Logical Reasoning
Opposite Face Sum (Dice) — On a standard die, opposite faces always sum to 7 (1-6, 2-5, 3-4). Use this to deduce hidden faces instantly in cube problems.
EJOTY Method (Alphabet Position) — Letters at positions 5,10,15,20,25: E-J-O-T-Y. To find any letter's position, locate nearest EJOTY anchor and count forward/backward.
Clock Angle Formula — Angle between clock hands = |11M - 60H|/2 degrees, where H=hours, M=minutes. If >180°, subtract from 360° for smaller angle.
Mirror Image L-R Rule — Only left-right flips; top-bottom stays same. Letters like A, H, I, M, O, T, U, V, W, X, Y look identical in mirror.
Water Image T-B Rule — Only top-bottom flips; left-right stays same. Combine both for combined reflection: flip diagonally (both axes reverse).
Blood Relations Gender Decode — Mother's/Father's side = maternal/paternal. Uncle = father's brother OR mother's brother. Nephew = brother's/sister's son. Always draw family tree for complex chains.
Coding Pattern: +1,-1 Alphabet Shift — If CAT→DBU, each letter shifts +1 position. Common patterns: ±1, ±2, reverse alphabet (A↔Z, B↔Y), or position-value substitution.
Dice Net Folding: Adjacent Rule — When a net folds into a cube, faces sharing an edge in the net become adjacent (not opposite) on the cube.
Direction Sense: NESW Rotation — Clockwise: N→E→S→W→N. Each 90° right turn = next letter. Left turn = previous letter. 180° turn = opposite direction (N↔S, E↔W).
Ranking Formula: Total = Rank from Start + Rank from End - 1 — If Amit is 7th from top and 12th from bottom, total students = 7+12-1=18.
Science
pH Scale Anchors — pH 7=neutral (water), <7=acidic (lemon=2, vinegar=3), >7=basic (soap=10, bleach=13). Each unit = 10× H⁺ concentration change.
Valency Mnemonics: "H C N O" — Hydrogen=1, Carbon=4, Nitrogen=3, Oxygen=2. For metals: Sodium, Potassium=1; Calcium, Magnesium=2; Aluminium=3; use these to balance equations quickly.
Balancing Equations: CHON Priority — Balance in order: C (carbon) first, then H (hydrogen), then O (oxygen), then N (nitrogen). Saves time in complex combustion reactions.
Ohm's Law Triangle (V-I-R) — Draw triangle: V on top, I and R at bottom. Cover what you need: V=IR, I=V/R, R=V/I. Works for P=VI similarly.
Newton's Laws Shortcut — 1st: No net force→no acceleration. 2nd: F=ma (force proportional to acceleration). 3rd: Action-reaction pairs are equal, opposite, simultaneous, on different objects.
Cell Organelles: "Mighty Power Plants" — Mitochondria=powerhouse (ATP). Chloroplasts=solar panels (photosynthesis). Ribosomes=protein factories. Lysosomes=waste disposal (suicide bags). Golgi=packaging department.
Taxonomic Hierarchy: "King Philip Came Over For Good Soup" — Kingdom, Phylum, Class, Order, Family, Genus, Species. Broadest to most specific classification.
G-value: 10 m/s² Approximation — Use g=10 instead of 9.8 for quick calculations in gravitation/motion problems unless high precision demanded. Saves calculation time by 20%.