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Quantitative Aptitude: Models and Methods

A complete quantitative aptitude course built the way the topics are actually set in placement papers and competitive exams: as a small number of recognisable models per chapter, each with a method and a shortcut. It starts at number classification and divisibility, then works through percentages, ratio and proportion, simple and compound interest, profit, loss and discount, time and work, pipes and cisterns, boats and streams, ages, partnerships and mixtures. Every model is taught idea first, then shown worked once on small hand-checkable numbers, then given a step-through console so you can change the givens and watch the method rather than the answer. Each lesson closes with the interview questions and the practice that model actually attracts, including the traps examiners set deliberately.

12
Modules
34
Lessons
~14 hr
Material
Start the first lesson
  1. 1

    Number Foundations

    Beginner2 lessons

    The layer every other chapter assumes: classifying a number on sight, predicting whether a result must be odd or even, and finding a factor without dividing. Divisibility rules are taught as four families with a reason each, so a forgotten rule can be rebuilt.

  2. 2

    Percentages

    Beginner0 lessons

    The single most reusable chapter in the syllabus. Percentage change, the fraction multipliers worth memorising, and the models built on them: comparison, successive change, the remaining model, salary, election and examination marks.

    • 3

      Ratio and Proportion

      Beginner0 lessons

      Reading a ratio sentence correctly and then dividing, connecting, and changing ratios. Includes the thirteen sentence patterns that translate English into a ratio, the coins concept, unit conversion traps, and income, expenditure and savings.

      • 4

        Simple Interest

        Beginner4 lessons

        Interest charged only on the original principal. Three models: finding any one of the five quantities, relation questions where the principal cancels out entirely, and two-condition comparisons solved by subtracting what the conditions share.

      • 5

        Compound Interest

        Intermediate7 lessons

        Interest charged on interest, and every place that differs from the simple case. Basic calculation, compounding periods from annual to quarterly, rates that change year to year, the interest earned in one particular year, and repeated-growth multiples.

      • 6

        Profit, Loss and Discount

        Intermediate7 lessons

        Cost price, selling price and marked price kept straight, then profit and loss percentages, the dishonest-dealer questions, discount on marked price, successive and equivalent discounts, and the reverse questions that hide the second discount.

      • 7

        Time and Work

        Intermediate9 lessons

        Work as a rate rather than a quantity, and the LCM-units method that removes fractions from the whole chapter. Seven models: the basic together case, alternate days, joining and leaving, the chain rule, wages, efficiency, and mixed groups of workers.

      • 8

        Pipes and Cisterns

        Intermediate0 lessons

        Time and work with one addition: a pipe that empties works at a negative rate. Two filling pipes, filling against emptying, pipes closed part way through, alternate opening patterns, and faster-slower efficiency comparisons.

        • 9

          Boats and Streams

          Advanced0 lessons

          Two speeds that add going downstream and subtract coming back, and the four formulas that follow. Finding speeds and ratios, finding time and distance, and the round-trip models where the average speed is not the average of the speeds.

          • 10

            Problems on Ages

            Advanced0 lessons

            Translating time-travel sentences into equations, with the constant age gap as the anchor. Six models: matched time shifts, fractional and percentage multipliers, split time travel, birth and marriage milestones, shifting family averages, and long multi-person chains.

            • 11

              Partnerships

              Advanced0 lessons

              Profit shared in proportion to money multiplied by time invested. Simple partnership, the late joiner, the complex timeline where partners both join and leave, the working partner who takes a management cut, and monthly additions and withdrawals.

              • 12

                Mixtures and Alligations

                Advanced5 lessons

                The alligation cross as a fast weighted-average tool, and the unit rule that decides whether it may be used at all. The basic rule, repeated replacement, mixing two mixtures together, and profit computed on a mixture rather than on a pure good.

              Free learning material from Examate · All courses · ~14 hr of material

              Quantitative Aptitude: Models and Methods — Free Interactive Course | Examate