Quantitative Aptitude
Arithmetic, Algebra, Mensuration, Geometry, Trigonometry, and Speed Calculation shortcuts for SSC, Banking, Railways & State PSC exams.
Quantitative Aptitude Topics (19 Chapters)
Each chapter includes concept explanations, key formulas, distractor trap alerts, and real exam practice questions with detailed solutions.
Partnership
Partnership questions split a profit between partners according to how much each invested and for how long. Profit is shared in…
Boats and streams questions combine a boat's speed in still water with the speed of the current. Going with the current adds the…
Ratio questions divide an amount into parts in a given ratio or compare two quantities. Convert the ratio to parts, find the…
Compound interest adds each year's interest to the principal, so the next year's interest is earned on a bigger amount.
Simple interest is earned only on the original principal, the same amount every year.
Approximation questions ask for the nearest value of a messy calculation. Round each number sensibly, then calculate; the…
Discount questions start from the marked (list) price. The discount is taken off the marked price, not the cost price.
Profit and loss questions compare cost price and selling price. Profit or loss percent is always calculated on the cost price.
Averages
An average is the total divided by the count. Most average questions are solved by working with totals, not averages.
Problems on ages turn statements like "the father is 3 times as old" into equations. The age difference between two people never…
Percentage
Percentage means "per hundred". Percentage questions ask for a part of a number, a percentage change, or the net effect of…
Speed, time and distance questions use one relationship: distance = speed × time. Train questions add the length of the train…
LCM and HCF
LCM is the smallest number that two or more numbers divide into; HCF is the largest number that divides all of them.
Number system questions test divisibility, remainders and unit digits. Unit digits of powers repeat in a cycle of at most 4.
Simplification questions test calculation speed and the order of operations (BODMAS: brackets, of, division, multiplication,…
Mensuration
Mensuration covers the perimeter, area and volume of 2D and 3D shapes. Most questions apply one formula after finding a missing…
Time and work questions find how long people take to finish a job together. Work with the part of the job done per day.
Trigonometry
Trigonometry questions use standard angle values and identities. Memorising the table for 0°, 30°, 45°, 60° and 90° solves most…
Algebra
Algebra questions in these exams are short identity problems, such as finding x² + 1/x² from x + 1/x.