Indian Railways (RRB)

Types of numbers, place value, divisibility, remainders and unit digits — the foundation of all maths.

BODMAS, fractions, decimals, surds, indices and smart approximation — the highest-weightage RRB topic.

Lowest Common Multiple and Highest Common Factor — with the bell, tile and circular-track question types.

Per-hundred thinking, fraction conversions, increase/decrease and successive change — the backbone of arithmetic.

Mean of quantities, replacement problems, and averages of consecutive numbers.

Comparing quantities, combining ratios, proportion rules and the coin-bag classics — the language of fair shares.

Spot the hidden pattern — differences, ratios, squares and letter jumps — and predict the next term in seconds.

Crack letter shifts, opposite pairs, jumbles and number codes — the pattern-lock chapter of reasoning.

Family relation terms, generation charts, symbol-coded relations and 'pointing to a photo' puzzles — solved with a simple family tree.

The 8 directions, left/right turns, net displacement with Pythagoras, and sun-shadow logic — solved by sketching the path.

Spot the exact relationship in word, letter and number pairs, and pick the odd one out — two sides of the same pattern skill.

Positions in rows and queues, ranks from top and bottom, interchanges, and taller-shorter chains — count once, count right.

From the Indus Valley cities to the Golden Age of the Guptas — the civilizations, religions and empires that shaped early India.

The Delhi Sultanate, the mighty Mughals, the Bhakti-Sufi saints and the rise of the Vijayanagara and Maratha powers.

European arrival, British rule, the great social reforms and the freedom struggle up to Independence and integration.

The physical divisions, river systems, monsoon climate, states and capitals, wildlife and the crops and minerals of India.

Latitudes and longitudes, the continents and oceans, and the famous international boundary lines and neighbours of India.

How the Constitution was made and how India is governed — rights, duties, Parliament, the judiciary and local government.