Maths MCQs for AD (ASF) – Series 8 (Q111-120)
Q111. A train 150 m long crosses a pole in 15 seconds. Find its speed in km/hr.
- A) 40 km/hr
- B) 30 km/hr
- C) 36 km/hr
- D) None of these
Answer: C
Speed = 150/15 = 10 m/s = 10×18/5 = 36 km/hr.
Q112. A train 240 m long is running at 72 km/hr. In what time will it cross a platform 160 m long?
- A) 20 seconds
- B) 22 seconds
- C) 18 seconds
- D) None of these
Answer: A
Speed = 72×5/18 = 20 m/s; total distance = 400 m; time = 400/20 = 20 seconds.
Q113. Two trains, 130 m and 110 m long, run in opposite directions on parallel tracks at 42 km/hr and 30 km/hr. Find the time taken by them to cross each other.
- A) 14 seconds
- B) 10 seconds
- C) 12 seconds
- D) None of these
Answer: C
Relative speed = 72 km/hr = 20 m/s; total length = 240 m; time = 240/20 = 12 seconds.
Q114. A boat goes 24 km upstream in 6 hours and returns downstream in 4 hours. Find the speed of the boat in still water.
- A) 4 km/hr
- B) 6 km/hr
- C) 5 km/hr
- D) None of these
Answer: C
Upstream speed = 4 km/hr, downstream = 6 km/hr; boat speed = (4+6)/2 = 5 km/hr.
Q115. A man rows a boat 20 km upstream in 4 hours and 20 km downstream in 2 hours. Find the speed of the stream.
- A) 3 km/hr
- B) 2.5 km/hr
- C) 2 km/hr
- D) None of these
Answer: B
Upstream speed = 5 km/hr, downstream = 10 km/hr; stream speed = (10−5)/2 = 2.5 km/hr.
Q116. A car covers a distance of 300 km at a certain speed. Had the speed been 10 km/hr more, it would have taken 1 hour less. Find the original speed.
- A) 50 km/hr
- B) 45 km/hr
- C) 55 km/hr
- D) None of these
Answer: A
300/s − 300/(s+10) = 1 → s²+10s−3000 = 0 → s = 50 km/hr.
Q117. A person travels 60 km at a speed of 20 km/hr and then travels the same distance at 30 km/hr. Find his average speed for the whole journey.
- A) 25 km/hr
- B) 22 km/hr
- C) 24 km/hr
- D) None of these
Answer: C
Average speed = 2xy/(x+y) = 2×20×30/50 = 24 km/hr.
Q118. Two cyclists start from the same point and ride in opposite directions, one at 12 km/hr and the other at 15 km/hr. In how many hours will they be 108 km apart?
- A) 3 hours
- B) 4 hours
- C) 5 hours
- D) None of these
Answer: B
Relative speed = 27 km/hr; time = 108/27 = 4 hours.
Q119. A man walking at 5 km/hr crosses a bridge in 15 minutes. Find the length of the bridge in metres.
- A) 1300 m
- B) 1250 m
- C) 1200 m
- D) None of these
Answer: B
Speed = 5000/60 = 83.33 m/min; length = 83.33×15 = 1250 m.
Q120. A thief is spotted by a policeman from a distance of 200 m. When the chase starts, the thief also starts running. If the thief’s speed is 10 km/hr and the policeman’s is 12 km/hr, find the distance the thief runs before being caught.
- A) 900 m
- B) 1000 m
- C) 1100 m
- D) None of these
Answer: B
Relative speed = 2 km/hr; time to catch = 0.2/2 = 0.1 hr; distance run by thief = 10×0.1 = 1 km = 1000 m.
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