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APTITUDE QUESTIONS ARITHMETIC
Posted Date: 04 Jul 2008 Resource Type: Articles/Knowledge Sharing Category: Placement Papers
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Posted By: sunil Member Level: Diamond
Rating:  Points: 2
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PROBLEMS ON TRAINS
1.A train 100 m long is running at a speed of 30 kmph.Find the time taken by it
to pass a man standing near the railway line
a)12 sec b)13 sec c)14 sec d)15 sec
2.Two trains 100 m and 120m long are running in the same direction with speeds of
72 kmph and 54 kmph.In how much time will the first train cross the second?
a)40 sec b)44 sec c)72 sec d)30 sec
3.How long does a train 110 m long running at a speed of 72 kmph take to cross a
bridge 132 m in length?
a)9.8 sec b)12.1 sec c)12.42 sec d)14.3 sec
4.A train travelling at a speed of 75 mph enters a tunnel 3 1/2 miles long.The
train is 1/4 mile long.How long does it take for the train to pass through the
tunnel from the moment the front enters to the moment the rear emerges?
a)2.5 min b)3 min c)3.2 min d)3.5 min
5.A train speeds past a pole in 15 seconds and a platform 100 m log in 25 seconds.
Its length is
a)50 m b)150 m c)200m d)data inadequate
6.A train passes a station platform in 36 seconds and a man standing on the plat
form in 20 seconds.If the speed of the train is 54 kmph,what is the length of the
platform?
a)120m b)240m c)300 m d)none of these
7.Two trains are running in opposite directions with the same speed.If the length of
each train is 120 m and they cross each other in 12 seconds,then the speed of each
train is
a)10 b)18 c)36 d)72
8.A 270 m long train running at the speed of 120 kmph crosses another train running
in opposite direction at the speed of 80 kmph in 9 seconds.What is the length of
the other train?
a)230 m b)240 m c)260 m d)320 m
9.A 300 m long train crosses a platform in 39 seconds while it crosses a signal pole
in 18 seconds.What is the length of the platform?
a)320 m b)350 m c)650 m d)none of these
10.A train crosses a platform 100 m long in 60 seconds at a speed of 45 kmph.The time
taken by the train to cross an electric pole is
a)8 sec b)52 sec c)1 minute d)data inadequate
11.Two trains of equal length are running on parallel lines in the same direction at
46 kmph and 36 kmph respectively.The faster train passes the slower train in 36 sec.
The length of each train is
a)50m b)72 c)80 d)82
12.A train of length 150 m takes 40.5 seconds to cross a tunnel of length 300 metres.What
is the speed of the train in kmph?
a)13.33 b)26.67 c)40 d)66.67
13.Two goods train each 500 m long are running in opposite directions so parallel tracks.
Their speeds are 45 kmph and 30 kmph respectively.Find the time taken by the slower train
to pass the driver of the first one
a)12 sec b)24 sec c)48 sec d)60 sec
14.Two trains one from howrah to patna and the other from patna to howrah,start simultaneously.
After they meet,the trains reach their destinations after 9 hours and 16 hours respectively.
The ratio of their speeds is
a)2:3 b)4:3 c)6:7 d)9:16
15.The length of a train and that of a platform are equal.If with a speed of 90 kmph the train
crosses the platform in one minute,then the length of the train in metres is
a)500 b)600 c)750 d)900
16.A train 110 m long passes a man,running at 6 kmph in the direction opposite to that of
the train,in 6 seconds.The speed of the train is
a)54 kmph b)60 kmph c)66 kmph d)72 kmph
17.A train X starts from Meerut at 4 p.m and reaches Ghaziabad at 5 p.m while another train
Y starts from Ghaziabad at 4 p.m and reaches Meerut at 5:30 p.m.The two trains will
cross each other at:
a)4:36 p.m b)4:42 p.m c)4:48 p.m d)4:50 p.m
18.A goods train runs at a speed of 72 kmph and crosses a 250 m long platform in 26 seconds.
What is the length of the goods train?
a)230 m b)240 m c)260 m d)270 m
19.A train 120 m long passes a man,runnin at 5 kmph in the same direction in which the train
is going,in 10 seconds.The speed of the train is
a)45 kmph b)50 kmph c)54 kmph d)55 kmph
20.Two stations A and B are 110 km apart on a straight line.One train starts from A at 7 a.m
and travels towards B at 20 kmph.Another train starts from B at 8 a.m and travels towards
A at a speed of 25 kmph.At what time will they meet?
a)9 a.m b)10 a.m c)10:30 a.m d)11 a.m
21.A train 800 m long is running at a speed of 78 kmph.If it crosses a tunnel in 1 minute,
then the length of the tunnel(in meters) is
a)130 b)360 c)500 d)540
22.Two trains are moving in opposite direction @ 60 kmph and 90 kmph.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)36 b)45 c)48 d)49
23.Two trains running in opposite directions cross a man standing on the platform in 27 seconds
and 17 seconds respectively and they cross each other in 23 seconds.The ratio of their
speeds is
a)1:3 b)3:2 c)3:4 d)none of these
24.A train travellin 48 kmph completely crosses another train having half its length and
travelling in opposite direction at 4 kmph,in 12 seconds.It also passes a railway platform
in 45 seconds.The length of the platform is
a)400 m b)450 m c)560 m d)600 m
25.The length of the bridge , which a train 130 m long and travelling at 45 kmph can cross
in 30 seconds is
a)200 m b)225 m c)245 m d)250 m
26.A train 110 m long is runnig with a speed of 60 kmph .In what time will it pass a man who
is running at 6 kmph in the direction opposite to that in which the train is going?
a)5 sec b)6 sec c)7 sec d)10 sec
27.A jogger running at 9 kmph alongside a railway track is 240 m ahead of the engine of a 120
m long train running at 45 kmph in the same direction.In how much time will the train pass
the jogger>
a)3.6 sec b)18 sec c)36 sec d)72 sec
28.Two trains of equal length take 10 seconds and 15 seconds respectively to cross a telegraph
post.If the length of each train be 120 m,in what time(in seconds)will they cross each other
travelling in opposite direction
a)10 b)12 c)15 d)20
29.A train 108 m long moving at a speed of 50 kmph crosses a train 112 m long coming from opp
direction in 6 seconds.The speed of the second train is
a)48 kmph b)54 kmph c)66 kmph d)82 kmph
30.A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds
respectively.What is the speed of the train?
a)69.5 kmph b)70 kmph c)79 kmph d)79.2 kmph
31.A train X speeding with 120 kmph crosses another train Y,running in the same direction,in
2 min.If the lengths of the trains X and Y be 100 m and 200 m respectively.What is the
speed of train Y?
a)111 kmph b)123 kmph c)127 kmph d)129 kmph
32.Two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower
train passes the faster train in 8 seconds.The length of the faster train is
a)80 m b)100 m c)120 m d)180 m
33.A train takes 18 seconds to pass completely through a station 162 m long and 15 seconds through
another station 120 m long.The length of the train is
a)70 m b)80 m c)90 m d)100m
34.Two trains are running at 40 kmph and 20 kmph respectively in the same direction.Fast train
completely passes a man sitting in the slower train in 5 seconds.What is the length of the
fast trian?
a)23 m b)23 2/9 m c)27m d)27 7/9m
35.A train overtakes two persons who are walking in the same direction in which the train is going,
at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively.
The length of the train is
a)45 m b)50m c)54 m d)72 m
36.How many seconds will a 500 m long train take to cros a man walking with a speed of 3 kmph in
the direction of the moving train if the speed of the train is 63 kmph
a)25 b)30 c)40 d)45
37.A train 360 m long is running at a speed of 45 kmph.In what time will it pass a bridge 140 m
long?
a)40 sec b)42 sec c)45 sec d)48 sec
38.A train running at a speed of 60 kmph crosses a pole in 9 seconds.What is the length of the
train?
a)120 m b)180 m c)cannot be determined d)none of these
39.Two trains each 100 m long moving in opposite direction ,cross each other in 8 seconds.If
one is moving twice as fast as other,then the speed of the faster train is
a)30 kmph b)45 kmph c)60 kmph d)75 kmph
40.A train 150 m long passes a km stone in 15 seconds and another train of the same length
travelling in opposite direction in 8 seconds.The speed of the second train is
a)60 kmph b)66 kmph c)72 kmph d)99 kmph
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