# Races and Games Aptitude Test Paper 3

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

1. 18 m
2. 20 m
3. 27 m
4. 9 m

Explanation:

A: B = 100: 90
And A: C = 100: 72 Hence, when B runs 90 m, C runs 72 m.
When B runs 100 m, C runs = 80 m

∴ B can give C a start of 20 m.

12) 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 the same time?

1. 200 m.
2. 300 m.
3. 270 m.
4. 160 m.

Explanation:

The Ratio of the speed of A and B = 5: 3
Thus, in a 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 a race of = ∴ the winning post is 200 m away from the starting point.

13) Two men A and B run a 4 km race on a course of km round. If their speeds are in the ratio of 5: 4, how often does the winner pass the other?

1. Once.
2. Twice.
3. Thrice.
4. None of these.

Explanation:

The speeds of A and B are in the ratios of 5: 4 which means if A runs 5 km, B runs 4 km or if A makes 5 rounds, B makes 4 rounds.

So, A passes B each time it completes 5 rounds or covers a distance = 5 * 1/4 (length of one round) = 5/4 km

Race = 4 km
Now let's find out how many times 5/4 contained in a 4 km race:
4 km / (5/4) = 16/5 = 3.2 times.
Now, 5/4 is contained in a 4 km race 3.2 times.
So, A, the winner, will pass B thrice in this race.

14) In a game of 80 points, A can give B 5 points and can give C 15 points. How many points B can give C in a game of 60?

1. 6
2. 7
3. 8
4. 10

Explanation:

A: B = 80: 75, A: C = 80: 65 60: 52
So, in a game of 60, B can give C 8 points.

15) 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

1. 5.4 m
2. 4.5 m
3. 5 m
4. 6 m

Explanation:

A: B = 100:90, A: C = 100: 87 When B Runs 30 m, C runs 29 m.
When B runs 180 m, C runs = = 174 m

∴ B beats C by
(180 - 174) = 6 m.

Races and Games Aptitude Test Paper 1
Races and Games Aptitude Test Paper 2
Races and Games Concepts    