Race and Games aptitude sums with solution

Ads

Introduction:

Race and games aptitude sums are given in this blog for the candidates who are preparing for the competitive exams and for the interviews. Below we have given race and game sums with formulas. Learning race and game sums is useful to improve your skills as well. Start learning through Nithra Jobs and get a job in your preferred location in Tamil Nadu.

Formulas:

Races:

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

Race Course:

The ground or path on which contests are made is called a race course.

Starting Point:

The point from which a race begins 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, the race is said to be 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 100 race, 'A can give B 12 m' or 'A can give B a start of 12 m' or 'A beats B by 12 m' means that while A runs 100 m, B runs (100 - 12) = 88 m.

Games:

'A game of 100 m, 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'.

Solved Problems

1. A can run 20 metres while B runs 25 metres. In a km race B beats A by?

Answer: 200 m

Explanation:

Given data,

When B runs 25 m, A runs 20 m

When B runs 1000 m, A runs ( 20 / 25 ) × 1000 m = 800 m

B beats A by ( 1000 - 800 )

= 200

👉 B beats A by 200 m.

2. In a km race A can beat B by 150 m and B can beat C by 80 m. In the same race A can beat C by?

Answer: 218 m

Explanation:

Given data,

A can beat B by 150 m in 1000 m race,

Then, A : B = 1000 : ( 1000 - 150 )

= 100 : 85

B can beat C by 80 m in 1000 m race,

Then, B : C = 1000 : ( 1000 - 80 )

= 100 : 92

A : C = [ ( A / B ) × ( B / C ) ]

= ( 100 / 85 ) × ( 100 / 92 )

= 10000 / 7820

= 1000 / 782

A beats C by ( 1000 - 782 ) m

= 218 m

👉 A beats C by 218 m.

3. In a game A can give B 30 points in 60 and C 15 points in 90. How many points can C give B in a game of 150?

Answer: 50 points

Explanation:

A can give C 15 points in 90

While A scores 90 points, C scores ( 90 - 15 ) = 75 points

While A scores ( 90 / 75 ) points, C scores 1 point

While A scores ( 90 / 75 ) × 150 = 180 points, C scores 150 points

A can give B 30 points in 60

While A scores 60 points, B scores ( 60 - 30 ) = 30 points

While A scores 1 point, B scores 30 / 60 = 1 / 2 points

While A scores 180 points, B scores ( 1 / 2 ) × 180 = 90 points

While C scores 150 points, B scores 100 points

Hence, in a 150 race, C can give B ( 150 -100 ) = 50 points

👉 C give B 50 points in a game of 150.

4. In one km race A beats B by 6 seconds or 60 metres. How long does B take to run the kilometre?

Answer: 100 seconds

Explanation:

Given data,

A beats B by 6 seconds or 60 metres

This means, B takes 6 seconds to run 60 metres

B takes 6 / 60 = 1 / 10 seconds to run 1 metre

B takes ( 1 / 10 ) × 1000 = 100 seconds to run 1000 metre

👉 B takes 100 seconds to run the kilometre.

5. In a 100 m race, A can beat B by 24 m and B can beat C by 6 m. In the same race, A can beat C by?

Answer: 28.56 m

Explanation:

Given data,

A can give B 24 points in 100

Then, A : B = 100 : ( 100 - 24 )

= 100 : 76

B can give C to 6 points in 100,

Then, B : C = 100 : ( 100 - 6 )

= 100 : 94

A : C = [ ( A / B ) × ( B / C ) ]

= ( 100 / 76 ) × ( 100 / 94 )

= 10000 / 7144

= 100 / 71.44

A beats C = ( 100 - 71.44 ) m

= 28.56 m

👉 A beats C by 28.56 m.

Conclusion

Race & Games solved sums are listed above. Clear your doubts about Nithra Jobs. The complete career guidance for college students and candidates preparing for competitive exams and jobs. Race and games example sums were also listed on the Nithra Jobs site. Get daily job notifications on Nithra Jobs app.