Cheat Sheets

Races and Games

Quantitative Aptitude Study Mode

Races and Games

📋 Quick-reference guides with key formulas and must-know concepts. Perfect for daily practice, last-minute revision, and on-the-go learning.

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Study Material

Races and Games Cheat Sheet

Races and Games is one of the most important logical and arithmetic topics in Quantitative Aptitude and is frequently asked in SSC, Banking, Railway, UPSC, Defence, Insurance, and other competitive examinations.

This cheat sheet helps candidates understand race concepts, speed and distance relations, head start problems, circular race calculations, game scoring methods, and shortcut techniques for solving races and games questions quickly and accurately in exams.


About This Cheat Sheet

Complete guide to Races and Games for competitive exams:

Basic Race Concepts

  • Distance, Speed & Time
  • Winner & Loser
  • Race Conditions
  • Performance Comparison

Beating by Distance

  • Winner Beats by Meters
  • Distance Remaining Concept
  • Speed Ratio Problems
  • Race Course Calculations

Beating by Time

  • Winner Beats by Seconds
  • Time Difference Problems
  • Speed Calculations
  • Winner-Loser Analysis

Head Start Problems

Race problems involving distance allowance and starting advantages.

Circular Races

  • Lapping Problems
  • Meeting Point Problems
  • Number of Rounds
  • Relative Speed Concepts

Games Concepts

  • Points & Goals
  • Winning Percentage
  • Target Based Games
  • Game Performance Problems

Special Game Problems

  • Cricket Problems
  • Tennis & Snooker
  • Card & Poker Games
  • Dead Heat Situations

Shortcut Tricks

Fast solving methods, race shortcuts, and exam-oriented arithmetic techniques.


Topics Covered

Topic Description
Race Concepts Basic relation of speed, distance, and time
Winner & Loser Comparing race performances
Beating by Distance Winning margin measured in meters
Beating by Time Winning margin measured in seconds
Speed Ratio Ratio of speeds from race conditions
Race Course Length Finding total distance of race
Head Start Problems Race with distance allowance
Time Allowance Problems Race with time advantage
Circular Races Lapping and meeting point problems
Dead Heat Situations where competitors finish together
Games Problems Points and target based calculations
Winning Percentage Success ratio in games
Card & Poker Games Game based logical problems
Shortcut Tricks Fast solving methods for exams

Why This Cheat Sheet is Important

Understand Race & Game Concepts

↓

Improve Logical Thinking

↓

Apply Shortcut Techniques

↓

Solve Race Problems Faster

↓

Score Better in Exams


Competitive Exams Covered

  • SSC CGL
  • SSC CHSL
  • Bank PO & Clerk
  • Railway Exams
  • UPSC CSAT
  • Defence Exams
  • Insurance Exams
  • State Government Exams
  • MBA Entrance Exams

Quick Examples

Example 1:

A beats B by 20 meters in a 100 meter race. When A finishes the race, how much distance does B cover?


B covers:

100 − 20 = 80 meters

Example 2:

A beats B by 5 seconds. If A takes 25 seconds to finish the race, find B’s time.


B's Time =

25 + 5

= 30 seconds

Example 3:

The speeds of A and B are in the ratio 5:4. Find the ratio of time taken by them to cover the same distance.


Time ratio is inverse of speed ratio.

Required ratio =

4 : 5

Example 4:

Two runners run around a circular track in 30 seconds and 45 seconds respectively. After how much time will they meet again at the starting point?


Required time =

LCM of 30 and 45

= 90 seconds

Example 5:

A player wins 70% of 50 games. How many games does the player win?


Winning games =

70% of 50

= 35 games


Final Takeaway

This Races and Games Cheat Sheet provides complete revision material for all major concepts frequently asked in competitive examinations. Regular practice of race conditions, speed ratio problems, circular races, games calculations, and shortcut techniques can significantly improve speed, accuracy, and logical problem-solving ability.

It is highly useful for quick revision before exams and helps candidates strengthen the foundation of Quantitative Aptitude and Logical Reasoning.


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