# Aptitude - Races and Games

Exercise : Races and Games - General Questions
6.
In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by:
22.75 m
25 m
19.5 m
 7 4 m 7
Explanation:

A : B = 200 : 169.

A : C = 200 : 182.

 C = C x A = 182 x 200 = 182 : 169. B A B 200 169

When C covers 182 m, B covers 169 m.

 When C covers 350 m, B covers 169 x 350 m = 325 m. 182

Therefore, C beats B by (350 - 325) m = 25 m.

7.
In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:
20 m
25 m
22.5 m
9 m
Explanation:

 Distance covered by B in 9 sec. = 100 x 9 m = 20 m. 45 A beats B by 20 metres.

8.
In a game of 100 points, A can give B 20 points and C 28 points. Then, B can give C:
8 points
10 points
14 points
40 points
Explanation:

A : B = 100 : 80.

A : C = 100 : 72. B = B x A = 80 x 100 = 10 = 100 = 100 : 90. C A C 100 72 9 90 B can give C 10 points.

9.
In a 200 metres race A beats B by 35 m or 7 seconds. A's time over the course is:
40 sec
47 sec
33 sec
None of these
Explanation:

B runs 35 m in 7 sec. B covers 200 m in 7 x 200 = 40 sec. 35

B's time over the course = 40 sec. A's time over the course (40 - 7) sec = 33 sec.

10.
A can run 22.5 m while B runs 25 m. In a kilometre race B beats A by:
100 m
 111 1 m 9
25 m
50 m
 When B runs 1000 m, A runs 45 x 1 x 1000 m = 900 m. 2 25 B beats A by 100 m.