Numerical Ability
Q.1) 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. 54 km/hr
C. 55 km/hr
D. 50 km/hr
A. 45 km/hr
B. 54 km/hr
C. 55 km/hr
D. 50 km/hr
Answer: Option Answer - 50 km/hr
Q.2) Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
A. 3 : 2
B. 3:4
C. 1 : 3
D. None of these
A. 3 : 2
B. 3:4
C. 1 : 3
D. None of these
Answer: Option Answer - 3 : 2 (Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27x metres, and length of the second train = 17y metres. so (27x + 17y)/(x+y) = 23 or 27x + 17y = 23x + 23y or 4x = 6y or x/y=3/2 )
Q.3) A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :
A. 1/4
B. 1/10
C. 8/15
D. 1/9
A. 1/4
B. 1/10
C. 8/15
D. 1/9
Answer: Option Answer - 8/15
Q.4) A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
A. 18 days
B. 16 days
C. 12 days
D. 15 days
A. 18 days
B. 16 days
C. 12 days
D. 15 days
Answer: Option Answer - 15 days (A's 2 day's work =(1/20*2)= 1/10, (A + B + C)'s 1 day's work =(1/20+1/30+1/60)=6/60 or 1/10 now Work done in 3 days =(1/10+1/10)=1/5, now 1/5 work is done in 3 days. so Whole work will be done in (3 x 5) = 15 days.
Q.5) Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:
A. 50 m
B. 80 m
C. 82 m
D. 72 m
A. 50 m
B. 80 m
C. 82 m
D. 72 m
Answer: Option Answer - 50 m (Let the length of each train be x metres. Then, distance covered = 2x metres. Relative speed = (46 - 36) km/hr, (10*5/18) mt/sec or (25/9) mt/sec so 2x/36=25/9 or x=50 )
Q.6) A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?
A. 3.6 sec
B. 36 sec
C. 18 sec
D. 72 sec
A. 3.6 sec
B. 36 sec
C. 18 sec
D. 72 sec
Answer: Option Answer - 36 sec
Q.7) A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:
A. 15 days
B. 25 days
C. 20 days
D. 30 days
A. 15 days
B. 25 days
C. 20 days
D. 30 days
Answer: Option Answer - 25 days
Q.8) A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?
A. 230 m
B. 240 m
C. 260 m
D. 270 m
A. 230 m
B. 240 m
C. 260 m
D. 270 m
Answer: Option Answer - 270 m
Q.9) A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
A. 6 sec
B. 5 sec
C. 10 sec
D. 9 sec
A. 6 sec
B. 5 sec
C. 10 sec
D. 9 sec
Answer: Option Answer - 6 sec
Q.10) A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?
A. 23 days
B. 40 days
C. 37 days
D. 37.5
A. 23 days
B. 40 days
C. 37 days
D. 37.5
Answer: Option Answer - 37.5
See also :
Reasoning Ability
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