Quant Quiz

Q1)-A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of train ?

120 metres

180 metres

324 metres

None of these

Ans.- D
Speed = ( 60 x 5/18 ) m/sec = (50/3) m/sec
Length of the train = ( speed x time ) = ( 50/3 x 9) = 150 m

Q2)-A train 132 m long passes a telegraph pole in 6 seconds. Find the speed of the train.

70 km/h

72 km/h

79.2 km/h

80 km/h

Ans.- C
Speed = (132/6) m/sec = ( 22 x 18/5) km/h = 79.2 km/h

Q3)-A train covers a distance of 12 km in 10 minutes. If it takes 6 seconds to pass a telegraph post, then the length of the train is :

90 m

100 m

120 m

140 m

Ans.- C
Speed = (12/10 x 60) km/h= ( 72 x 5/18) m/sec = 20 m/sec
Length of the train = ( Speed x Time ) = ( 20 x 6 ) = 120 m

Q4)-A train 240 m long passed a pole in 24 seconds. How long will it take to pass a platform 650 m long ?

65 sec

89 sec

100 sec

150 sec

Ans.- B
Speed = (240/24) m/sec = 10 m/sec
Required time = (240 + 650 ) / 10 = 89 sec

Q5)-The length of bridge , which a train 130 metres long and travelling at 45 km/h can cross in 30 seconds, is

200 m

225 m

245 m

250 m

Ans.- C
Speed = ( 45 x 5/18 ) m/sec = 25/2 m/sec
Time = 30 sec
LEt the length of bridge be x metres
Then, (130+x)/30 = 25/2
x = 245 m

Q6)-A train 800 metres long is running at a speed of 78 km/h. If it crosses a tunnel in 1 minute, then the length of the tunnel ( in metres ) is

130

360

500

540

Ans.- C
Speed = ( 78 x 5/18) m/sec = 65/3 m/sec
Time = 1 minute =60 sec
Let the length of tunnel be x metres
Then, (800 + x )/60 = 65/3
x = 500

Q7)-A goods train runs at the speed of 72 km/h and crosses a 250 m long platform in 26 seconds. What is the length of the goods train ?

230 m

240 m

260 m

270 m

Ans.- D
Speed = (72 x 5/18) m/sec = 20 m/sec
Time = 26 sec
Let the length of the train be x metres
Then, (x + 250)/26 = 20
x = 270

Q8)-The length of a train and that of a platform are equal. If with a speed of 90 km/h , the train crosses the platform in one minute, then the length of the train ( in metres ) is

500

600

750

900

Ans.- C
Speed = ( 90 x 5/18 ) = 25 m/sec
Time = 1 min = 60 sec
Let the length of the train and that of the platform be x metres
Then , 2x/60 = 25
x = 750

Q9)-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/h ?

13.33

26.67

40

66.67

Ans.- C
Speed = ( 150 + 300 )/40.5 = ( 450/40.5 x 18/5) = 40 km/h

Q10)-A train crosses a platform 100 m long in 60 seconds at a speed of 45 km/h. The time taken by the train to cross an electric pole is

8 sec

52 sec

1 minute

Data inadequate

Ans.- B
Speed = ( 45 x 5/18) m/sec = 25/2 m/sec
Let the length of the train be x metres.
Then , x + 100 / (25/2) = 60
x = 650 m
Time taken by the train to cross an electric pole= ( 650 x 2/25) sec = 52 sec