Tips and Tricks: Races and Games

# Races and Games Tips and Tricks for Government Exams

 Table of contents Races and Games Important Terms TIPS to Crack Questions Tip 1 Tip 2 Tip 3

Races and games in government exams test quantitative skills, requiring candidates to apply mathematical concepts such as speed, distance, and time. They evaluate analytical thinking and decision-making abilities, essential for data analysis and logistical tasks in government roles.

## Races and Games

A race or a games of skill includes the contestants in a contest and their skill in the concerned contest/game.

## Important Terms

• 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 exact point/place from where a race begins, is called starting point.
• Finishing Point: The exact point/place where a race ends, is known as finishing point
• Winning Point or Goal: A person who reaches the finishing point first, is called the winner.
• Note: For a winner, finishing point is as same as the winning point/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, 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'.

## Tip 1

Acquaint yourself with the terms
• Dead Heat Race: A race in which all the contestants reach the Goal at the same time.
• Start: If A and B are two contestants in a race, such that before the start of the race, A is at the starting point and B is ahead of A by 12 meters, then we say that ‘A gives B a start of 12 meters’.
• Game: 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’. This implies that if A actually gave B a start of 20 points, then the contest would result in a dead heat.

## Tip 2

Assume that the speed or the scoring rate for each player is constant

Q1: In a game of 100 points, A can give B 20 points and C 28 points. How many points can B give C?
Sol:
By the time A scores 100 points, B scores only 80 and C scores only 72 points.
Let the Scoring Rate of A be Sa. (Scoring Rate = score/ time)
Scoring Rate of B, Sb = 80/100 x Sa = 0.8 Sa
Scoring Rate of C, Sc = 72/100 x Sa = 0.72 Sa
Time taken for B to get 100 points = 100/Sb = 100/ (0.8 x Sa)
Score taken by C in this time period = Sc x 100/ (0.8 x Sa) = 72/0.8 = 90
Thus, B can give C 10 points.

Q2: In a 200 m race A beats B by 35 m or 7 sec. Find A's time over the course.
Sol:
By the time A completes the race, B is 35m behind A and would take 7 more seconds to complete the race.
⇒ B can run 35 m in 7 s. Thus, B’s speed = 35 / 7 = 5 m/s.
Time taken by B to finish the race = 200 / 5 = 40 s.
Thus, A’s time over the course = (40 – 7)s = 33 s.

## Tip 3

If A runs x times faster than B, A’s speed is actually 1+x the speed of B

Q1: 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 at the same time?
Sol:
Speed of A, Sa = 5/3 x Sb
Let the distance of the course be ‘d’ meters
Time taken by A to cover distance ‘d’ = Time taken by B to cover distance‘d-80’
d/[5/3 x Sb] = (d-80)/Sb
3d = 5d – 400
⇒ 2d = 640 ⇒ d = 200m

Q2: A runs 1? times faster than 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 at the same time?
Sol:
Speed of A, Sa = (1 + 5/3) x Sb = 8/3 x Sb
Let the distance of the course be ‘d’ meters
Time taken by A to cover distance ‘d’ = Time taken by B to cover distance ‘d-80’
d/[8/3 x Sb] = (d-80)/Sb
3d = 8d – 640
⇒  5d = 640 ⇒ d = 128m

Note: Here, A 5/3 times faster than B, i.e., A’s speed = B’s speed + 5/3 times B’s speed = 8/3 times B’s speed.

The document Races and Games Tips and Tricks for Government Exams is a part of the SSC CGL Course Quantitative Aptitude for SSC CGL.
All you need of SSC CGL at this link: SSC CGL

## Quantitative Aptitude for SSC CGL

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## FAQs on Races and Games Tips and Tricks for Government Exams

 1. What are races and games in the context of aptitude questions?
Ans. Races and games in aptitude questions refer to problems that involve determining the order or ranking of individuals participating in a race or game based on given conditions.
 2. What are some important terms related to races and games in aptitude questions?
Ans. Some important terms related to races and games in aptitude questions include: - Position: The order in which individuals finish the race or game. - Rank: The numerical value assigned to each position. - Winner: The individual who finishes first. - Runner-up: The individual who finishes second. - Participant: Any individual taking part in the race or game. - Conditions: The given information or constraints that help determine the order or ranking of participants.
 3. What are some tips for solving aptitude questions on races and games?
Ans. Here are some tips for solving aptitude questions on races and games: 1. Read the given conditions carefully: Understand the information provided about the participants, their positions, and any constraints given. 2. Draw a diagram or table: Visualize the race or game by creating a diagram or table to keep track of the positions and ranks of participants. 3. Start with the known information: Use any given positions or ranks to establish a starting point for solving the problem. 4. Analyze the conditions: Analyze the conditions given to determine any relationships or dependencies between participants. 5. Use logic and deduction: Apply logical reasoning and deduction skills to determine the order or ranking of participants based on the given conditions.
 4. What are some common types of questions on races and games in aptitude exams?
Ans. Some common types of questions on races and games in aptitude exams include: - Finding the winner or runner-up based on given conditions. - Determining the position or rank of a particular participant. - Establishing the order or ranking of participants based on given conditions. - Solving problems involving multiple rounds or stages of a race or game.
 5. How can I improve my problem-solving skills for races and games in aptitude exams?
Ans. To improve your problem-solving skills for races and games in aptitude exams, you can: - Practice solving a variety of race and game-related problems to familiarize yourself with different scenarios and conditions. - Develop a systematic approach by breaking down the problem into smaller steps and organizing the given information. - Learn from solved examples and study materials to understand different strategies and techniques for solving such problems. - Enhance your logical reasoning and deduction skills through regular practice and critical thinking exercises. - Time yourself while solving practice questions to improve your speed and efficiency in solving these types of problems.

## Quantitative Aptitude for SSC CGL

314 videos|170 docs|185 tests

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