1. Anand can row his boat in still water at a speed of 6 kmph. If the speed of the stream is 4 kmph, how long will he take to row a distance of 30 km downstream?
A. 2 hrs
B. 3 hrs
C. 4 hrs
D. 5 hrs
Correct Answer : B
2. A started running towards South at 7:00 a.m. B started running towards South at 11:00 a.m. At what time will they meet if the speeds of A and B are in the ratio 3 : 7 and they started from the same point?
A. 1 pm
B. 2 pm
C. 12.30 pm
D. 1.30 pm
Correct Answer : B
3. Find the angle between the hands of a clock at 2:30 p.m.
A. 120
B. 105
C. 150
D. 90
Correct Answer : B
4. Car A left P for Q at 8:00 a.m. Car B left Q for P at 9:00 a.m. If the speeds of A and B are 60 kmph and 40 kmph respectively and the distance between P and Q is 360 km, at what time will they meet?
A. 11 am
B. 12 noon
C. 1 pm
D. 12.30 pm
Correct Answer : B
5. X and Y are 400 km apart. At 7:00 a.m., buses A and B left X and Y simultaneously for Y and X respectively. If the speeds of A and B are 30 kmph and 70 kmph respectively, at what time will they meet?
A. 11.30 am
B. 10.30 am
C. 12 noon
D. 11 am
Correct Answer : D
6. A train 400 m long travels at a speed of 36 kmph. Find the time it would take to cross a platform 600 m long.
A. 100 seconds
B. 200 seconds
C. 150 seconds
D. 250 seconds
Correct Answer : A
7. Two trains have lengths of 500 m and 600 m. They are running on parallel tracks towards each other. Find the total distance travelled by the trains from the time they start to cross each other to the time they completely cross each other (in m).
A. 100
B. 1100
C. 2200
D. Cannot be determined
Correct Answer : B
8. Ajay left X for Y at 9:00 a.m. At the same time, Bala left Y for X. After their meeting at a point on the way Ajay took 16 minutes to reach Y and Bala took 9 minutes to reach X. Find their meeting time.
A. 9.06 am
B. 9.09 am
C. 9.12 am
D. Cannot be determined
Correct Answer : C
9. In a 100 m race, A beats B by 10 m and B beats C by 10 m. By what distance does A beat C (in m)?
A. 20
B. 18
C. 19
D. Cannot be determined
Correct Answer : C
10. A car left A for B at an average speed of 60 kmph and reached B one hour late. If it|had left at|an average speed of 80 kmph, it would have reached B one hour early. Find the average speed of the car at which it must travel to arrive at B on time.
A. 70 kmph
B. (500/7) kmph
C. (480/7) kmph
D. (440/7) kmph
Correct Answer : C
11. Gopal travelled first half of his journey time at an average speed of 40 kmph and the remaining half at an average speed of 50 kmph. Find his average speed for the journey.
A. 42 kmph
B. 45 kmph
C. 48 kmph
D. Cannot be determined
Correct Answer : B
12. Ganesh and Girish are running along a circular track 600 m long starting from the same point simultaneously. If their speeds are 8 m/sec and 4 m/sec respectively, how many more rounds than Girish will Ganesh complete in an hour?
A. 24
B. 36
C. 48
D. 72
Correct Answer : A
13. P beats Q by 125 m in a kilometer race. Find Q's speed if P's speed is 16 m/sec.
A. 21 m/sec
B. 7 m/sec
C. 14 m/sec
D. 18 m/sec
Correct Answer : C
14. If a man travelled at 3/4th of his usual speed, then the time taken in this case is how many times the usual time?
A. 3 / 4
B. 4 / 3
C. 3 / 5
D. Cannot be determined
Correct Answer : B
15. While travelling from office to home, Alok's car gave him a trouble so he took 25% more than the usual time to reach home. His speed in this case is what part of the usual speed?
A. 4/5
B. 5 / 4
C. 3 / 5
D. Cannot be determined
Correct Answer : A
16. Two trains have lengths of 500 m and 600 m. They are running on parallel tracks towards each other., if the two trains are moving in the same direction, from the moment the faster train started to overtake the slower train, what is the distance it has to
A. 100
B. 1100
C. 2200
D. Cannot be determined
Correct Answer : B
17. Two trains have lengths of 500 m and 600 m. They are running on parallel tracks towards each other., if the trains are moving in the same direction, find the distance that the faster train should travel to cross the slower train completely, (in m),
A. 100
B. 1100
C. 2200
D. Cannot be determined
Correct Answer : D
18. Cars X and Y started from A with speeds in the ratio 4 : 5 at 9:00 a.m. and 10:00 a.m. respectively. If both the cars travelled in the same direction, find the ratio of the distances that X and Y would have covered before meeting.
A. 1 : 1
B. 2 : 1
C. 1 : 2
D. 3 : 2
Correct Answer : A
19. In a 200 m race, A gives B a start of 10 m and beats him by 10 m. Find the ratio of the speeds of A and B.
A. 3 : 5
B. 5 : 3
C. 10 : 9
D. 9 : 10
Correct Answer : C
20. The ratio of the speeds of P, Q and R is 3 : 4 : 6. Find the ratio of the times that P, Q and R would take to run a certain distance.
A. 4 : 3 : 1
B. 2 : 3 : 4
C. 3 : 2 : 4
D. 4 : 3 : 2
Correct Answer : D
21. In a 800 m race, A gives B a start of 100 m. Find the ratio of the speeds of A and B if they finish simultaneously.
A. 8 : 7
B. 9 : 8
C. 1 : 1
D. 3 : 2
Correct Answer : A
22. Three cyclists start cycling simultaneously from the same point on a circular track 900 m long in the same directions with speeds of 10 m/sec, 20 m/sec and 15 m/sec respectively. How long will they take (in seconds) before they meet for the first time?
A. 90
B. 180
C. 360
D. 45
Correct Answer : B
23. Ajay and Vijay start running simultaneously from a point on a circular track 1000 m long with speeds of 5 m/sec and 3 m/sec respectively. Find the time (in seconds) taken by them to meet for the first time, if they are running in opposite direction
A. 125
B. 500
C. 1000
D. 2000
Correct Answer : A
24. Ajay and Vijay start running simultaneously from a point on a circular track 1000 m long with speeds of 5 m/sec and 3 m/sec respectively. Find the time (in seconds) taken by them to meet for the first time, if they are running in the same direction
A. 125
B. 500
C. 1000
D. 2000
Correct Answer : B
25. Rajesh takes 4 hours to row his boat 30 km in a river downstream and 8 hours to return. Find the ratio of the speed of his boat in still water and the speed of the stream.
A. 2 : 1
B. 3 : 1
C. 4 : 1
D. 5 : 1
Correct Answer : B
26. Find the number of times that the hands of a clock are 180° apart in a day.
A. 11
B. 22
C. 12
D. 44
Correct Answer : B
27. Find the time interval (in minutes) between the consecutive times that the hands of a clock are at right angles to each other.
A. 33 (7/11)
B. 34 (6/11)
C. 32 (8/11)
D. 35 (8/11)
Correct Answer : C
28. Three cyclists start cycling simultaneously from the same point on a circular track 900 m long in the same directions with speeds of 10 m/sec, 20 m/sec and 15 m/sec respectively., how long will the cyclists take (in seconds) to meet at the starting point
A. 45
B. 90
C. 180
D. 360
Correct Answer : C
29. A gives B a start of 10 m or 2 seconds in a 100 m race. Find A's speed if both finish simultaneously.
A. 3 (1/3) m/sec
B. 5 (5/9) m/sec
C. 6 (5/9) m/sec
D. 4 (1/9) m/sec
Correct Answer : B
30. P and Q started running from a point on a circular track 800 m long with speeds of 6 m/sec and 2 m/sec simultaneously in opposite directions. After meeting for the first time they exchange their speeds. After how many seconds will they meet again?
A. 200
B. 100
C. 300
D. Cannot be determined
Correct Answer : B
31. A boat takes 4 hours to cover 8 km upstream and 2 hours to cover 20 km downstream. Find the speed of the boat in still water and the speed of the stream.
A. 4 km/hr, 6 km/hr
B. 6 km/hr, 4 km/hr
C. 8 km/hr, 6 km/hr
D. 6 km/hr, 8 km/hr
Correct Answer : B
32. A beats B by 10 m or 2 seconds in a 100 m race. Find A's speed.
A. 3 (1/3) m/sec
B. 6 (5/9) m/sec
C. 5 (5/9) m/sec
D. 4 (1/9) m/sec
Correct Answer : C
33. Travelling at three-fifth of his usual speed a man is late by 20 minutes. What is the usual time to cover the same distance?
A. 25 minutes
B. 30 minutes
C. 40 minutes
D. 35 minutes
Correct Answer : B
34. The ratio of the speeds of A and B is 3 : 7. If B takes 20 minutes less than A to cover a certain distance, then what is the time taken by A to cover the distance?
A. 31 min
B. 22 min
C. 28 min
D. 35 min
Correct Answer : D
35. Two persons A and B are running around a circular track of length 1800 m at speeds of 40 m/minute and 50 m/minute respectively. Both of them start at the same point in the same direction but B reverses his direction every time he completes one round. Afte
A. 180 minutes
B. 40 minutes
C. 80 minutes
D. 90 minutes
Correct Answer : B
36. Murali travelled from city A to city B at a speed of 40 kmph and from city B to city C at 60 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 3?
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