Races and games
 In a 1000 m race A beats B by 100 m and C by 200 m. By how much can B beats C in a race of 1350 m?

 125 m
 130 m
 140 m
 150 m

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If A run 1000 meters then B runs 900 meters and C runs 800 meters.
∴ B runs 1350 meters while C will run 800 * 1350/ 900 = 1200 metersCorrect Option: D
If A run 1000 meters then B runs 900 meters and C runs 800 meters.
∴ B runs 1350 meters while C will run 800 * 1350/ 900 = 1200 meters
Hence, B can beat C by (1350 – 1200) = 150 m
 In a game of 100 points A can give B 20 points and C 28 points. How many points can B give C in a game of 100 points?

 12 points
 15 points
 20 points
 10 points

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If A scores 100 then B scores 80 and C scores 72.
∵ B scores 80 while C 72 .Correct Option: D
If A Score 100 then B scores 80 and C score 72.
∵ B scores 80 while C scores 72
∴ B scores 100 while C scores 72 * 100 / 80 = 90 points
Hence, in 100 points B can give (100 – 90) = 10 points
 A can give B 50 m start and C 80 m start in the 1000 m race, how many metres start B give C in a 1000 m race?

 31 m
 31^{11}⁄_{19} m
 31^{2}⁄_{19} m
 30^{11}⁄_{19} m

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In a game of 1000 meters, If A scores 1000 meters then B scores 950 meters and C scores 920 meters.
∴ B runs 1000 m while C scores 920 x 1000 / 950= 18400 / 19 mCorrect Option: B
In a game of 1000 meters, If A scores 1000 meters then B scores 950 meters and C scores 920 meters.
∴ B runs 1000 m while C scores 920 x 1000 / 950= 18400 / 19 m
Hence, in 1000 m race, B can give C (1000  18400 / 19) = 600 / 19 = 31^{11}⁄_{19} meters start.
 In a game of 250 points A can give B 50 points and C 70 points. In the same game how many points can B give C?

 18 points
 20 points
 22 points
 25 points

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In a game of 250 points, A scores 250 then B scores 200 points and C scores 180.
Correct Option: D
In a game of 250 points, A scores 250 then B scores 200 points and C scores 180.
∴ B scores 250 points while C scores 180 x 250 / 200 = 225 points
Hence, in a game of 250 points B can give C (250 – 225) = 25 points
 In a race of 300 metres A beats B by 15 metres or 5 seconds. How much time A does take to complete the race?

 105 sec.
 100 sec.
 95 sec.
 90 sec.

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From the question it is clear that speed of B = 15 / 5 = 3 m/s
The time taken by B to cover 300 m = 300 / 3 = 100 sec.Correct Option: C
From the question it is clear that speed of B = 15 / 5 = 3 m/s
The time taken by B to cover 300 m = 300 / 3 = 100 sec.
Hence, time taken by A to complete the race = 100 – 5 = 95 sec.