TNPSC Quantitative Aptitude - Problems on Trains
Exam Duration: 45 Mins Total Questions : 30
A trains moves with a speed of 108 kmph. Its speed in metres per second is :
- (a)
10.8
- (b)
18
- (c)
30
- (d)
38.8
How long does a train 110 metres long running at the speed of 72 km / hr take to cross a bridge 132 metres in length ?
- (a)
9.8 sec
- (b)
12.1 sec
- (c)
12.42 sec
- (d)
14.3 sec
A train 360 m long is running at a speed of 45 km / hr. In what time will it pass a bridge 140 m long ?
- (a)
40 sec
- (b)
42 sec
- (c)
45 sec
- (d)
48 sec
A train covers a distance of 12 km in 10 minutes. If it takes 6 seconds to pass a telegraph pos, them the length of the train is:
- (a)
90 m
- (b)
100 m
- (c)
120 m
- (d)
140 m
A train 800 metres long is running at a speed of 78 km / hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in metres) is :
- (a)
130
- (b)
360
- (c)
500
- (d)
540
The length of a train and that of a platform are equal. If with a speed of 90 km / hr, 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
A train of length 150 metres takes 40.5 seconds to cross a tunnel of length 300 metres. What is the speed of the train in km / hr ?
- (a)
13.33
- (b)
26.67
- (c)
40
- (d)
66.67
A train crosses a platform 100 m long in 60 seconds at a speed of 45 km / hr. The time taken by the train to cross an electric pole is :
- (a)
8 sec
- (b)
52 sec
- (c)
1 minute
- (d)
None of these
Two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 45 kmph respectively. In how much time will they cross each other, if they are running in the same direction?
- (a)
72 sec
- (b)
132 sec
- (c)
192 sec
- (d)
252 sec
Two trains 140 m and 160 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parellel tracks. The time (in seconds) which they take to cross each other, is :
- (a)
9
- (b)
9.6
- (c)
10
- (d)
10.8
Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km / hr and 30 km / hr respectively. Find the time taken by the slower train to pass the driver of the faster one.
- (a)
12 sec
- (b)
24 sec
- (c)
48 sec
- (d)
60 sec
A 270 metres 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
- (e)
None of these
Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be120 metres, in what time (in seconds) will they cross each other travelling in opposite direction ?
- (a)
10
- (b)
12
- (c)
15
- (d)
20
Two trains are moving in opposite directions @ 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)
36
- (b)
45
- (c)
48
- (d)
49
A train 108 m long moving at a speed of 50 km / hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is
- (a)
48 km / hr
- (b)
54 km / hr
- (c)
66 km / hr
- (d)
82 km / hr
A train X speeding with 120 kmph croses another train Y, running in the same direction, in 2 minutes. 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 km / hr
- (b)
123 km / hr
- (c)
127 km / hr
- (d)
129 km / hr
Two trains are running a 40 km / hr and 20 km / hr respectively in the same direction. Fast train completely passes a man sitting in the lower train in 5 seconds. What is the length of the fast train ?
- (a)
23 m
- (b)
\(23\frac{ 2 }{ 9 }\)m
- (c)
27 m
- (d)
\(27\frac{ 7 }{ 9 }\)m
A train overtakes two persons who are walking in the sme direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 second respectively. The sength of train is :
- (a)
45 m
- (b)
50 m
- (c)
54 m
- (d)
72 m
A train ovetakes two persons walking along a railway track. The first one walks at 4.5 km / hr. The other one walks at 5.4 km/hr.The train needs 8.4 and 8.5 seconds respectively to overtake them. what is the speed of the train if both the persons are walking in the same direction as the train ?
- (a)
66 km / hr
- (b)
72 km / hr
- (c)
78 km / hr
- (d)
81 km / hr
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
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
A train running at a certain speed crosses a stationary engine in 20 seconds. To find out the speed of the train, which of the following information is necessary?
- (a)
Only the length of the train
- (b)
Only the length of the engine
- (c)
Either the length of the train or the length of the engine
- (d)
Both the length of the train and the length of the engine
Each of the questions given below consists of a statement and/ or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. Read both the statement
A train crosses a signal post in x seconds. What is the length of the train?
I. The train crosses a platform of 100 metres in y seconds.
II. The train is running at the speed of 80 km/hr.
- (a)
if the data in statement I alone arte sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
- (b)
if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
- (c)
if the data either in statement I or in statements II alone are sufficient to answer the question
- (d)
if the data even in both statement I and II together are not sufficient to answer the question
- (e)
if the data in both statements I and II together are necessary to answer the question
Each of the questions given below consists of a statement and/ or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. Read both the statement
What was the speed of the running train?
I. Length of the train was 120 metres.
II. The train crossed the outer stationary train whose length was 180 m in 4 seconds.
- (a)
if the data in statement I alone arte sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
- (b)
if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
- (c)
if the data either in statement I or in statements II alone are sufficient to answer the question
- (d)
if the data even in both statement I and II together are not sufficient to answer the question
- (e)
if the data in both statements I and II together are necessary to answer the question
Each of the questions given below consists of a statement and/ or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. Read both the statement
What is the speed of a running train which takes 9 seconds to cross a signal post?
I. The length of the train is 90 metres.
II. The train takes 27 seconds to cross a platform of 180 metres.
- (a)
if the data in statement I alone arte sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
- (b)
if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
- (c)
if the data either in statement I or in statements II alone are sufficient to answer the question
- (d)
if the data even in both statement I and II together are not sufficient to answer the question
- (e)
if the data in both statements I and II together are necessary to answer the question
Each of the questions given below consists of a statement and/ or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. Read both the statement
What was the speed of a running train X?
I. The relative speed of train X and another train Y running in opposite direction is 160 kmph.
II. the train Y crosses a signal post in 9 seconds.
- (a)
if the data in statement I alone arte sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
- (b)
if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
- (c)
if the data either in statement I or in statements II alone are sufficient to answer the question
- (d)
if the data even in both statement I and II together are not sufficient to answer the question
- (e)
if the data in both statements I and II together are necessary to answer the question
Each of the questions given below consists of a statement and/ or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. Read both the statement
What was the length of a running train crossing another 180 metres long train running in the opposite direction?
I. The relative speed of the two trains was 150 kmph.
II. The trains took 9 seconds to cross each other.
- (a)
if the data in statement I alone arte sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
- (b)
if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
- (c)
if the data either in statement I or in statements II alone are sufficient to answer the question
- (d)
if the data even in both statement I and II together are not sufficient to answer the question
- (e)
if the data in both statements I and II together are necessary to answer the question
Each of the questions given below consists of a statement and/ or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. Read both the statement
A train crosses a pole in 10 seconds. What is the length of the train?
I. The train crosses another train running inopposite direction with a spped of 80 km/hr in 22 seconds.
II. The speed of the train is 108 km/hr.
- (a)
if the data in statement I alone arte sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
- (b)
if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
- (c)
if the data either in statement I or in statements II alone are sufficient to answer the question
- (d)
if the data even in both statement I and II together are not sufficient to answer the question
- (e)
if the data in both statements I and II together are necessary to answer the question
Each of teh questions given below consists of a question followed by three statemnets. You have to study the question and the statements and decide which of the satement(s) is/are necessary to answer the question.
What is the speed of the train?
I. The train crosses a tree in 13 seconds.
II. The train crosses a platform of length 250 mettres in 27 seconds.
II. The train crosses another train running in the same direction in 32 seconds.
- (a)
I and II only
- (b)
II and III only
- (c)
I and III only
- (d)
Any two of the three
- (e)
None of these
Each of teh questions given below consists of a question followed by three statemnets. You have to study the question and the statements and decide which of the satement(s) is/are necessary to answer the question.
What is the speed of the train?
I. The train crosses a signal pole in 18 seconds.
II. The train crosses a platform of equal length in 36 seconds.
III. Length of the train is 330 metres.
- (a)
I and II only
- (b)
II and III only
- (c)
I and III only
- (d)
III and either I or II only
- (e)
Any two of three