19 Topics · 193 Patterns · All Difficulty Levels

Master Numerical Ability - Every Topic, Every Pattern

Comprehensive practice across all Numerical Ability topics with AI-adaptive learning. Covers every pattern tested in 100+ competitive exams.

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19 Topics

Complete coverage

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193 Patterns

Every question type

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3 Levels

Easy · Medium · Hard

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100+ Exams

SSC · Banking · Railways & more

SSC CGLSSC CHSLIBPS POSBI PORRB NTPCRBI Grade BLIC AAONIACL AO+ 90 more

🟢 Easy · 8 topics

Foundation Topics

Build your base with straightforward logic and direct patterns.

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10 patterns

Simplification & Approximation

Master Simplification & Approximation patterns

Easy4

Basic BODMAS Rule Fractions Simplification Decimals Simplification Percentage Simplification

Medium3

Square & Cube Based Simplification Approximation with Rounding Off Surds and Indices

Hard3

Mixed Operations (Combined)Equation-Based Simplification Series-Based Approximation

Practice Simplification & Approximation

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10 patterns

Number System

Master Number System patterns

Easy4

Divisibility Rules Even, Odd, Prime, Composite Factors & Multiples (HCF & LCM)Sum of Digits / Digital Root

Medium3

Remainder & Modular Arithmetic (Basic)Cyclicity of Digits (Last Digit Problems)Base System Conversion

Hard3

Remainder Theorems (Euler/Fermat)Highest Power of a Prime in n!Special Properties & Number Puzzles

Practice Number System

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13 patterns

Ratio & Proportion

Master Ratio & Proportion patterns

Easy4

Basic Ratio Simplification Equivalent Ratios (Missing Value)Comparison of Ratios Ratio ↔ Fraction Conversion

Medium3

Dividing a Quantity in Given Ratio Proportion Basics Ratio Increase/Decrease Effect

Hard6

Mixtures & Solutions Investments & Partnerships Ages in ratio form Time, Speed & Distance via Ratio Mean Proportion / Geometric Mean Continued Proportion

Practice Ratio & Proportion

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10 patterns

Percentages

Master Percentages patterns

Easy4

Basic Percentage Conversion Percentage of a Quantity Marks & Exams Profit, Loss & Discount

Medium3

Percentage Increase/Decrease Percentage Comparison Data Interpretation with Percentages

Hard3

Successive Percentage Changes Population Growth/Decay Mixture/Alligation in % Form

Practice Percentages

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10 patterns

Averages

Master Averages patterns

Easy3

Basic Average Calculation Finding Missing Number (Average)Tricky Shifts in Average

Medium3

Effect of Replacement (Average)Effect of Adding/Removing a Member Average of Consecutive Numbers

Hard4

Weighted Average (Combined Groups)Average Speed Age/Average Combined Problems Cricket/Marks Average Problems

Practice Averages

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10 patterns

Ages

Master Ages patterns

Easy4

Age Difference Remains Constant Age in Years Ago or Years Hence Future or Past Age Conditions Present Age Ratio

Medium4

Age Sum Given Average Age Age Change Impact on Average Multiple Generations

Hard2

Conditional Statements in Age Product of Ages or Squared Ages

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10 patterns

Profit & Loss

Master Profit & Loss patterns

Easy3

Basic Profit & Loss %Finding CP or SP Discount on Marked Price (Single Discount)

Medium3

Successive Profit & Loss Successive Discounts Marked Price, Discount & Profit

Hard4

False Weights / Cheat Problems Partnership & Selling Price Adjustments Overall Profit/Loss (Multiple Articles)Special Market Price Problems

Practice Profit & Loss

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10 patterns

Simple Interest

Master Simple Interest patterns

Easy4

Basic SI Calculation Finding Principal (P)Finding Rate (R)Finding Time (T)

Medium3

Comparison of SI & CI Different Time Periods Comparison Equal Installments in SI

Hard3

Partly Paid / Outstanding Amount Successive Borrowing / Lending Effective Rate Problems

Practice Simple Interest

🟡 Medium · 7 topics

Intermediate Topics

Step up the challenge with topics that combine multiple concepts.

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10 patterns

Series & Progression

Master Series & Progression patterns

Easy4

Arithmetic Progression (A.P.) – nth Term Sum of n Terms of Arithmetic Progression (A.P.)Geometric Progression (G.P.) – nth Term Sum of n Terms of Geometric Progression (G.P.)

Medium3

Harmonic Progression (H.P.)Relationship Between A.M., G.M., and H.M.Difference Series (Finding Common Difference or Missing Terms)

Hard3

Special Number Series (Squares, Cubes, Primes, Triangular, etc.)Mixed Series (Combination of A.P. and G.P.)Complex or Logical Series (Pattern-based and Multi-rule Series)

Practice Series & Progression

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10 patterns

Equations

Master Equations patterns

Easy3

Linear Equations in One Variable Linear Equations in Two Variables Word Problems on Linear Equations

Medium3

Fractions & Rational Equations Quadratic Equations (Standard Form)Nature of Roots (Discriminant Method)

Hard4

Relationship Between Roots and Coefficients Forming Equation from Roots Equations with Modulus or Squares Equation-based Word Problems (Advanced)

Practice Equations

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10 patterns

Time and Work

Master Time and Work patterns

Easy4

Basic Work Formula (W = R × T)Combined Work (A + B Together)Efficiency-Based Questions Ratio of Time and Work

Medium3

Fraction of Work Done / Remaining A Starts, B Joins Later Work and Wages Problems

Hard3

Pipes and Cisterns (Inflow–Outflow)Alternate Working Days Partial or Negative Work (Leak or Undo Work)

Practice Time and Work

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10 patterns

Time, Speed and Distance

Master Time, Speed and Distance patterns

Easy4

Basic Formula & Direct Conversion Unit Conversion (m/s ↔ km/h)Average Speed (Equal Distances or Times)Relative Speed (Same or Opposite Direction)

Medium3

Meeting and Overtaking Problems Trains Passing Pole / Platform Boats and Streams (Upstream / Downstream)

Hard3

Races and Relative Speeds Circular Track / Same Starting Point Complex Motion / Variable Speeds

Practice Time, Speed and Distance

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10 patterns

Mixtures & Alligations

Master Mixtures & Alligations patterns

Easy3

Basic Mixture Concept Alligation Rule (Mean Proportion Method)Concentration / Percentage Mixture

Medium3

Mixing Two Mixtures Profit-Based Mixture (Value Alligation)Different Quantity Mixtures

Hard4

Replacement or Repeated Dilution Successive Replacement (Compound Type)Equalizing Strength / Ratio-Based Equations Chain Mixture Problems

Practice Mixtures & Alligations

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10 patterns

Compound Interest

Master Compound Interest patterns

Easy3

Basic CI Formula Application CI vs SI Difference (2–3 Years)Yearly/Quarterly/Half-Yearly Compounding

Medium3

Fractional Time (Compound Interest)Principal or Rate Finding Time Finding Problems

Hard4

Equal Installments / EMI Depreciation Problems Population Growth Problems Mixed SI & CI Problems

Practice Compound Interest

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10 patterns

Data Interpretation

Master Data Interpretation patterns

Easy4

Tabular Data Interpretation (Simple Tables)Bar Graph Interpretation Pie Chart Interpretation Line Graph Interpretation

Medium3

Mixed Graphs (Bar + Line / Table + Pie)Ratio & Percentage Based DI Data Comparison Across Years / Categories

Hard3

Cumulative / Growth Rate DI Caselet / Paragraph-Based DI Missing Data / Logical DI

Practice Data Interpretation

🔴 Hard · 4 topics

Advanced Topics

Exam-level complexity with multi-step reasoning.

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10 patterns

Geometry & Mensuration

Master Geometry & Mensuration patterns

Easy4

Basic Shapes & Formulas (2D Geometry)Properties of Triangles (Angles & Sides)Circles (Tangents, Chords, Arcs)Quadrilaterals (Parallelogram, Rhombus, Trapezium)

Medium3

Polygons (Interior/Exterior Angles)Coordinate Geometry (Distance, Slope, Area)3D Mensuration — Cubes & Cuboids

Hard3

Cylinder, Cone, and Sphere Combination and Conversion of Solids Trickier Word Problems / Advanced Applications

Practice Geometry & Mensuration

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10 patterns

Permutation & Combination

Master Permutation & Combination patterns

Easy4

Fundamental Counting Principle (FCP)Simple Permutations (Order Matters)Simple Combinations (Order Doesn’t Matter)Repetition Allowed (Permutation with Repetition)

Medium3

All Letters Different (Word Arrangement)Repeated Letters in Words Circular Permutations

Hard3

Conditional Permutations (With/Without Restrictions)Selection with Conditions (At least / At most)Mixed Applications (Seating, Digits, Passwords, Multi-stage Problems)

Practice Permutation & Combination

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10 patterns

Probability

Master Probability patterns

Easy4

Basic Probability Definition Complementary Events Coin and Dice Based Probability Card-Based Probability

Medium3

Probability Using Permutations/Combinations Independent and Dependent Events Conditional Probability

Hard3

Mutually Exclusive and Exhaustive Events Bayes’ Theorem Complex Probability Situations

Practice Probability

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10 patterns

Standard Deviations

Master Standard Deviations patterns

Easy3

Mean and Deviation Basics Variance and Standard Deviation Formula (Direct Method)Effect of Change in Origin and Scale

Medium3

Shortcut (Assumed Mean) Method Coefficient of Variation Frequency Distribution (Grouped Data)

Hard4

Combined Standard Deviation (Two Data Sets)Weighted Mean and SD Relationship Between Mean, Median & Mode Real-life / Comparative Data Interpretation using SD

Practice Standard Deviations

All Numerical Ability Topics at a Glance

Quick overview of every topic in Numerical Ability, its difficulty level, and pattern count.

Topic	Difficulty	Patterns	Action
Simplification & Approximation	Easy	10	Practice →
Number System	Easy	10	Practice →
Ratio & Proportion	Easy	13	Practice →
Percentages	Easy	10	Practice →
Averages	Easy	10	Practice →
Ages	Easy	10	Practice →
Profit & Loss	Easy	10	Practice →
Simple Interest	Easy	10	Practice →
Series & Progression	Medium	10	Practice →
Equations	Medium	10	Practice →
Time and Work	Medium	10	Practice →
Time, Speed and Distance	Medium	10	Practice →
Mixtures & Alligations	Medium	10	Practice →
Compound Interest	Medium	10	Practice →
Data Interpretation	Medium	10	Practice →
Geometry & Mensuration	Hard	10	Practice →
Permutation & Combination	Hard	10	Practice →
Probability	Hard	10	Practice →
Standard Deviations	Hard	10	Practice →

Frequently Asked Questions

Everything about Numerical Ability topics, patterns, and practice

Leyaa covers 19 topics for Numerical Ability, organized across Easy, Medium, and Hard difficulty levels.

Numerical Ability is tested in SSC CGL, IBPS PO, SBI PO, RRB NTPC, and 100+ other competitive exams.

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AI-adaptive practice across 19 topics and 193 patterns. Start with your weakest areas and build to exam-level mastery.

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19 comprehensive topics

193 practice patterns

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