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:

18 m
20 m
27 m
9 m

Answer: B

Explanation:

A: B = 100: 90
And A: C = 100: 72
Races and Games
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 Races and Games 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?

200 m.
300 m.
270 m.
160 m.

Answer: A

Explanation:

The Ratio of the speed of A and B Races and Games
= 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 Races and Games km round. If their speeds are in the ratio of 5: 4, how often does the winner pass the other?

Once.
Twice.
Thrice.
None of these.

Answer: C

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?

Answer: C

Explanation:

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