Finding Average of Numbers

• Average of Divisible Numbers
• Finding Sixth Number
• Finding Middle Number
• Consecutive Even Numbers

Average Across Multiple Groups

• Age Groups Average
• Multiple Classes Average
• Two Batches Average Weight
• Three Batches Average Marks

Average After Adding or Replacing Entry

• Baby Age Calculation
• New Student Joining
• Teacher Age Inclusion
• Student Replacement

Average When Entry is Incorrect

• Wrong Entry Decreases Average
• Multiple Wrong Entries
• Wrong Entry Increases Average
• Wrong Observation Correction

Calculating Average Speed

• Round Trip Average Speed
• Train Stoppage Time
• Different Speeds Different Distances
• Average Speed Time Constraint

Cricket Scores and Innings Average

• Team Average With New Player
• Bowler Average After Wickets
• Batsman Average After Inning
• Team Batting Average Comparison

Relative Speed in Same or Opposite Directions

• Meeting Time with Different Start Times
• Relative Speed in Same Direction
• Relative Speed in Opposite Direction
• Overtaking Time Calculation

Finding Time, Speed, or Distance

• Time Calculation from Distance and Speed
• Speed Calculation from Distance and Time
• Distance Calculation from Speed and Time
• Mixed Units Conversion

Speed When Moving in Opposite Directions

• Finding Speed After Meeting
• Ratio of Speeds After Crossing
• Time to Meet When Moving in Opposite Directions
• Speed Calculation with Post-Meeting Times

Average Speed with Variable Speeds

• Average Speed with Equal Distance Segments
• Average Speed with Different Time Segments
• Average Speed for Half Journey at Different Speeds
• Average Speed for Three Equal Distance Segments

Work Completion by Groups

• Men, Days, Hours, and Work Variation
• Men and Boys Combined Work
• Variable Working Hours Problem
• Multiple Variables Work Problem

Combined Work Efficiency

• Three Workers Combined Efficiency
• Two Workers Combined Efficiency
• Combined Work with Different Efficiencies
• Four Workers Combined Efficiency

Finding Individual Worker Time

• Finding Individual Time from Combined Work
• Finding Combined Time from Multiple Combinations
• Individual Time from Two Combinations
• Multiple Worker Combinations Analysis

Workers with Different Efficiency Levels

• Combined Time with Efficiency Ratio and Time Difference
• Individual Time with Efficiency and Combined Time
• Three Times Efficient Worker
• Half Efficient Worker Problem

HCF and LCM of Composite Numbers

• Finding HCF of Two Numbers
• Finding HCF of Three Numbers
• Finding LCM of Multiple Numbers
• Largest n-Digit Number Divisible by Given Numbers

HCF and LCM of Decimals and Fractions

• Finding LCM of Decimal Numbers
• Finding HCF of Decimal Numbers
• Finding HCF of Fractions
• Finding LCM of Fractions

Finding Numbers from HCF and LCM

• Finding Sum from HCF and LCM
• Finding Numbers from HCF and Ratio
• Finding Number from Product and HCF
• Finding Numbers from Product of HCF and LCM

Real-World HCF and LCM Applications

• Traffic Lights Synchronization
• Paving with Square Tiles
• Bells Tolling Together
• Circular Track Meeting Point

Numbers with Specific Remainders

• Greatest Number Leaving Specific Remainders
• Least Number Leaving Same Remainder
• Number with Different Remainder Conditions
• Least Number with Mixed Remainder Pattern

Train Crossing Person Moving Opposite

• Time to Cross Person Running Opposite
• Finding Train Length Using Relative Speed
• Train Crossing Runner in Opposite Direction
• Finding Person Speed from Relative Speed

Train Crossing a Platform

• Time to Cross Platform
• Finding Train and Platform Length
• Finding Platform Length
• Time Comparison for Different Platforms

Train Crossing a Stationary Object

• Time to Cross Stationary Object
• Finding Length of Train
• Time to Pass a Pole
• Train Length from Speed and Time

Train Crossing Person Moving Same Direction

• Time to Cross Boy Running Same Direction
• Time to Pass Person Walking Ahead
• Train Overtaking Cyclist
• Finding Person Speed in Same Direction

Two Trains Moving in Opposite Directions

• Two Trains Crossing in Opposite Directions
• Finding Speed of Second Train
• Time for Two Trains to Cross
• Finding Length of Second Train

Two Trains Moving in Same Direction

• Time for Faster Train to Cross Slower Train
• Finding Length of Faster Train
• Time for Train to Overtake Another
• Finding Length of Slower Train

Calculating Present Age

• Present Age from Future and Past Relationship
• Present Age with Elder/Younger Relationship
• Simple Present Age Calculation
• Age Ratio Problem

Ages in Ratio Form

• Age Ratio Changing Over Time
• Finding Ratio of Present Ages
• Past and Future Age Ratio
• Simple Age Ratio Problem

Age Before Given Years

• Finding Years When Ratio Was Different
• Complex Ratio with Past and Future
• When Ages Were in Specific Ratio
• Past Ratio Calculation

Age After Given Years

• Age After x Years Using Past Relationship
• Multiple Time Period Calculations
• Simple Future Age Calculation
• Future Age from Present Ratio

Finding Profit, Loss, and Prices

• Finding Profit from Gain Percentage
• Finding Cost Price from Loss Percentage
• Cost Price and New Selling Price
• Gain Percentage from SP Relationship

Discounts and Successive Calculations

• Finding First Discount in Successive Discounts
• Single Equivalent Discount
• Actual Profit with Markup and Discount
• Successive Profit Margins

Profit When CP of X = SP of Y

• Gain Percentage When SP of X = CP of Y
• Loss Percentage When SP of X = CP of Y
• Gain from SP and CP Relationship
• Loss from SP and CP Relationship

Calculating Shopkeeper Loss

• Finding Cost with Overall Gain
• Same Percentage Gain and Loss
• Overall Gain/Loss with Different Items
• Simple Two-Item Transaction

Profit Using False Weights

• Gain from Using Less Weight
• False Weight with Markup Profit
• Finding False Weight from Gain Percentage
• Simple False Weight Gain

Direct Permutation Problems

• Basic Permutation Calculation
• Arranging Distinct Letters
• Arranging Letters with Repetition
• Arranging with Vowels Together Constraint

Direct Combination Problems

• Simple Combination Selection
• Basic Combination Calculation
• Combination with Arrangement
• Combination with At Least Condition

Basic Proportion Problems

• Finding Combined Ratio from Chain
• Ratio of Ratios
• Simple Proportion Problem
• Fourth Proportional

Division Using Ratios

• Finding Total from Fractional Ratio Distribution
• Dividing Amount in Fractional Ratio
• Simple Division in Whole Number Ratio
• Distribution with Mixed Ratios

Income, Expenditure, and Salary

• Income, Expenditure and Savings Problem
• Daily Wages from Total Earnings
• Settlement of Accounts in Proportion
• Salary Increase with Ratio Change

Coins and Their Values

• Equal Number of Different Valued Coins
• Finding Coins from Value Ratio
• Finding Coins from Total Value
• Three Types of Coins Problem

Mixture and Alligation

• Mixing Two Mixtures
• Replacement in Mixture
• Addition to Mixture Changing Ratio
• Finding Quantity to Add

• Folded Rectangular Sheet Problem
• Area from Diagonal and Perimeter
• Percentage Change to Maintain Area
• Diagonal of Square from Area Relationship
• Ratio of Square and Rhombus Areas

Calculating Simple Interest

• Simple Interest with Fractional Rate
• Simple Interest for Date Period
• Gain from Lending at Higher Rate
• Basic Simple Interest Calculation

Compound Interest Calculations

• CI Compounded Quarterly
• CI Compounded Half-Yearly
• CI Compounded Annually
• Basic CI Annually

Finding Rate of Interest

• Simple Rate Calculation
• Rate from Principal and Amount
• Rate for Doubling Money
• Rate When Time Equals Rate

Finding Principal or Amount

• Principal with Varying Interest Rates
• Principal from Rate Difference
• Principal from Difference in SI
• Basic Principal Calculation

Population Growth Problems

• Population with Increase and Decrease
• Depreciation - Finding Original Value
• Population Growth Over Years
• Depreciation Over Time

Finding Rate or Time Period

• Finding Rate from Amount
• Finding Principal from Consecutive Amounts
• Finding Years for Multiple Growth
• Finding Time for Specific Amount

Difference Between CI and SI

• Finding Sum from CI-SI Difference
• Finding Rate from CI-SI Difference
• Finding SI from CI
• Basic CI-SI Difference

Probability with Indirect Statements

• Probability with At Least Condition
• Probability with Multiples
• Probability with Cards
• Independent Events Probability

Probability from Indirect Values

• Probability from Odds
• Probability of Complementary Event
• At Least One Using Complement
• Either Event Probability

Multiple Pipes Filling Together

• Two Filling Pipes Together
• Filling and Emptying Pipes Together
• Three Filling Pipes Together
• One Filling One Emptying

Tank Capacity with Outlet Pipes

• Finding Capacity with Waste Pipe
• Finding Filling Capacity with Time Difference
• Simple Capacity Calculation
• Capacity with Multiple Pipes and Rates

Emptying Tank with Leakage

• Simple Leak Problem
• Leak Time from Filling Delay
• Leak Time with Two Filling Pipes
• Leak with Percentage Delay

Pipes with Different Speeds

• Finding Slower Pipe Time
• Alternate Hour Opening
• Pipe Times When One is Multiple of Other
• Alternate Opening with Three Pipes

Pipes Opened and Closed Alternately

• Outlet Pipe Closed After Certain Time
• One Pipe Turned Off After Time
• Outlet Opened After Certain Time
• Multiple Pipes with Staggered Closing

• Finding Rate from True Discount
• Finding Amount from SI and TD
• Settlement with True Discount
• Gain Calculation with Credit Period
• Deferred Payment Comparison

• Odd Days Calculation
• Angle Between Clock Hands
• Reflex Angle Between Hands
• Frequency of Right Angles
• Clock Gaining Time
• Day of Week for Specific Date
• Day After Certain Days
• Leap Year Identification

• Shadow Length from Angle of Elevation
• Distance from Angle of Elevation
• Distance Between Objects from Depression Angles
• Speed from Changing Angles
• Time to Reach from Angle Change
• Height from Elevation and Depression Angles

• Mass from Volume Displacement
• Product of Adjacent Face Areas
• Number of Smaller Cubes
• Ratio of Cylinder to Cone Volumes

• Number from Percentage Reduction
• Ratio from Percentage Conditions
• Number from Percentage Comparison
• Two Numbers with Percentage Relationship