If A runs 600 m, B runs 600 - 60 or, 540 m.
If A runs 400 m, B runs = 540 x 400 / 600 = 360 m.
Now, when B runs 500 m, C runs 500 - 50 = 450 m.

Correct Option: C

If A runs 600 m, B runs 600 - 60 or, 540 m.
If A runs 400 m, B runs = 540 x 400 / 600 = 360 m.
Now, when B runs 500 m, C runs 500 - 50 = 450 m.
∴ When B runs 360 m, C runs = 450 * 360 / 500 = 324 m
∴ A beats C by 400 - 324 = 76 m.

Clearly, if A runs 600 meters, B runs = 540 m.

Correct Option: C

Clearly, if A runs 600 meters, B runs = 540 m.
∴ If A runs 400 m, B runs = 540 x 400 / 600 = 540 x 4 / 6 = 90 x 4 = 360 m
Again, when B runs 500 m, C runs = 450 m
∴ When B runs 360 m, C runs = 450 x 360 / 500 = 45 x 36 / 5 = 9 x 36 = 324 m.
∴ A beats C by 400 - 324 = 76 m.

Here, A will have to cover a distance of (500 – 140) = 360 meters to reach the winning point while B 500 meters . A covers 3 while B covers 4.

Correct Option: B

Here, A will have to cover a distance of (500 – 140) = 360 meters to reach the winning point while B 500 meters . A covers 3 while B covers 4.
∴ A covers 360 m while B covers 4 x 360/ 3 = 480 m
Hence, B will be (500 – 480) = 20 m behind the winning post.
∴ A wins by 20 m.

In a Game of 80 points,
A scores 80 points , B scores 75 points and C scores 65 points.
∵ B scores 75 points while A 80
∴ B scores 60 points while A = 80 x 60 / 75 = 64

Correct Option: C

∵ B scores 75 points while A 80
∴ B scores 60 points while A = 80 x 60 / 75 = 64
Again, A scores 80 points while C = 65
∴ A scores 64 points while C = 65 x 64 / 80 = 52 points
Hence, in a game of 60, B can give C (60 – 52) = 8 points

If A runs 600 m, then B runs 570 m.
If A runs 400 m, B then runs (570/600) x 400 m = 380 m
When B runs 500 m, then C runs 475 m,
When B runs 380 m, then C runs (475/500) x 380 = 361 m

Correct Option: A

If A runs 600 m, then B runs 570 m.
If A runs 400 m, B then runs (570/600) x 400 m = 380 m
When B runs 500 m, then C runs 475 m,
When B runs 380 m, then C runs (475/500) x 380 = 361 m
∴ A beats C by (400 - 361) = 39 m