**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

**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

**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

**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

**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

**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

**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

**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

**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

**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

**Answer: Option Answer - 37.5**

See also :

Reasoning Ability

Follow @mishrajigpo