(a) 7 hours 30 minutes
(b) 8 hours
(c) 8 hours 15 minutes
(d) 8 hours 25 minutes
Q2. A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done is 23 days?
(a) 11 days
(b) 13 days
(c) 20 days
(d) None of these
Q3. X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?
(a) 6 days
(b) 10 days
(c) 15 days
(d) 20 days
Q4. A, B and C can complete a work separately in 24, 36 and 48 days respectively. They started together but C left after 4 days of start and A left 3 days before the completion of the work. In how many days will the work be completed?
(a) 15 days
(b) 22 days
(c) 25 days
(d) 35 days
Q5. Sixteen men can complete a work in twelve days. Twenty-four children can complete the same work in eighteen days. Twelve men and eight children started working and after eight days three more children joined them. How many days will they now take to complete the remaining work?
(a) 2 days
(b) 4 days
(c) 6 days
(d) 8 days
Q6. If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:
(a) 4 days
(b) 5 days
(c) 6 days
(d) 7 days
Q7. A booster pump can be used for filling as well as for emptying a tank. The capacity of the tank is 2400 m^3. The emptying capacity of the tank is 10 m^3 per minute higher than its filling capacity and the pump needs 8 minutes lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump?
(a) 50 m^3/min
(b) 60 m^3/min
(c) 72 m^3/min
(d) None of these
Q8. A leak in the bottom of a tank can empty the full tank in 8 hours. An inlet pipe fills water at the rate of 6 litres a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 12 hours. How many litres does the cistern hold?
(a) 7580
(b) 7960
(c) 8290
(d) 8640
Q9. A car travels from P to Q at a constant speed. If its sped were increased by 10 km/hr, it would have taken one hour lesser to cover the distance. It would have taken further 45 minutes lesser if the speed was further increased by 10 km/hr. What is the distance between the two cities?
(a) 420 km
(b) 540 km
(c) 600 km
(d) 650 km
Q10. Three persons are walking from a place A to another place B. Their speeds are in the ratio of 4 : 3 : 5. The time ratio to reach B by these persons will be:
(a) 4 : 3 : 5
(b) 5 : 3 : 4
(c) 15 : 9 : 20
(d) 15 : 20 : 12
Q11. A walks around a circular filed at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start in the same direction from the same point at 7:30 a.m. They shall first cross each other at:
(a) 7.42 a.m.
(b) 7.48 a.m.
(c) 8.10 a.m.
(d) 8.30 a.m.
Q12. Two guns were fired from the same place at an interval of 10 minutes and 30 seconds, but a person in the train approaching the place hears the second shot 10 minutes after the first. The speed of the train (in km/hr), supposing that speed travels at 330 metres per second is:
(a) 19.8
(b) 58.6
(c) 59.4
(d) 111.80
Q13. A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 9.30 a.m.?
(a) 5
(b) 6
(c) 7
(d) 8
Q14. A jogger running at 9 kmph alongside a railway track is 240 metres ahead of the engine of a 120 metre 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) 18 sec
(c) 36 sec
(d) 72 sec
Q15. A train 110 m long passes a man, running at 6 kmph in the direction opposite to that of the train, in 6 seconds. The speed of the train is:
(a) 54 km/hr
(b) 60 km/hr
(c) 66 km/hr
(d) 72 km/hr
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