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Mathematics

Arithmetic Aptitude

Complete Arithmetic Aptitude course covering Numbers, Problems on Numbers, HCF & LCM, Decimal Fraction, Simplification, Square Root & Cube Root, Surds & Indices, Logarithm, Percentage, Ratio and Proportion, Chain Rule, Average, Partnership, Alligation, Time and Distance, Trains, Boats and Streams, …

  • 6 Months Duration
  • 35 Modules
  • Paid Access
Course fee ₹2500.00

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Learning path

Course Modules

Work through each module and pass quizzes to unlock the next step in your journey.

Module 1 Locked

Numbers

Natural, whole, integers; even & odd; prime & composite; divisibility rules; factors & multiples. Skills: number logic, factorization speed, basic number manipulation.

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Learning objectives
  • Understand natural, whole, integers
  • Identify even & odd, prime & composite numbers
  • Apply divisibility rules
  • Work with factors & multiples
  • Develop number logic and factorization speed
Module 2 Locked

Problems on Numbers

Digit-based problems, remainder concepts, cyclicity, unit digit problems, number formation.

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Learning objectives
  • Solve digit-based problems
  • Apply remainder concepts
  • Use cyclicity
  • Solve unit digit problems
  • Handle number formation
Module 3 Locked

Problems on H.C.F and L.C.M

Prime factorization and division methods, applications in word problems, LCM in recurring events, HCF in grouping.

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Learning objectives
  • Apply prime factorization method
  • Use division method
  • Solve word problems with LCM/HCF
  • Apply LCM in recurring events
  • Apply HCF in grouping problems
Module 4 Locked

Decimal Fraction

Decimal operations, fraction–decimal conversion, recurring decimals, word problems.

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Learning objectives
  • Perform decimal operations
  • Convert between fraction and decimal
  • Handle recurring decimals
  • Solve word problems
Module 5 Locked

Simplification

BODMAS rule, fraction and percentage simplification, approximation methods, shortcut calculations.

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Learning objectives
  • Apply BODMAS rule
  • Simplify fractions and percentages
  • Use approximation methods
  • Apply shortcut calculations
Module 6 Locked

Square Root and Cube Root

Prime factor and long division methods, approximation, perfect squares & cubes recognition.

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Learning objectives
  • Use prime factor method
  • Apply long division method
  • Use approximation
  • Recognize perfect squares & cubes
Module 7 Locked

Surds and Indices

Laws of exponents, rationalization, simplifying surds, fractional powers.

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Learning objectives
  • Apply laws of exponents
  • Rationalize expressions
  • Simplify surds
  • Work with fractional powers
Module 8 Locked

Logarithm

Laws of logarithms, change of base, solving logarithmic equations, simplification problems.

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Learning objectives
  • Apply laws of logarithms
  • Use change of base
  • Solve logarithmic equations
  • Simplify using logarithms
Module 9 Locked

Percentage

Basic percentage, increase & decrease, successive percentage, reverse percentage, real-life applications.

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Learning objectives
  • Calculate basic percentage
  • Handle increase & decrease
  • Apply successive percentage
  • Apply reverse percentage
  • Solve real-life applications
Module 10 Locked

Ratio and Proportion

Basic ratio, proportion equations, continued proportion, comparison problems.

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Learning objectives
  • Understand basic ratio
  • Solve proportion equations
  • Apply continued proportion
  • Solve comparison problems
Module 11 Locked

Chain Rule

Direct and inverse proportion, work-rate applications.

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Learning objectives
  • Apply direct proportion
  • Apply inverse proportion
  • Solve work-rate applications
Module 12 Locked

Average

Simple average, weighted average, combined average, missing value problems.

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Learning objectives
  • Calculate simple average
  • Apply weighted average
  • Find combined average
  • Solve missing value problems
Module 13 Locked

Partnership

Profit sharing, time-weighted partnership, capital variation problems.

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Learning objectives
  • Apply profit sharing
  • Handle time-weighted partnership
  • Solve capital variation problems
Module 14 Locked

Alligation or Mixture

Alligation rule, replacement problems, weighted mixing, two & three variable mixtures.

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Learning objectives
  • Apply alligation rule
  • Solve replacement problems
  • Handle weighted mixing
  • Solve two & three variable mixtures
Module 15 Locked

Time and Distance

Speed, distance, time relation; relative speed; unit conversions; meeting problems.

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Learning objectives
  • Apply speed-distance-time relation
  • Calculate relative speed
  • Convert units
  • Solve meeting problems
Module 16 Locked

Problems on Trains

Platform crossing, pole crossing, train overtaking, opposite direction problems.

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Learning objectives
  • Solve platform crossing
  • Solve pole crossing
  • Handle train overtaking
  • Solve opposite direction problems
Module 17 Locked

Boats and Streams

Upstream & downstream, effective speed, current calculation.

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Learning objectives
  • Solve upstream & downstream problems
  • Calculate effective speed
  • Find current
Module 18 Locked

Races and Games

Head start, dead heat, relative speed comparison.

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Learning objectives
  • Handle head start problems
  • Solve dead heat problems
  • Compare relative speed
Module 19 Locked

Height and Distance

Trigonometric ratios, angle of elevation and depression, shadow problems.

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Learning objectives
  • Apply trigonometric ratios
  • Use angle of elevation
  • Use angle of depression
  • Solve shadow problems
Module 20 Locked

Time and Work

Work efficiency, LCM method, alternate day work, combined work problems.

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Learning objectives
  • Calculate work efficiency
  • Apply LCM method
  • Solve alternate day work
  • Solve combined work problems
Module 21 Locked

Pipes and Cistern

Filling & emptying, leak problems, efficiency comparison.

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Learning objectives
  • Solve filling & emptying problems
  • Handle leak problems
  • Compare efficiency
Module 22 Locked

Profit and Loss

Cost price & selling price, marked price & discount, successive discount, profit percentage comparison.

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Learning objectives
  • Apply CP & SP
  • Handle marked price & discount
  • Apply successive discount
  • Compare profit percentage
Module 23 Locked

Simple Interest

SI formula, principal calculation, time calculation, real-life problems.

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Learning objectives
  • Apply SI formula
  • Calculate principal and time
  • Solve real-life problems
Module 24 Locked

Compound Interest

CI formula, difference between SI & CI, half-yearly & quarterly compounding, growth problems.

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Learning objectives
  • Apply CI formula
  • Find difference between SI & CI
  • Apply half-yearly & quarterly compounding
  • Solve growth problems
Module 25 Locked

True Discount

Present worth, banker's formula, application-based problems.

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Learning objectives
  • Calculate present worth
  • Apply banker's formula
  • Solve application-based problems
Module 26 Locked

Banker's Discount

Banker's gain, present value, comparison with true discount.

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Learning objectives
  • Calculate banker's gain
  • Find present value
  • Compare with true discount
Module 27 Locked

Stocks and Shares

Face value, market value, dividend calculation, yield problems.

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Learning objectives
  • Understand face value and market value
  • Calculate dividend
  • Solve yield problems
Module 28 Locked

Problems on Ages

Age ratio problems, past & future age, linear age equations.

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Learning objectives
  • Solve age ratio problems
  • Handle past & future age
  • Form and solve linear age equations
Module 29 Locked

Calendar

Leap year logic, odd days method, day calculation.

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Learning objectives
  • Apply leap year logic
  • Use odd days method
  • Calculate day of week
Module 30 Locked

Clock

Angle between hands, coinciding positions, time calculation problems.

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Learning objectives
  • Find angle between hands
  • Determine coinciding positions
  • Solve time calculation problems
Module 31 Locked

Area

Triangles, quadrilaterals, circles, composite figures.

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Learning objectives
  • Calculate area of triangles, quadrilaterals, circles
  • Solve composite figures
Module 32 Locked

Volume and Surface Area

Cube, cuboid, cylinder, cone, sphere, frustum.

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Learning objectives
  • Calculate volume and surface area of cube, cuboid, cylinder, cone, sphere, frustum
Module 33 Locked

Permutation and Combination

nPr, nCr, circular permutations, selection problems.

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Learning objectives
  • Apply nPr and nCr
  • Solve circular permutations
  • Solve selection problems
Module 34 Locked

Probability

Basic probability, complement rule, independent events, conditional probability.

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Learning objectives
  • Apply basic probability
  • Use complement rule
  • Handle independent events
  • Apply conditional probability
Module 35 Locked

Odd Man Out and Series

Number series, alphabet series, pattern detection, missing term.

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Learning objectives
  • Identify number and alphabet series
  • Detect patterns
  • Find missing term
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