This is aptitude questions and answers section on Races and Games with explanation for various interview, competitive examinations and entrance tests.

1. In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
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Answer: Option B

Explanation:

Time taken by B run 1000 meters = (1000 * 10)/50 = 200 sec.

Time taken by A = 200 - 10 = 190 sec.

2. A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
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Answer: Option A

Explanation:

A runs 1000 m while B runs 900 m and C runs 800 m.

The number of meters that C runs when B runs 1000 m,

= (1000 * 800)/900 = 8000/9 = 888.88 m.

B can give C = 1000 - 888.88 = 111.12 m.

3. A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
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Answer: Option D

Explanation:

A can give B (5 min - 4 1/2 min) = 30 sec start.

The distance covered by B in 5 min = 1000 m.

Distance covered in 30 sec = (1000 * 30)/300 = 100 m.

A can give B 100m start.

4. In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m?
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Answer: Option B

Explanation:

When A runs 1000 m, B runs 900 m and when B runs 800 m, C runs 700 m.

When B runs 900 m, distance that C runs = (900 * 700)/800 = 6300/8 = 787.5 m.

In a race of 1000 m, A beats C by (1000 - 787.5) = 212.5 m to C.

In a race of 600 m, the number of meters by which A beats C = (600 * 212.5)/1000 = 127.5 m.

5. In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?
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Answer: Option C

Explanation:

A scores 60 while B score 40 and C scores 30.

The number of points that C scores when B scores 100 = (100 * 30)/40 = 25 * 3 = 75.

In a game of 100 points, B gives (100 - 75) = 25 points to C.