races and games aptitude questions

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1. In a 100 m race, A can give B 10 m and C 28 m. In the same race B can give C:
A. 18 m B. 20 m
C. 27 m D. 9 m

Answer: Option B

Explanation:

 

A : B = 100 : 90.

A : C = 100 : 72.

 

B : C = B x A = 90 x 100 = 90 .
A C 100 72 72

When B runs 90 m, C runs 72 m.

 

When B runs 100 m, C runs 72 x 100 m = 80 m.
90

B can give C 20 m.
2. A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is:
A. 5.15 kmph B. 4.14 kmph
C. 4.25 kmph D. 4.4 kmph

Answer: Option B

Explanation:

 

 

A’s speed = 5 x 5 m/sec = 25 m/sec.
18 18

 

Time taken by A to cover 100 m = 100 x 18 sec = 72 sec.
25

Time taken by B to cover 92 m = (72 + 8) = 80 sec.

 

B’s speed = 92 x 18 kmph = 4.14 kmph.
80 5
3. In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:
A. 60 m B. 40 m
C. 20 m D. 10 m

Answer: Option C

Explanation:

 

To reach the winning post A will have to cover a distance of (500 – 140)m, i.e., 360 m.

While A covers 3 m, B covers 4 m.

 

While A covers 360 m, B covers 4 x 360 m = 480 m.
3

Thus, when A reaches the winning post, B covers 480 m and therefore remains 20 m behind.

A wins by 20 m.
4. In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by:
A. 5.4 m B. 4.5 m
C. 5 m D. 6 m

Answer: Option D

Explanation:

 

A : B = 100 : 90.

A : C = 100 : 87.

 

B = B x A = 90 x 100 = 30 .
C A C 100 87 29

When B runs 30 m, C runs 29 m.

 

When B runs 180 m, C runs 29 x 180 m = 174 m.
30

B beats C by (180 – 174) m = 6 m.
5. At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many points can B give C in a game of 90?
A. 30 points B. 20 points
C. 10 points D. 12 points

Answer: Option C

Explanation:

 

A : B = 60 : 45.

A : C = 60 : 40.

 

B = B x A = 45 x 60 = 45 = 90 = 90 : 80.
C A C 60 40 40 80

B can give C 10 points in a game of 90.

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