If A runs 880 meter then B runs 840 meters and C runs 798 meters.

Correct Option: B

If A runs 880 meter then B runs 840 meters and C runs 798 meters.
∵ B runs 840 m while C 798 m
∴ B runs 880 m while C 798 * 880 / 840 = 836 m
Now, 880 – 836 = 44 m
Hence, C runs 44 m in 9 seconds
∴ C runs 880 m in 9 * 880 / 44 = 180 sec. = 3 min.

∵ B runs 1000 m while C 960 m
∴ B runs 995 m while C 960 * 995 / 1000 = 912 m

Correct Option: D

∵ B runs 1000 m while C 960 m
∴ B runs 995 m while C 960 * 995 / 1000 = 912 m
Now, A runs 1000 m while C 960 m
∴ A runs 2000 m while C 2000 * 912 / 1000 = 1824 m
Hence, A can give C (2000 – 1824) = 176 m start.

To reach the winning post B will have to cover the distance (440 – 40) = 400 m

Correct Option: A

To reach the winning post B will have to cover the distance (440 – 40) = 400 m.
Hence,
time taken by B to cover 440 meter = 55
time taken by B to cover 1 meter = 55 / 440
time taken by B to cover 400 meter = 400 x 55 / 440 = 40 x 55/44 =10 x 55/11 = 10 x 5
time taken by B to cover 400 meter = 50 Sec.

Since, A reaches the winning post in 51 sec. while B in 50 sec.
So, B will win by 1 second.

Distance covered by B in 27 seconds = 100 x 27 / 30 = 90 m

Correct Option: C

Distance covered by B in 27 seconds = 100 x 27 / 30 = 90 m
Hence, A will beat B by (100 – 90) = 10 m.

A : B = 200 : 160
A : C = 200 : 144
∴ B/C = (B/A) x (A/C)

Correct Option: A

A : B = 200 : 160
A : C = 200 : 144
∴ B/C = (B/A) x (A/C) = (160/200) x (200/144)
= 160/144 = 10/9 = 200/180
Hence, B can give C 20 points