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
- 81
- Lessons
- ~32 hr
- Material
- 1
Number Foundations
Beginner2 lessonsThe 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
Percentages
Beginner9 lessonsThe 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.
- What a Percentage Is20m
- The Fraction Table and the Change Multiplier20m
- Percentage Comparison25m
- Percentages Model 1 — Variables and Equations20m
- Percentages Model 2 — Successive Change and Consumption25m
- Percentages Model 3 — The Remaining Model25m
- Percentages Model 4 — The Salary Model20m
- Percentages Model 5 — The Election Model20m
- Percentages Model 6 — The Examination Model25m
- 3
Ratio and Proportion
Beginner13 lessonsReading 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.
- Ratio Fundamentals and the Golden Rule20m
- Types of Ratios20m
- Proportion and Its Types25m
- Turning Exam Sentences into Ratios30m
- Model 1 — Finding the Ratio20m
- Model 2 — Dividing an Amount in a Ratio25m
- Model 3 — Connecting the Ratios25m
- Model 4 — When Adding Changes the Ratio25m
- Model 5 — Problems on Coins25m
- Model 6 — Finding the Proportional20m
- Model 7 — The Unit Conversion Trap20m
- Model 8 — Splitting Three Ways with One Clue25m
- Model 9 — Income, Expenditure and Savings30m
- 4
Simple Interest
Beginner4 lessonsInterest 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 lessonsInterest 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 lessonsCost 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 lessonsWork 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
Intermediate5 lessonsTime 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.
- Pipes and Cisterns: Inlets, Outlets and Negative Work20m
- Pipes and Cisterns Model 1: Filling Together, and Filling Against a Drain25m
- Pipes and Cisterns Model 2: A Pipe Closed Part-Way25m
- Pipes and Cisterns Model 3: Pipes Opened Alternately25m
- Pipes and Cisterns Model 4: Faster, Slower and Efficiency Ratios25m
- 9
Boats and Streams
Advanced6 lessonsTwo 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.
- Boats and Streams: The Four Golden Formulas20m
- Boats and Streams Model 1: Finding the Speeds and the Ratios25m
- Boats and Streams Model 2: Finding Time and Distance25m
- Boats and Streams Model 3: The Double Time Trick25m
- Boats and Streams Model 4: The Round Trip25m
- Boats and Streams Model 5: The Double Equation25m
- 10
Problems on Ages
Advanced8 lessonsTranslating 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.
- Problems on Ages — The Time-Travel Rules20m
- Problems on Ages — The Equation Decoder25m
- Ages Model 1 — The “Together” Time Jump25m
- Ages Model 2 — The Fraction Disguise25m
- Ages Model 3 — The 'Split' Time Travel25m
- Ages Model 4 — The Birth and Marriage Milestone25m
- Ages Model 5 — The Shifting Family Average30m
- Ages Model 6 — The Long Story Chain30m
- 11
Partnerships
Advanced6 lessonsProfit 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 lessonsThe 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 · ~32 hr of material