Q1. Krishna covers a certain distance by train at 25 km/hr. and the equal distance on foot at 4 km/hr. If the time taken by him for the whole journey be 5 hrs and 48 minutes, how much total distance did he cover ?
(a) 30 km
(b) 40 km
(c) 25 km
(d) 35 km
(e) None of these
Q2. A bath tub can be filled by the cold water pipe in 20 minutes and by the hot water pipe in 30 minutes. A person leaves the bathroom after turning on both pipes simultaneously and returns at the moment when the bath tub should be full. Finding, however, that the waste pipe has been open, he now closes it. In 6 minutes more the bath tub is full. In what time would the waste pipe empty it ?
(a) 16 min
(b) 29 min
(c) 24 min
(d) 27 min
(e) None of these
Q3. A policeman starts to chase a thief. When the thief goes 10 steps the policeman moves 8 steps. 5 steps of the policeman is equal to 7 steps of the thief. The ratio of the speeds of the policeman and the thief is
(a) 25 : 28
(b) 25 : 26
(c) 28 : 25
(d) 56 : 25
(e) None of these
Q4. A car driver leaves Bangalore at 8.30 A.M. and expects to reach at a place 300 km from Bangalore at 12.30 P.M. At 10.30 he finds that he has covered only 40% of the distance. By how much he has to increase the initial speed of the car in order to keep up his schedule ?
(a) 45 km/hr
(b) 40 km/hr
(c) 35 km/hr
(d) 30 km/hr
(e) None of these
Q5. A car covers total 140 km distance, it covers some part of the journey at the speed of 6 km/hr and the rest part of journey at 10 km/hr. If speed of 6 km/hr is replaced by 10 km/hr and speed 10 km/hr is replaced by 6 km/hr, it covers 8 km more distance in the same time. Find time taken by the car to cover 140 km distance and also find average speed of the car.
(a) 4
(b) 8
(c) 6
(d) 3
(e) 5
Directions (7-8): P, Q and R are 3 small pumps fitted to a tank. S is a large pump fitted to the tank. Q is 50% more efficient than P. R is is more efficient than Q. S is 50% more efficient than R. All of the pumps are used to fill the tank.
Q7. What is the ratio of the time taken by pumps P and R to fill the tank together to the time taken by pumps Q and S to fill the tank together ?
(a) 3 : 2
(b) 4 : 3
(c) 2 : 3
(d) 3 : 5
(e) None of these
Q8. If pump S starts emptying the tank instead of filling it, then find the ratio of time taken by all pumps to fill the tank to the time taken by all pumps to fill the tank when all pumps are used to fill the tank?
(a) 7 : 5
(b) 5 : 1
(c) 6 : 1
(d) 2 : 3
(e) None of these
Q9. Ratio between speed of two boats A & B in still water is 4 : 3 and speed of current is 4 km/hr .Boat B starts from point P in downstream, two hours earlier than boat A and it is found that boat A is16 km ahead of boat B after 12 hours of its start. If boat A start from point Q in upstream and boat B start from point P in downstream at same time and distance between P and Q is 108 km, then find in what time boat A & B meet each other?
Q10. Two trains A & B are running in opposite directions and cross each other 8 sec. Train A crosses train B in 56 sec when both trains are running in same direction. If length of train B is increased by 25%, then train A cross train B in 62 sec while running in same direction. If length of trains A is 60 meters more than length of train B, then in how much time train A will cross a bridge, whose length is 25 % more than length of train A?
(a) 20 sec
(b) 10 sec
(c) 15 sec
(d) 14 sec
(e) 18 sec
Directions (11-15): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer
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