races and games aptitude 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:
A. 22.75 m B. 25 m
C. 19.5 m D.
7 4 m
7

Answer: Option B

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:
A. 20 m B. 25 m
C. 22.5 m D. 9 m

Answer: Option A

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:
A. 8 points B. 10 points
C. 14 points D. 40 points

Answer: Option B

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:
A. 40 sec B. 47 sec
C. 33 sec D. None of these

Answer: Option C

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:
A. 100 m B.
111 1 m
9
C. 25 m D. 50 m

Answer: Option A

Explanation:

 

 

When B runs 25 m, A runs 45 m.
2

 

When B runs 1000 m, A runs 45 x 1 x 1000 m = 900 m.
2 25

B beats A by 100 m.

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