Quantitative Aptitude
Algebra, Geometry, Trigonometry, Mensuration, Number System, Percentages & Arithmetic
This is the Quantitative Aptitude syllabus taught for RRB NTPC (Railways). Each topic opens as a full chapter — theory, worked examples and the traps that paper actually uses.
Topics in Quantitative Aptitude
- AlgebraAlgebraic identities, linear and quadratic equations, surds, indices and graphs of linear equations.
- Averages, Simple & Compound InterestCalculation of arithmetic averages and growth of money through simple and compound interest.
- Boats, Streams, Trains & RacesRelative speed problems involving boats in water, trains passing objects and races.
- Data InterpretationAnalysis of data presented in tables, bar graphs, line graphs, pie charts, histograms and caselets.
- GeometryProperties of lines, angles, triangles, circles, quadrilaterals and polygons including centres and similarity.
- LCM & HCFLeast common multiple and highest common factor of numbers and fractions with word problems.
- Mensuration (2D & 3D)Area and perimeter of 2D figures and volume and surface area of 3D solids like prism, cone, cylinder and sphere.
- Mixture & AlligationFinding ratios and mean values when two or more ingredients of different values are mixed.
- Number System & SimplificationProperties of whole numbers, integers, fractions and decimals along with BODMAS-based simplification.
- PartnershipDistribution of profit among partners based on their capital invested and time period.
- PercentageConversion between fractions and percentages and their application in real-life expenditure, population and change problems.
- Pipes & CisternsFilling and emptying of tanks by inlet and outlet pipes, an application of time and work.
- Probability, Statistics & Permutation-CombinationBasic probability, measures of central tendency, dispersion and counting via permutation and combination.
- Profit, Loss & DiscountTrading calculations involving cost price, selling price, marked price, profit, loss and discount.
- Ratio & ProportionComparison of quantities using ratios, proportions, variation and problems on ages and coins.
- Surds & IndicesLaws of exponents, simplification of surds and rationalisation of irrational expressions.
- Time, Work, Speed & DistanceWork efficiency problems combined with time, speed and distance including relative speed concepts.
- TrigonometryTrigonometric ratios, identities, complementary angles and applications in heights and distances.
Practise Quantitative Aptitude
Reading every chapter below is free and needs no account. Practice, mocks and progress live in the app.
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