AFCAT Numerical Ability Notes

Ratios as parts, duplicate and sub-duplicate ratios, joining and compounding ratios, dividing a sum, partnership, proportionals, componendo-dividendo, ages, incomes, mixtures, coins and variation.

Profit per cent on cost, repricing through the cost price, profit counted in articles, discounts and markups, two articles at one price, mixtures, false weights, partnership and instalments.

Simple interest both ways, two amounts, rate and time changes, sums becoming n times, compound factors, CI minus SI, half-yearly and effective rates, and instalments.

Units, average speed, speed and time in inverse proportion, late and early, relative speed, trains, boats and streams, races and circular tracks.

Totals and missing values, consecutive numbers and first-n formulas, values added, removed, replaced or misread, groups and overlaps, weighted and percentage averages, extremes, cricket and ages.

Percentages and fractions, percentage change, successive changes, price and consumption, population growth, budgets and groups, marks and elections, profit and discount, mixtures, interest, work and speed.

Place value, fraction and decimal conversion, recurring decimals, ordering, decimal arithmetic, fraction word problems, BODMAS, squares and roots, and percentages.

Work as a rate, efficiency, working together, leaving and joining, alternate days, man-days and man-hours, crews that change mid-job, and pipes and cisterns.

Adding one liquid to a ratio or a percentage, mean price and strength, the alligation cross, a milkman's profit, and removal and replacement.

Equally likely outcomes, the not, or and and rules, coins and nCr, sums and pairs on two dice, the 52-card deck, draws with and without replacement, and choosing balls with combinations.

Hand speeds, the angle at any time, when the hands coincide, oppose or form an angle, mirror images and clocks that gain or lose.

Squares and their last digits, square and cube roots of whole numbers and decimals, the least number for a perfect square or cube, surds, rationalising and fractional powers.

HCF and LCM by prime factors and by division, fractions, the product rule, numbers from a ratio, tiles, bells, remainders and digit limits.

Laws of indices, zero, negative, fractional and decimal powers, equations in powers, simplifying and combining surds, rationalising, and square roots of surd expressions.

Class intervals, pie charts, the mean and combined mean, standard deviation, median and mode of lists and grouped data, the geometric mean, the empirical relation, histograms and ogives.

AP, GP and HP terms and sums, which term and how many terms, the sum to infinity, the three means and how they compare, and the standard sums of natural numbers, squares and cubes.

Kinds of numbers, divisibility rules, prime factorisation and counting divisors, HCF and LCM, and remainders of sums, products and powers.

Standard-angle ratios, one angle of elevation or depression, shadows and ladders, two sightings of one tower, speed from two angles, flagstaffs, two buildings and reflections.

Rectangles, triangles, rhombus and trapezium, regular polygons, circles and sectors, rings and grazing, inscribed figures, shaded regions and changes in dimensions.

Cube, cuboid, prism and pyramid, cylinder, cone and frustum, sphere and hemisphere, joined and inscribed solids, and melting, recasting and displacement.