Suppose, P points make the game.
Clearly, when A scores P points, B scores (P - 20) points and C scores (P - 32) points.
Now, when B scores P points, C scores (P - 15) points.

Correct Option: A

Suppose, P points make the game.
Clearly, when A scores P points, B scores (P - 20) points and C scores (P - 32) points.
Now, when B scores P points, C scores (P - 15) points.
When B scores (P - 20) points,
C scores [( P - 15 ) / P * P (P - 20)] points
∴ (P - 15)( P - 20) / P = P - 20 or, P = 100
Hence, 100 points make the game.

15 meter is covered by B in 5 sec .
∴ 300 meter is covered by B in 5 × 300/15 = 100 seconds

Correct Option: B

15 meter is covered by B in 5 sec
∴ 300 meter is covered by B in 5 × 300/15 = 100 seconds
∴ A takes 100 - 5 = 95 seconds.

In a game of 50.
While A scores 50, B scores 50 - 6 = 44 and in a game of 65. While A scores 65, C scores 65 - 13 = 52.

Correct Option: C

In a game of 50.
While A scores 50, B scores 50 - 6 = 44 and in a game of 65. While A scores 65, C scores 65 - 13 = 52.
∴ While A scores 50, C scores 52 / 65 × 50 = 40.
∴ While B scores 44, C’s score = 40.
While B scores 55, C’s score = 40 / 44 × 55 = 50.
∴ In a game of 55,
B can give C 55 - 50 = 5 points.

The speed of A and B are in the ratio 11 : 8.
Let, speeds be 11s and 8s (in m/sec).
Let, race be of P meter.

Correct Option: B

The speed of A and B are in the ratio 11 : 8.
Let, speeds be 11s and 8s (in m/sec).
Let, race be of P meter.
Then, time taken by A to run P meter is same as that of B to run (P - 120) meter.
∴ P / 11 = (P - 120) / 8
∴ P / 11 = (P - 120 / 8
∴ 8P = 11 x (P - 120 )
∴ 8P = 11P - 120 x 11
∴ 11P - 8P = 120 x 11
∴ 3P = 11 × 120
∴ P = 440.

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