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?

Question:
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.

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:

Question:
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

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:

Question: 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.

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:

Question:
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.

In a 100 m race, A can give B 10 m and C 28 m. In the same race B can give C:

Question:
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.

In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by:

Question:
In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by:

[A].

21 m

[B].

26 m

[C].

28 m

[D].

29 m

Answer: Option C

Explanation:

A : B = 100 : 75

B : C = 100 : 96.

A : C = A x B = 100 x 100 = 100 = 100 : 72.
B C 75 96 72

A beats C by (100 – 72) m = 28 m.

A runs 1 times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?

Question:
A runs 1 times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?

[A].

200 m

[B].

300 m

[C].

270 m

[D].

160 m

Answer: Option A

Explanation:

Ratio of the speeds of A and B = 5 : 1 = 5 : 3.
3

Thus, in race of 5 m, A gains 2 m over B.

2 m are gained by A in a race of 5 m.

80 m will be gained by A in race of 5 x 80 m = 200 m.
2

Winning post is 200 m away from the starting point.

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:

Question:
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.