Quantitative Aptitude

General Questions

Quantitative Aptitude Exercise Mode

General Questions

Practice and master this topic with our carefully crafted questions.

10 Questions
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Question 1
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?

A
120 metres
B
180 metres
C
324 metres
D
150 metres
Correct Answer: Option D

Speed= 60 x 5 m/sec = 50 m/sec.
18 3

Length of the train = (Speed x Time).

Length of the train = 50 x 9 m = 150 m.
3

Question 2
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:

A
45 km/hr
B
50 km/hr
C
54 km/hr
D
55 km/hr
Correct Answer: Option B

Speed of the train relative to man = 125 m/sec
10

   = 25 m/sec.
2

   = 25 x 18 km/hr
2 5

   = 45 km/hr.

Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr.

x - 5 = 45         x = 50 km/hr.

Question 3
In what time will a train 100 metres long cross an electric pole, if it's speed be 144 km / hr ?

A
2.5 seconds
B
4.25 seconds
C
5 seconds
D
12.5 seconds
Correct Answer: Option A

Speed = 144 x 5 m/sec = 40 m/sec.
18

Time taken = 100 sec = 2.5 sec.
40

Question 4
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
Correct Answer: Option B

Speed = 72 x 5 m/sec = 20 m/sec.
18

Total distance covered = (110 + 132)m = 242 m.

Required time = 242 sec = 12.1 sec.
20

Question 5
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
Correct Answer: Option A

Formula for converting from km/hr to m/s:

  X km/hr = X x 5 m/s.
18

Therefore, Speed = 45 x 5 m/sec = 25 m/sec.
18 2

Total distance to be covered = (360 + 140) m

= 500 m.

Formula for finding Time = Distance
Speed

Required time = 500 x 2 sec = 40 sec.
25

Question 6
A train travelling at a speed of 75 mph enters a tunnel 31/2 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
Correct Answer: Option B

Total distance covered
= ( 7 + 1 ( miles
2 4
= 15 miles.
4

Therefore Time taken
= ( 15 ( hrs
4 x 75
= 1 hrs
20
= ( 1 x 60 ( min.
20
= 3 min.

Question 7
A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is :

A
50 m
B
150 m
C
200 m
D
Data inadequate
Correct Answer: Option B

Let the length of the train be x metres and its speed by y m/sec.

Then, x = 15     =>     y = x .
y 15

Therefore x + 100 = x
25 15

=> 15(x + 100) = 25x

=> 15x + 1500 = 25x

=> 1500 = 10x

=> x = 150 m.

Question 8
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 meters) is:

A
130
B
360
C
500
D
540
Correct Answer: Option C

Speed = ( 78 x 5 ( m/sec = ( 65 ( m/sec.
18 3

Time = 1 minute = 60 seconds.

Let the length of the tunnel be x metres.

Then, ( 800 + x ( = 65
60 3

=> 3(800 + x) = 3900

=> x = 500.

Question 9
A 300 metre 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
Data inadequate
E
None of these
Correct Answer: Option B

Speed = ( 300 ( m/sec = 50 m/sec.
18 3

Let the length of the platform be x metres.

Then, ( x + 300 ( = 50
39 3

=> 3(x + 300) = 1950

=> x = 350 m.

Question 10
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 km/hr
B
70 km/hr
C
79 km/hr
D
79.2 km/hr
Correct Answer: Option D

Let the length of the train be x metres and its speed by y m/sec.

Then, x = 8     =>     x = 8y
y

Now, x + 264 = y
20

=> 8y + 264 = 20y

=> y = 22.

Therefore Speed = 22 m/sec = ( 22 x 18 ( km/hr = 79.2 km/hr.
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