# Races and Games Questions

FACTS  AND  FORMULAE  FOR  RACES  AND  GAMES  QUESTIONS

1. Races : A contest of speed in running, riding, driving, sailing or rowing is called a race.

Race Course : The ground or path on which contents are made is called a race course.

Starting Point : The point from which a race beigns is known as a starting point.

Winning Point or Goal : The point set to bound a race is called a winning point or a Goal.

Winner : The person who first reaches the winning point is called a winner.

Dead Heat Race : If all the persons contesting a race reach the goal exactly at the same time, then the race is said to be a dead heat race.

Start : Suppose A and B are two contestants in a race. If before the start of the race, A is at  the starting point and B is ahead of A by 12 metres, then we say that 'A gives B, a start of 12 metres'.

To cover, a race of 100 metres in this case, A will have to cover 100 metres while B will have to cover only (100 - 12) = 88 metres.

In a 100m race, 'A can give B 12m' or 'A can give B a start of 12m' or 'A beats B by 12m' means that while A runs 100m, B runs (100-12)=88m

2. Games : A game of 100, means that the person among the contestants who scores 100 points first is the winner?

If A scores 100 points while B scores only 80 points, then we say that 'A can give B 20 points'.

Q:

In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m ?

 A) 127.5 m B) 254 m C) 184 m D) 212 m

Explanation:

When A runs 1000 m, B runs 900 m and when B runs 800 m, C runs 700 m.

When B runs 900 m, distance that C runs = (900 x 700)/800 = 6300/8 = 787.5 m.

In a race of 1000 m, A beats C by (1000 - 787.5) = 212.5 m to C.

In a race of 600 m, the number of meters by which A beats C

= (600 x 212.5)/1000 = 127.5 m.

42 8233
Q:

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) 28m D) 29m

Explanation:

A : B = 100 : 75

B : C = 100 : 96.

A : C = (A/B*B/C) = (100/75*100/96) = 100/72  =100:72

A beats C by (100 - 72) m = 28 m.

28 7645
Q:

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

Explanation:

3 5888
Q:

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

 A) 20 m B) 25 m C) 22.5 m D) 9 m

Explanation:

1 5569
Q:

In a game of 100 points, A can give B 20 points and C 28 points. Then, B can give C:

 A) 8 points B) 10 points C) 14points D) 40points

Explanation:

A : B = 100 : 80.

A : C = 100 : 72.

B:C = B/A*A/C = 80/10*100/72 = 10/9 = 100/90 = 100:90

B can give C 10 points

16 5302
Q:

A can run 22.5 m while B runs 25 m. In a kilometre race B beats A by

 A) 100 m B) 111m C) 25 m D) 50 m

Explanation:

3 5020
Q:

In a 200 metres race A beats B by 35 m or 7 seconds. A's time over the course is:

 A) 40 sec B) 47 sec C) 33 sec D) None of these

Explanation:

B runs 35 m in 7 sec.

B covers 200 m in (7/35*200) = 40sec

B's time over the course = 40 sec.

A's time over the course (40 - 7) sec = 33 sec.

3 4140
Q:

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