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Races & Games of Skill

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41.

In a 100m race, A beats B by 10m and C by 13m. In a race of 180m, B will beat C by :

Answer: C

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42.

If in a race of 80m, A covers the distance in 20 seconds and B in 25 seconds, then A beats B by:

Answer: B

The difference in the timing of A and B is 5 seconds. Hence, A beats B by 5 seconds.
The distance covered by B in 5 seconds = (80 * 5) / 25 = 16m
Hence, A beats B by 16m.

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43.

In a 200 metres race A beats B by 35 m or 7 seconds. A's time over the course is :

Answer: C

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44.

At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many points can B give C in a game of 90?

Answer: C

A : B = 60 : 45.
A : C = 60 : 40.
B/C = B/A x A/C = 45/60 x 60/40 = 45/40 = 90/80 = 90 : 80.
B can give C 10 points in a game of 90.

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45.

At a game of billiard, A can give B 12 points in a game of 40 and A can give C 10 Points in game of 50. How many points can C and B in a game of 80?

Answer: A

When A scores 40 points, B scores (40 – 12) points.
When A scores 50 points, C scores (50 – 10) points.

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46.

P can run 100m in 20 second and Q in 25 seconds. P beats Q by

Answer: B

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47.

If in a game of 80, P can give 16 points to Q and R can give 20 points to P, then in a game of 150, how many points can R give to Q?

Answer: B

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48.

A and B run a km and A wins by 1 minute. A and C run a km and ‘A’ wins by 375 metres. B and C run a km and B wins by 30 seconds. Find the time taken by each to run a km.

Answer: B

Since A beats B by 60 seconds and B beats C by 30 seconds. So, A beats C by 90 seconds. But, it being given that A beats C by 375 metres. So it means that Covers 375 metres in 90 seconds.
Time taken by C to cover 1 km =90/375×1000 seconds= 240 seconds
Time taken by A to cover 1 km = (240-90) seconds = 150 seconds
Time taken by B to cover 1 km = (240-30) seconds= 210 seconds.

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49.

In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:

Answer: C

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50.

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?

Answer: B

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.

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