Quantitative Aptitude for Placements Certification

Module 1: Introduction to Quantitative Aptitude

• Quantitative aptitude fundamentals
• Common question types
• Mathematical reasoning
• Problem-solving approach
• Speed and accuracy
• Time management

Module 2: Number System

• Natural numbers
• Whole numbers
• Integers
• Rational numbers
• Irrational numbers
• Number properties

Module 3: Divisibility Rules

• Divisibility tests
• Factors
• Multiples
• Prime numbers
• Composite numbers
• Factorisation

Module 4: HCF & LCM

• HCF concepts
• LCM concepts
• Prime factorisation
• Division method
• Relationship between HCF and LCM
• Application problems

Module 5: Simplification

• BODMAS
• Fractions
• Decimals
• Surds
• Indices
• Simplification techniques

Module 6: Approximation & Calculation Techniques

• Rounding
• Estimation
• Approximate multiplication
• Approximate division
• Square calculations
• Mental mathematics

Module 7: Percentage

• Percentage fundamentals
• Fraction-percentage conversion
• Percentage increase
• Percentage decrease
• Successive changes
• Percentage applications

Module 8: Ratio & Proportion

• Ratio concepts
• Proportion
• Equivalent ratios
• Compound ratios
• Direct proportion
• Inverse proportion

Module 9: Average

• Simple average
• Combined average
• Weighted average
• Missing values
• Average changes
• Application problems

Module 10: Profit & Loss

• Cost price
• Selling price
• Profit
• Loss
• Profit percentage
• Loss percentage

Module 11: Discount & Marked Price

• Marked price
• Discount
• Successive discounts
• Selling price
• Profit with discount
• Retail-based problems

Module 12: Simple Interest

• Principal
• Rate
• Time
• Interest calculation
• Amount
• Application problems

Module 13: Compound Interest

• Compound interest concepts
• Annual compounding
• Half-yearly compounding
• Amount calculation
• Growth
• SI and CI comparison

Module 14: Partnership

• Investment
• Time periods
• Profit sharing
• Capital ratios
• Changing investments
• Partnership problems

Module 15: Mixture & Alligation

• Mixture concepts
• Alligation rule
• Quantity ratios
• Concentration
• Replacement
• Application problems

Module 16: Time & Work

• Work concepts
• Efficiency
• Individual work
• Combined work
• Work ratios
• Wages

Module 17: Pipes & Cisterns

• Filling pipes
• Emptying pipes
• Combined pipes
• Leakage
• Efficiency
• Time calculations

Module 18: Time, Speed & Distance

• Distance
• Speed
• Time
• Unit conversion
• Relative speed
• Average speed

Module 19: Trains

• Train length
• Crossing poles
• Crossing platforms
• Crossing trains
• Relative speed
• Train-based calculations

Module 20: Boats & Streams

• Upstream
• Downstream
• Speed in still water
• Stream speed
• Travel time
• Application problems

Module 21: Problems on Ages

• Present age
• Past age
• Future age
• Age ratios
• Average age
• Family age problems

Module 22: Algebra Fundamentals

• Algebraic expressions
• Variables
• Linear equations
• Simultaneous equations
• Algebraic identities
• Equation solving

Module 23: Quadratic Equations

• Quadratic expressions
• Factorisation
• Roots
• Root comparison
• Equation formation
• Problem-solving

Module 24: Progressions

• Sequences
• Arithmetic progression
• Geometric progression
• Common difference
• Common ratio
• Sum of terms

Module 25: Geometry Fundamentals

• Lines and angles
• Triangles
• Quadrilaterals
• Polygons
• Circles
• Geometrical properties

Module 26: Mensuration – 2D

• Square
• Rectangle
• Triangle
• Circle
• Perimeter
• Area

Module 27: Mensuration – 3D

• Cube
• Cuboid
• Cylinder
• Cone
• Sphere
• Volume and surface area

Module 28: Permutation

• Fundamental counting principle
• Arrangement
• Factorials
• Linear arrangements
• Restricted arrangements
• Permutation problems

Module 29: Combination

• Selection concepts
• Combination formula
• Groups
• Committees
• Selection restrictions
• Combination problems

Module 30: Probability

• Probability fundamentals
• Events
• Sample space
• Favourable outcomes
• Independent events
• Basic probability problems

Module 31: Data Interpretation

• Tables
• Bar graphs
• Line graphs
• Pie charts
• Data comparison
• Basic calculations

Module 32: Advanced Data Interpretation

• Mixed graphs
• Caselets
• Missing data
• Percentage-based DI
• Ratio-based DI
• Multi-step calculations

Module 33: Data Sufficiency

• Statement analysis
• Required information
• Sufficient data
• Insufficient data
• Multiple statements
• Decision techniques

Module 34: Quantitative Comparison

• Comparing quantities
• Approximation
• Algebraic comparison
• Percentage comparison
• Ratio comparison
• Elimination techniques

Module 35: Placement-Based Quantitative Problems

• Business scenarios
• Workforce calculations
• Productivity problems
• Revenue calculations
• Growth calculations
• Workplace numerical problems

Module 36: Quantitative Problem-Solving Strategies

• Question selection
• Shortcut methods
• Back-solving
• Option elimination
• Approximation
• Time allocation

Module 37: Speed & Accuracy Practice

• Mental calculations
• Timed questions
• Calculation shortcuts
• Error identification
• Accuracy tracking
• Performance improvement

Module 38: Comprehensive Quantitative Practice

• Arithmetic problems
• Algebra problems
• Geometry problems
• Probability questions
• Data interpretation
• Mixed aptitude practice