8 seconds?

A. 48
B. 24
C. 38
D. 36
Answer» C. 38
76.

Two goods trains each 520 m long, are running in opposite directions on parallel tracks. Their speeds are 42 km/hr and 36 km/hr respectively. Find the time taken by the slower train to cross the driver of the faster one ?

A. 60 sec
B. 48 sec
C. 45 sec
D. 34 sec
Answer» C. 45 sec
77.

Two stations L and M are 180 km apart from each other. A train leaves from L to M and simultaneously another train leaves from M to L. Both trains meet after 9 hours. If the speed of the first train is 10 km/hr more than the second train, then what is the speed (in km/hr) of the slower train?_x005F_x000D_

A. 9
B. 5
C. 12
D. 15
Answer» C. 12
78.

Two stations P and Q are 110 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet?

A. 10.3
B. 10
C. 8.45
D. 9.3
Answer» C. 8.45
79.

Train X crosses a stationary train Y in 60 seconds and a pole in 25 seconds with the same speed. The length of the train X is 300 m. What is the length of the stationary train Y ?

A. 360 m
B. 420 m
C. 460 m
D. 320 m
Answer» C. 460 m
80.

Train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 20 seconds. The length of train K is three-fourths the length of train L. What is the ratio of the speed of train K to that of train L   ?

A. 0.04375
B. 0.084027777777778
C. 0.12569444444444
D. 0.043055555555556
Answer» C. 0.12569444444444
81.

Train X travelling at 60 km/h overtakes another train Y, 225 m long, and completely passes it in 72 seconds. If the trains had been going in opposite directions, they would have passed each other in 18 seconds. The length (in m) of X and the speed (in km/h) of Y are, respectively:_x005F_x000D_  _x005F_x000D_

A. 245 and 54
B. 255 and 40
C. 255 and 36
D. 245 and 45
Answer» D. 245 and 45
82.

Train K crosses a stationary Train L in 50 seconds and a pole in 20 seconds with the same speed. The length of the Train K is 240 meters. What is the length of stationary Train L ?

A. 60 mts
B. 120 mts
C. 240 mts
D. 360 mts
Answer» E.
83.

Train A takes 45 minutes more than train B to travel a distance of 450 km. Due to engine trouble speed of train B falls by a quarter, so it takes 30 minutes more than Train A to complete the same journey. What is the speed of Train A (in km/hr)?

A. 90
B. 120
C. 100
D. 110
Answer» D. 110
84.

Train A can cross a man in 8 sec and a 180 m long platform ‘P’ in 17 sec. If train A cross train B which is running in opposite direction at speed of 108 km/hr in 8 sec, then find time taken by train B to cross platform P?

A. 16 sec
B. 11 sec
C. 14 sec
D. 12 sec
Answer» D. 12 sec
85.

Train A takes 1 hour more than train B to travel a distance of 720 km. Due to engine trouble speed of train B falls by a third, so it takes 3 hours more than Train A to complete the same journey? What is the speed of Train A (in km/hr)?

A. 80
B. 90
C. 60
D. 70
Answer» B. 90
86.

To travel 732 km, an Express train takes 6 hours more than Rajdhani. If the speed of the Express train is doubled, it takes 3 hours less than Rajdhani. The speed of Rajdhani is

A. 81.3 km/hr
B. 61 km/hr
C. 40.7 km/hr
D. 101.7 km/hr
Answer» C. 40.7 km/hr
87.

To travel 672 km, an Express train takes 14 hours more than Rajdhani. If however, the speed of the Express train is doubled, it takes 8 hours less than Rajdhani. The speed of Rajdhani is

A. 30.5 km/hr
B. 14.3 km/hr
C. 38.7 km/hr
D. 22.4 km/hr
Answer» E.
88.

To travel 660 km, an Express train takes 10 hours more than Rajdhani. If however, the speed of the Express train is doubled, it takes 7 hours less than Rajdhani. The speed of Rajdhani is

A. 38.8 km/hr
B. 16.2 km/hr
C. 50.1 km/hr
D. 27.5 km/hr
Answer» E.
89.

To travel 432 km, an Express train takes 1 hour more than Duronto. If however, the speed of the Express train is increased by 50%, it takes 2 hours less than Duronto. What is the speed (in km/hr) of Duronto train?

A. 60
B. 54
C. 48
D. 72
Answer» C. 48
90.

To travel 648 km, an Express train takes 12 hours more than Rajdhani. If however, the speed of the Express train is doubled, it takes 6 hours less than Rajdhani. The speed of Rajdhani is _____.

A. 36 km/hr
B. 18 km/hr
C. 45 km/hr
D. 27 km/hr
Answer» E.
91.

The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 kmph. Then find the speed of faster train  ?

A. 68 kmph
B. 52 kmph
C. 76 kmph
D. 50 kmph
Answer» B. 52 kmph
92.

The time taken by a train 160 m long, running at 72 km/hr, in crossing an electric pole is

A. 8 sec
B. 9 sec
C. 6 sec
D. 4 sec
Answer» B. 9 sec
93.

The time for a train of length 110 metres running at the speed of 72 km/hr to cross a bridge of length 132 metres is

A. 9.8 sec
B. 12.1 sec
C. 12.42 sec
D. 14.3 sec
Answer» C. 12.42 sec
94.

The length of two superfast trains are 140 mts and 160 mts respectively. If they run at the speed of 60 km/hr and 80 km/hr respectively in opposite direction, find the time in which they will cross each other ?

A. 7.71 sec
B. 10.48 sec
C. 9.36 sec
D. 8.45 sec
Answer» B. 10.48 sec
95.

The speed of a train is 72 km/hr and its length is 200 meters. What will be the time (in minutes) taken by the train to cross a pole?_x005F_x000D_

A. 44348
B. 44319
C. 5
D. 10
Answer» B. 44319
96.

The ratio of the speed of Two trains is 5:8. Sum of their length is 660. The ratio of time taken to cross an Electric Pole by train A and B is 4:3. What is the difference between the length of two trains?

A. 50m
B. 40m
C. 60m
D. 45m
Answer» D. 45m
97.

The length of a brigade which a train 130 m long and traveling at 45kmph can cross in 30 seconds, is

A. 196 mts
B. 220 mts
C. 230 mts
D. 245 mts
Answer» E.
98.

The distance between two cities X and Y is 270 km. First train starts from X at 7:00 a.m. and travels towards Y at 40 km/hr. Second train starts from Y at 8:30 a.m. and travels towards X at 30 km/hr. At what time (in a.m.) will both the trains meet?_x005F_x000D_

A. 10:00_x005F_x000D_
B. 11:00_x005F_x000D_
C. 11:30_x005F_x000D_
D. 0.52083333333333
Answer» D. 0.52083333333333
99.

The difference between the time taken by two trains to travel a distance of 350 km is 2 hours 20 minutes. If the difference between their speeds is 5 km/hr, what is the speed of faster train ?

A. 36 kmph
B. 30 kmph
C. 34 kmph
D. 40 kmph
Answer» C. 34 kmph
100.

The distance between places U and V is 1008 km. An express train leaves place U at 9:00 a.m. and runs at a speed of 126 km/hr. The train stops on the way for 20 minutes. At what time (in p.m.) the train will reach at the place V?

A. 0.28472222222222
B. 0.15972222222222
C. 0.18055555555556
D. 0.22222222222222
Answer» E.