According to the question, A : B = 200 : 150
and B : C = 200 : 192
∴ A : C = (A/B) x (B/C) = (200/150) x (200/192) = 200/144

Correct Option: C

According to the question, A : B = 200 : 150
and B : C = 200 : 192
∴ A : C = (A/B) x (B/C) = (200/150) x (200/192) = 200/144
So, A beats C by (200 - 177) = 56 m

A : B = 160 : 150, A : C =160 : 130
B/C = (B/A) x (A/C) = (150/160) x (160/130) = 15/13 = 60 : 52

Correct Option: D

A : B = 160 : 150, A : C =160 : 130
B/C = (B/A) x (A/C) = (150/160) x (160/130) = 15/13 = 60 : 52
∴ In a game of 60, B can give C = (60 - 52)= 8 points

Clearly, Yogesh beats vijay by 20 s.
Distance covered by vijay in 400 s = 1000 m
[∵ 6 min 40 s = 400 s]

Correct Option: A

Clearly, Yogesh beats vijay by 20 s.
Distance covered by vijay in 400 s = 1000 m
[∵ 6 min 40 s = 400 s]
Distance covered by Vijay in 20 s = (1000/400) x 20 m = 50 m
∴ Yogesh beats Vijay by 50 m.

Time taken by L to run 1 km = 600 s
Time taken by M to run 1 km = 720 s
∴ L can give M a start of (720 - 600) = 120 s

Correct Option: A

Time taken by L to run 1 km = 600 s
Time taken by M to run 1 km = 720 s
∴ L can give M a start of (720 - 600) = 120 s
∵ In 720 s, M runs 1000 m.
In 120 s M runs = (1000/720) x 120 = 500/3 m = 166²/₃ m
Hence, L can give a start of 166²/₃ m

Clearly, X beats Y by 8 s.
Distance covered by Y in 600 s = 1000 m

Correct Option: D

Clearly, X beats Y by 8 s.
Distance covered by Y in 600 s = 1000 m
(∵ 10 min = 600 s)
Distance covered by Y 80 s. = (1000/600) x 80 = 400/3 m = 133¹/₃ m