Race and Games

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Question 1

Ram and Shyam participate in a race of 200m. If Ram starts when Shyam has covered 25 meters, then Ram finishes the race 10 seconds before Shyam and if Ram starts when Shyam has covered 45 meters then both finish the race at the same time. How long does Ram take to run 200m?

  • 120

  • 77.5

  • 87.2

  • 100

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Question 2

If Geeta gives Meena a 100-meter head start or waits for 20 seconds before starting, and both conditions result in them finishing the race at the same time, how long does it take Geeta to cover the 1000 meters?

  • 200 sec

  • 160 sec

  • 180 sec

  • 140 sec

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Question 3

Sita and Radha participate in a race of 1000 m. If Sita starts, when Radha has covered 100 meters, then Sita finishes the race 20 seconds before Radha, and if Sita starts, when Radha has covered 125 meters then both finish the race at the same time. How long does Sita take to run the complete race?
 

  • 350 sec
     

  • 700 sec
     

  • 780 sec
     

  • 900 sec
     

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Question 4

Ram and Sita participate in a 1000-meter race. If Ram gives Sita a head start of either 200 meters or 20 seconds, and both conditions result in them finishing the race at the same time, how long does it take Ram to complete the race?"

  • 70 sec

  • 120 sec

  • 100 sec

  • 80 sec

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Question 5

In a 400-meter race around a circular track, Aaron gives Brad a head start of 25 meters. If Aaron runs at a speed of 8 meters per second, and Brad at 6 meters per second, who will win the race, and by how many seconds?

  • Aaron wins by 12.5 seconds

  • Brad wins by 10.5 seconds

  • Aaron wins by 5 seconds

  • Brad wins by 5 seconds.

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Question 6

Ram and Shyam are racing along a circular track. The speed of Ram is thrice the speed of Shyam. The length of the circular track is 1440 m. After the start of the race from the same point simultaneously, Ram meets Shyam for the first time at the end of the 8th minute. If Ram and Shyam start the race again from the same starting point simultaneously, then the time taken by Shyam to finish the race is: (given that the length of the race is same as the length of the track)

  • 7.5 min

  • 16 min

  • 30 min

  • 22.5 min

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Question 7

In a 500 m race, P and Q have speeds in the ratio of 3 : 4. Q starts the race when P has already covered 140 m. What is the distance between P and Q (in m) when P wins the race?

  • 20

  • 40

  • 60

  • 140

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Question 8

In a game of billiards:

  • Player X can give Y 12 points in 60.
  • Player X can give Z 18 points in 60.

How many points can Y give Z in a game of 120?

  • 15

  • 6

  • 12

  • 4

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