Free Aptitude Training for Students India | Skills Lab

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TL;DR: Master quantitative aptitude, logical reasoning, and verbal ability free. Practice for TCS, Infosys, JEE, NEET, and all competitive exams.

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Free Aptitude course: 50 lessons, from the basics through to the advanced topics interviewers actually ask about. Every lesson is free, needs no sign-up, and runs in your browser with an editor and instant AI feedback.

Aptitude Course Syllabus — 50 Lessons

Work through them in order, or jump to the topic you need. 50 lessons include worked explanations and runnable examples.

Basic — Numbers

• Number System — Numbers are classified into Natural Numbers (1,2,3...), Whole Numbers (0,1,2...), Integers (...-2,-1,0,1,2...), Rational Numbers (p/q form), Irrational Numbers (√2, π), and Real Numbers.
• Percentages — Percentage means "per hundred". x% = x/100.
• Fractions & Decimals — A fraction p/q has numerator p and denominator q.
• Ratio & Proportion — Ratio a:b = a/b. Ratios should always be in their simplest form.
• Averages — Average = Sum of observations / Number of observations.
• Age Problems — Age problems require setting up linear equations with variables for present age.
• LCM & HCF — Problem Solving — HCF (Highest Common Factor) = largest number that divides all given numbers exactly.
• Number Properties — Perfect Squares: Numbers whose square root is an integer.
• Percentage Change & Reverse Percentage — Percentage Increase: New = Old × (1 + r/100).
• Mathematical Operations — BODMAS — BODMAS order: Brackets → Orders (powers/roots) → Division → Multiplication → Addition → Subtraction.

Basic — Finance

• Simple Interest — Simple Interest (SI) = (Principal × Rate × Time) / 100.
• Compound Interest — Compound Interest: Interest calculated on the initial principal AND the accumulated interest.
• Profit & Loss — Cost Price (CP) = price at which item is bought.
• Partnership — In a business partnership, profit is shared in proportion to capital × time.
• Profit & Loss — Marked Price & Discounts — Marked Price (MP) / List Price: The price tagged on the item.
• Compound Interest — Quarterly & Half-Yearly — When interest is compounded n times per year at annual rate R%: A = P(1 + R/(100n))^(nT).

Intermediate — Work Problems

• Time & Work — If A can do a work in n days, A's 1-day work = 1/n.
• Speed, Distance & Time — Speed = Distance / Time. Distance = Speed × Time.
• Trains & Boats — Boats and Streams: Downstream speed = Boat speed + Stream speed (u+v).
• Pipes & Cisterns — Filling pipe fills a tank in x hours → fills 1/x per hour (positive).
• Work & Wages — Wages are distributed in proportion to the work done (efficiency × time), not just time spent.
• Races & Games — In a race of X metres, A beats B by n metres means when A finishes X metres, B has only covered X-n metres.

Intermediate — Counting

• Permutation & Combination — Permutation: Arrangement of items where ORDER MATTERS.
• Probability — Probability of event E: P(E) = Number of favourable outcomes / Total number of outcomes.

Intermediate — Algebra

• Algebraic Expressions — Algebraic expression: combination of variables, constants, and operations.
• Sets & Venn Diagrams — Set: Collection of well-defined distinct objects.
• Arithmetic & Geometric Progressions — Arithmetic Progression (AP): a, a+d, a+2d, a+3d...
• Quadratic Equations — Quadratic equation: ax²+bx+c=0. Roots: x = [-b ± √(b²-4ac)] / 2a.

Advanced — Data

• Data Interpretation — Tables — Data Interpretation (DI) questions test your ability to read, analyze, and draw conclusions from data presented in tables, graphs, or charts.
• Data Sufficiency — Data Sufficiency (DS) tests whether given statements provide ENOUGH information to answer a question — you do NOT need to solve it.

Advanced — Reasoning

• Logical Reasoning — Syllogisms — Syllogism: Drawing conclusions from given statements.
• Number Series & Patterns — Arithmetic Series (AP): Common difference is constant.
• Coding & Decoding — Coding-Decoding tests your ability to find the pattern used to encode words or numbers.
• Clocks & Calendars — Clock Problems: Minute hand moves 360° in 60 minutes = 6°/min.
• Blood Relations — Blood relations problems test your understanding of family relationships.
• Directions & Distance — The four main directions: North (N), South (S), East (E), West (W).
• Seating Arrangements — Linear arrangement: People seated in a row.
• Input-Output Problems — Input-Output (machine) questions give an initial input and show how a machine processes it step by step.
• Statement & Assumptions — An assumption is something that is taken for granted or implied in a statement without being stated explicitly.
• Number Puzzles & Magic Squares — Number puzzles test logical thinking, pattern recognition, and arithmetic skills.
• Statement & Conclusions — A conclusion is a logical deduction drawn from a given statement — it must follow DIRECTLY and DEFINITELY from the statement.

Advanced — Math

• Mixtures & Alligation — Alligation Rule: Used to find the ratio in which two ingredients must be mixed to get a mixture at a desired price or concentration.
• Surds & Indices — Indices (Exponents): aᵐ × aⁿ = aᵐ⁺ⁿ. aᵐ / aⁿ = aᵐ⁻ⁿ.
• Logarithms — Logarithm: If aˣ = N, then logₐN = x. Read as "log base a of N equals x".

Intermediate — Geometry

• Mensuration — 2D Shapes — Rectangle: Area = l×b, Perimeter = 2(l+b), Diagonal = √(l²+b²).
• Mensuration — 3D Shapes — Cube: Volume = a³, Surface Area = 6a², Diagonal = a√3.
• Trigonometry Basics — For a right triangle: sin θ = Opposite/Hypotenuse, cos θ = Adjacent/Hypotenuse, tan θ = Opposite/Adjacent.

Advanced — Algebra

• Inequalities — Linear inequality: ax + b > c → x > (c-b)/a (if a>0).

Advanced — Verbal

• Analogies — Analogy tests find the relationship between two words and apply it to another pair.
• Critical Reasoning — Critical reasoning tests evaluate arguments: statements of conclusion supported by premise(s).

Who this Aptitude course is for

School and college students in India starting from zero, and anyone revising Aptitude for placements, board practicals or a project. There is no prerequisite beyond being able to type — the first lessons assume no programming background at all.

How to study this course

1. Read the lesson, then run the example in the built-in editor before moving on — reading code is not the same as writing it.
2. Try the practice task at the end of each lesson. Getting it wrong and fixing it is where the learning happens.
3. When you are stuck, ask the free AI Tutor to explain that specific line rather than skipping ahead.

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