Quant Quiz for SSC and Railway

1. A car covers 1/5 of the distance from A to B at the speed of 8 km/hr, 1/10 of the distance at 25 km per hour and the remaining at the speed of 20 km per hour. Find the average speed of the whole journey.
(1) 12.625 km/hr
(2) 13,625 km/hr
(3) 14.625 km/hr
(4) 15.625 km/hr

2. Walking at 3 km per hour, Pintu reaches his school 5 minutes late. If he walks at 4 km per hour he will be 5 minutes early. The distance of Pintu’s school from his house is 
(1) 1 1/2  km
(2) 2 km
(3) 2 1/2 km
(4) 5 km

3. A motor-boat can travel at 10 km/hour in still water. It travelled 91 km downstream in a river and then returned to the same place, taking altogether 20 hours. Find the rate of flow of river.
(1) 3 km/hr
(2) 4 km/hr
(3) 2 km/hr

(4) 5 km/hr

4. A man driving at 3/4 th of his original speed reaches his destination 20 minutes later than the usual time. Then the usual time is 
(1) 45 minutes
(2) 60 minutes
(3) 75 minutes
(4) 120 minutes

5. A motor boat, travelling at the same speed, can cover 25 km upstream and 39 km downstream in 8 hours. At the same speed, it can travel 35 km upstream and 52 km downstream in 11 hours. The speed of the stream is 
(1) 2 km/hr
(2) 3 km/hr
(3) 4 km/hr
(4) 5 km/hr

6. A certain distance is covered by a cyclist at a certain speed. If a jogger covers half the distance in double the time, the ratio of the speed of the jogger to that of the cyclist is 
(1) 1 : 4
(2) 4 : 1
(3) 1 : 2
(4) 2 : 1

7. The distance between places A and B is 999 km. An express train leaves place A at 6 km and runs at a speed of 55.5 km/hr. The train stops on the way for 1 hour 20 minutes. It reaches B at
(1) 1.20 am
(2) 12 pm
(3) 6 pm
(4) 11 pm

8. If a boy walks from his house to school at the rat of 4 km per hour, he reaches the school 10 minutes earlier than the scheduled time. However, if he walks at the rate of 3 km per hour, he reaches 10 minutes late. Find the distance of his school from his house.
(1) 5 km
(2) 4 km
(3) 6 km
(4) 4.5 km

9. Two trains are running 40 km/hr and 20 km/hr respectively in the same direction. The fast train completely passes a man sitting in the slow train in 5 seconds. The length of the fast train is 
(1) 23 2/9 m
(2) 27 m
(3) 27 7/9m
(4) 23 m

10.Two trains one 160m and another140m longare running in opposite direction on parallel rails,the first at 77km an hourand the other at 67km an hour.how long will they take to cross each other
(a)7 sec.
(b)15/2 sec
(c)6 sec.
(d)10 sec


Answers will be provided soon