- Aptitude - Home
- Aptitude - Overview
- Quantitative Aptitude
Trains - Online Quiz
Following quiz provides Multiple Choice Questions (MCQs) related to Trains. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.
Q 1 - A train with a speed of 60 kmph crosses a pole in 30 seconds. The length of the train is
Answer : A
Explanation
speed = (60*5/18)m/sec = 50/3 m/sec. Length of the train = (50/3* 30)m = 500 m
Q 2 - A 130 m long train crosses a bridge 30 seconds at 45 kmph. The length of the bridge is ?
Answer : C
Explanation
Let the length of the bridge be x m. Speed of the train = (130+x)/30 m/sec. But, speed =(45*5/18)m/sec. =25/2 m/sec. ⇒ (130+x)/30 = 25/2 ⇒ 130 + x = 375 ∴ x = 245 m
Q 3 - A train 100 m long moving at a speed of 50km/hr crosses a train 120m long coming from opposite side on parallel tracks in 6 sec. The speed of the second train is
Answer : B
Explanation
let the speed of the second train be x kmph.
Their relative speed = (50+x) kmph ={ (50+x)* 5/18) m/sec.
Sum of their lengths = (100+120)m =220 m
220/ [(50+x)*5/18] = 6 ⇒30 (50+x)= 3960
⇒ 30x =(3960-1500) = 2460
X = 82
Speed of the second train = 82 kmph.
Q 4 - A train overtakes two persons two persons walking in the same direction in which the train is going. These persons are walking at the rate of 2km/hr and 4km/hr and the train passes them completely in 9 sec. and 10 sec. respectively. The length of the train is
Answer : C
Explanation
let the length of the train be X km and its speed be y km/hr. Speed of the train relative to first man = (y-2) km/hr Speed of the train relative to second man =(y-4)km/hr ∴ x/(y-2) = 9/(60*60) and x/(y-4) =10/(60*60) ⇒ y-2 =400x and y-4 =360x ⇒ 400x+2=360x+4 ⇒40x=2 ⇒x=1/20km =(1/20*1000)m= 50m ∴ length of the train =50m
Q 5 - A train takes 5 sec. to pass an electric pole. If the length of the train is 120 m, the time taken by it to cross a railway platform 180 m long ,is
Answer : A
Explanation
Speed of the train = (120/5)m/sec. =24m/sec. Time taken to cross the platform =(120+180)/24 sec. =300/24 sec= 25/2 sec.
Q 6 - Two train travel in opposite direction at 36 kmph and 45kmph. A man sitting in a slower train passes the faster train in 8 sec. The length of the faster train is
Answer : D
Explanation
Relative speed =(36+45)km/hr =(81*5/18)m/sec. =45/2m/sec. Length of the train = distance covered in 8 sec. at 45/2m sec. = (45/2*8)= 180 m
Q 7 - A train X start from Meerut at 4 pm and reaches Ghaziabad at 5p.m while another train Y start from Ghaziabad at 4p.m and reaches Meerut at 5.30 p.m . The two train will cross each other at
Answer : A
Explanation
Let the distance between meerut and Ghaziabad be x km. Time taken by y to cover x km =3/2 hours. Time taken by X to cover x km = 1 hours Speed of x = xkm/hr speed of y = 2x/3 km/hr Xy+2xy/3 =x ⇒ y (1+2/3) =1 ⇒ y = 3/5 hours = (3/5*60) min. =36 min. Hence, the two train meet at 4.36 p.m