1. Two friends A and B run around a circular track of length 510 metres, starting from the same point, simultaneously and in the same direction. A who runs faster laps B in the middle of the 5th round. If A and B were to run a 3 km race long race, how much start, in terms of distance, should A give B so that they finish the race in a dead heat?

(1)    545.45 metres            (2)    666.67 metres
(3)    857.14 metres            (4)    Cannot be determined

Correct Answer - (2)

2. A passenger train covers the distance between stations X and Y, 50 minutes faster than a goods train. Find this distance if the average speed of the passenger train is 60 kmph and that of goods train is 20 kmph.

(1)    20 kms            (2)    25 kms
(3)    45 kms            (4)    40 kms

Correct Answer - (2)

3. I travel the first part of my journey at 40 kmph and the second part at 60 kmph and cover the total distance of 240 km to my destination in 5 hours. How long did the first part of my journey last?

(1)    4 hours            (2)    2 hours
(3)    3 hours            (4)    2 hours 24 minutes

Correct Answer - (3)

4. Three friends A, B and C run around a circular track of length 120 metres at speeds of 5 m/s, 7 m/sec and 15 m/sec, starting simultaneously from the same point and in the same direction. How often will the three of them meet?

(1)    Every 60 seconds            (2)    Every 120 seconds
(3)    Every 30 seconds            (4)    None of these

Correct Answer - (1)

5. Yana and Gupta leave points x and y towards y and x respectively simultaneously and travel in the same route. After meeting each other on the way, Yana takes 4 hours to reach her destination, while Gupta takes 9 hours to reach his destination. If the speed of Yana is 48 km/hr, what is the speed of Gupta?

(1)    72 kmph            (2)    32 mph
(3)    20 mph            (4)    None of these

Correct Answer - (3)

6. Ram covers a part of the journey at 20 kmph and the balance at 70 kmph taking total of 8 hours to cover the distance of 400 km. How many hours has been driving at 20 kmph?

(1)    2 hours            (2)    3 hours 20 minutes
(3)    4 hours 40 minutes            (4)    3 hours 12 minutes

Correct Answer - (4)

7. A man can row 50 km upstream and 72 km downstream in 9 hours. He can also row 70 km upstream and 90 km downstream in 12 hours. Find the rate of current.

(1)    3 km/hr            (2)    8km/hr
(3)    4 km/hr            (4)    None of these

Correct Answer - (3)

8. Jim travels the first 3 hours of his journey at 60 mph speed and the remaining 5 hours at 24 mph speed. What is the average speed of Jim’s travel in mph?

(1)    42 mph             (2)    36 mph
(3)    37.5 mph             (4)    42.5 mph

Correct Answer - (3)

9. A train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 40 seconds. What is the length of the train in meters?

(1)    1777 meters          (2)    1822 meters
(3)    400 meters          (4)    410 meters

Correct Answer - (3)

10. A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 18 seconds. What is the length of the platform in meters?

(1)    240 meters          (2)    360 meters
(3)    420 meters          (4)    600 meters

Correct Answer - (1)