Logic & Inferencing

Number, letter and figure series; verbal and numerical analogies; picking the element that breaks the pattern. This is the purest 'NTSE MAT' material — no syllabus, just pattern recognition speed. When stuck, check differences, then ratios, then alternating rules, then positional shifts.

Mirror and water images, paper folding, embedded figures, cubes and dice nets, figure completion and counting. Entirely visual — nothing to memorise, everything to practise. Build a mental checklist for each subtype: for paper folding, track fold order; for embedded figures, rotate the target mentally.

Letter, number and matrix coding, symbol substitution, cryptarithmetic and alphametics. The exam staple where a rule is applied to letters or digits and you reverse-engineer it. Write out the alphabet positions (A=1…Z=26) before starting — most codes are positional shifts, reversals, or pair swaps.

Data interpretation through a logic lens — missing numbers in grids, input-output machine steps, pie charts, and small optimization problems. Less about calculation, more about inferring the rule the data follows. For input-output questions, trace one step fully before predicting the next.

Seating arrangements, floor and ordering puzzles, mislabeled boxes, language puzzles and constraint satisfaction. The highest-effort logic subtype: a fixed set of clues you must combine without contradiction. Make a grid or row diagram and place the *most constrained* entity first.

All/some/no statements, conclusions that must follow, and set overlap reasoning. Syllogisms are mechanical once you commit to one method — draw the Venn regions for each premise and check whether the conclusion is *forced*, not merely possible. 'Could be true' answers are the trap.

Day-of-week calculations, clock angles and time overlaps, and age-ratio problems. Formula-driven and dependable — odd days for calendars, the |30H−5.5M| angle rule for clocks, and setting variables at the right time point for ages. Reliable marks if drilled.

Movement puzzles — turn left, walk 3 km, which direction are you facing and how far from start. Draw the path on paper; these are trivial with a sketch and error-prone in your head. Track facing direction and displacement separately.

Arithmetic dressed as reasoning — percentages, fractions and profit-loss inside puzzle formats rather than direct computation. The math is easy; extracting the right equation from the wording is the test. Translate sentence by sentence and resist solving before the setup is complete.