# Races and Games Aptitude Test Paper 2

6) In a game of 100 points. A can give B 20 points and C 28 points. How many points can B give C in a game of 100 points?

1. 5
2. 10
3. 15
4. None of these

Explanation:

When A makes 100 points, B makes
(100 - 20) = 80 Points and C makes (100 - 28) = 72 points
So, when B makes 80 points, C makes 72 points.
∴ When B makes 100 points then C makes ∴ B can give C 10 points in a game of 100 points.

7) A, B, and C are three contestants in a one kilometer race. If A can give B a start of 40 m and A can give a start of 64 m, how many meters? start can B give C?

1. 35 m
2. 25 m
3. 20 m
4. None of these.

Explanation:

While A covers 1000 m, B covers (1000 - 40) m = 960 m
And C covers (1000 - 64) m = 936 m.
When B covers 960 m, C covers 936 m.
When B covers 1000 m, C covers ∴ B can give C a start of
(1000 - 975) = 25 m.

8) Three men A, B and C walk around a circle, 1760 meters in circumference, at the rates of 160 meters, 120 meters and 105 meters per minute respectively. If they all start together and walk in the same direction, when will they be first together again?

1. 44 minutes
2. 32 minutes
3. 352 minutes
4. None of these.

Explanation:

To gain 40 meters over B, A takes 1 minute.
To gain 1760 meters over B, A takes: Again, to gain 55 meters over C, A takes 1 min.
∴To gain 1760 meters over C, A takes Thus, A and B will be together after 44 minutes, while A, and C are together again after 32 minutes.
Now, LCM of 44 and 32 is 352.
So, A, B, and C will be first together again after 352 minutes.

9) In a game of billiards, A can give B 12 points in a game of 60 points and A can give C 10 points in a game of 90 points. How many points can C give B in a game of 70?

1. 73 points
2. 63 points
3. 80 points
4. None of these.

Explanation:

If A scores 60 points, B scores 48 points.
Also, if A scores 90 points, C scores 80 points.
A: B = 60:48 and A: C = 90:80
B: C = (A/C) * (B/A)
= (90/80) * (48 /60) = 9/10
When C scores 10 points B scores 9 points.
So, When C scores 70 points B scores = (9/10) * 70 = 63 points

10) In a 100 m race, A covers the distance in 36 seconds and B covers in 45 seconds. In this race, A beats B by

1. 20 m
2. 25 m
3. 22.5 m
4. 9 m

Explanation:

Speed of B = Distance / time
= 100 / 45 = 20 /9 m/s
Distance = speed * time
Distance covered by B in (45 - 36) = 9 seconds: ∴ A beats B by 20 meters.

Solution 2:

Distance covered by B in 45 seconds = 100 meters
Distance covered by B in 9 seconds = (100/45) * 9 = 20 meters
So, when A covers 100 meters in 36 seconds, B was 20 meters away from the winning post. Thus, A beats B by 20 meters.

Races and Games Aptitude Test Paper 1
Races and Games Aptitude Test Paper 3
Races and Games Concepts

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