Directions (1-3): A bridge ‘AB’ has a single railway track spanning its entire width. A dog is standing on the bridge 20 m away from the center of the bridge towards A. The dog sees a train coming at a constant speed of 72 km/hr. The distance of the train (assumed as a point object) from the nearer end (point A) of the bridge is twice the length of the bridge. If the dog runs towards the train at a constant speed, it will get off the bridge safely when the train is still 50 m away from the bridge. If it runs away from the train at the same constant speed, the train will hit it when it is still 12.5 m from the end of the bridge. A cow is also standing on the same bridge at a distance ‘d’ from point A. Length of bridge AB is an integral value.
Q1. What would be value of ‘d’ (in m) in which train hit the cow at A, if it starts running (with the same speed of dog) towards the train?
(a) 20
(b) 30
(c) 40
(d) 50
(e) 60
Q2. Length of ‘AB’?
(a) 100 m
(b) 120 m
(c) 150 m
(d) 200 m
(e) None of these
Q3. If 160 meters long train running with speed of 108 km/hr crosses a tunnel in
then find length of tunnel?
(a) 200 m
(b) 220 m
(c) 240 m
(d) 280 m
(e) None of these
Q4. A box contains 8 red, 4 green & 5 pink gems. A table top is to be decorated with 10 gems. What is the probability that the decoration contains at least 5 red & 3 pink gems and also all three colored gems are there?
(a) 560/2431
(b) 280/2431
(c) 140/2431
(d) 700/2431
(e) 420/2431
Q5. A man can cover a distance of 20 km in ‘t’ hours. One day after covering half distance, he stuck in a traffic jam in which 10 minutes got wasted. Now to reach the place 20 minutes earlier than his usual time, by what percent should he increase his speed?
(a) 33.33%
(b) 25%
(c) 20%
(d) Cannot be determined
(e) 37.5%
Solutions
S1. Ans(c)
Sol.
S3. Ans(c)
Sol.
. . , . .
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