Quantitative Aptitude

Number System and Divisibility

The sets of numbers, the divisibility rules for 2 through 11, counting factors and their sum from a prime factorisation, unit-digit cyclicity for powers, and the basics of remainders — the toolkit that makes the rest of arithmetic fast.

HCF and LCM

Finding the highest common factor and lowest common multiple by prime factorisation and by division, the product relation HCF × LCM = product of two numbers, HCF and LCM of fractions, and the standard applications — tolling bells, tiling, and the largest measuring unit.

Simplification and Order of Operations

The VBODMAS order and how to apply it without slips, handling signs and nested brackets, keeping fractions and decimals under control, and the four algebraic identities that turn an ugly product into a two-step mental calculation.

Fractions, Decimals and Surds

Types of fractions and fast ways to compare them, converting between fraction, decimal and percentage form, turning a recurring decimal into a fraction, and the basics of surds and rationalising a denominator.

Approximation and Estimation

When an exam question wants a close value rather than an exact one: rounding with the error kept small, approximating percentages, fractions, squares and roots, breaking a product into round numbers, and using the answer options to decide how rough you can be.

Percentages

What a percentage is, how it links to fractions and decimals, and how to handle percentage change, successive change and reverse-percentage questions at bank-exam speed.

Ratio and Proportion

How to read a ratio, divide a quantity in a given ratio, and use proportion (direct and inverse) to solve the scaling questions that run through data interpretation, partnership, mixtures and time-and-work.

Average

The arithmetic mean, the sum-count-average triangle, how an average shifts when a value is added or removed, and why average speed over equal distances is not the mean of the two speeds.

Profit, Loss and Discount

Cost price, selling price, marked price and discount; profit and loss as percentages of cost price; the marked-up-then-discounted chain; and why selling two items at the same price for equal gain and loss percentages always loses money.

Simple Interest

The simple-interest formula and its rearrangements, why simple interest grows the amount in an arithmetic progression, and the standard exam patterns: doubling and tripling times, and recovering the principal from two amounts at different times.

Compound Interest

The compound-interest formula, compounding more often than yearly, the difference between compound and simple interest over two and three years, and how to read compound interest as repeated percentage change.

Mixtures and Alligation

Weighted average and the alligation rule for mixing two ingredients of different price or strength, plus the repeated-replacement formula for a liquid drawn off and topped up with water.

Partnership and Share of Profit

How a business profit is split between partners: in the ratio of capital when the time is equal, in the ratio of capital times months when it is not, and after taking a working partner's salary or commission off the top.

Time and Work

The LCM (total-units) method for time-and-work problems, combining and subtracting work rates, the man-days idea, and the standard patterns: one person leaving partway, and alternating days.

Time, Speed and Distance

The speed-distance-time relationship, converting between km/h and m/s, relative speed for objects moving in the same and opposite directions, trains crossing objects and platforms, and average speed over a there-and-back trip.

Introduction to Data Interpretation

What a data interpretation set is, the formats it comes in, the handful of question types that keep recurring, and the habit of reading the whole set before touching a calculation.

Table Data Interpretation

Reading a rows-by-columns table fast: row totals versus column totals, per-unit figures, growth between columns, ratios across rows, and rounding to the options.

Bar and Line Graph Interpretation

Reading grouped and stacked bar charts and single or multi-series line graphs: telling a segment from a total, reading a trend, and measuring change between two points.

Pie Chart Interpretation

A pie is a whole split into shares given as percentages or as degrees. Converting between the two, turning a slice into an absolute value, and comparing slices across two pies with different totals.

Caselet Data Interpretation

Caselets hide the data in a paragraph. Extracting the numbers into a small table or a Venn layout before solving, handling successive percentages, and using the two-set union rule without double-counting.

Data Sufficiency

You decide whether the given statements are enough to answer, not what the answer is. The five standard options, the discipline of testing each statement alone before combining, and the traps that catch fast readers.

Missing Number Data Interpretation

Tables where a cell is left blank and must be found from a stated relationship: a row total, a given ratio, a percentage change, or an average. Read the clue, set up one equation, solve.

Mixed and Combined Data Interpretation

Sets that pair two representations — a table with a pie, a bar with a line — about the same scenario, where most questions need a value pulled from each and then combined. Watch for different totals and units between the two.

Approximation and Percentage Skills in DI

The speed skills DI rewards: rounding sensibly before dividing, the fraction equivalents of common percentages, percentage-change shortcuts, and comparing ratios by cross-multiplication instead of full division.

Quantity Comparison in DI

The Quantity I versus Quantity II format built on a data set: compute each quantity from the table or graph, then decide which of QI greater, QII greater, equal, or no fixed relation holds — computing only as far as the decision needs.

Areas and Perimeters

Perimeter and area formulas for the plane figures that appear in bank exams: rectangle, square, parallelogram, rhombus, trapezium, triangle and circle, with the unit traps and the reverse questions that go with them.

Surface Area and Volume

Volume, curved surface area and total surface area for the cuboid, cube, cylinder, cone, sphere and hemisphere, how the three quantities differ, and how to handle a solid made of two simple shapes.

Paths, Cross-sections and Cost

The applied mensuration questions: a path running around or through a field, a room to be tiled, painted or carpeted at a given rate, the number of tiles or bricks, and how long a pipe takes to fill a tank.

Factorials, Permutations and Combinations

Counting arrangements and selections without listing them: the multiplication principle, factorials, nPr for ordered arrangements and nCr for unordered selections, plus identical items, circular arrangements and the at-least/at-most split.

Probability

Probability as favourable outcomes over total outcomes: building the sample space, the complement rule, the addition rule for 'or', the multiplication rule for independent events, and without-replacement problems done by counting.

Algebraic Expressions and Identities

The standard square and cube identities, and how to use them to expand, factorise and evaluate expressions quickly from summary values like a+b and ab.

Linear Equations

Solving one linear equation, solving a pair by substitution and elimination, forming equations from word problems, and recognising when a pair has one solution, none, or infinitely many.

Quadratic Equations

Solving quadratics by factorisation and by formula, reading the discriminant, using the sum and product of roots, forming a quadratic from its roots, and the compare-the-roots question.

Surds, Indices and Exponents

The laws of indices, fractional and negative powers as roots and reciprocals, simplifying and comparing surds, rationalising a denominator, and solving simple exponential equations by matching bases.

Number Series

Spotting the rule behind a numeric sequence — differences, ratios, times-n-plus-k, squares and cubes with an offset, alternating and second-level patterns — to find a missing term or the term that breaks the rule.