Master Revision Sheet

High-Yield Formulae & Concepts | M KHADAR BASHA JILAN

📐 Quant & Math

Score Target: 18+
Arithmetic Essentials
P% = (Change / Original) × 100 Always divide by the original/initial value. In Profit, it's always CP.
S.I. = (P × R × T) / 100 Interest remains constant every year. Linear growth.
C.I. = P [ (1 + R/100)ⁿ - 1 ] Compound Interest: Use successive percent for 2-3 years for faster calculation.
Avg Speed = 2xy / (x + y) Used when distance is equal for two different speeds (x and y).
Advance Math Shortcuts
(a + b)² = a² + b² + 2ab Useful in Algebra for finding a² + b² given (a+b) and ab.
Circumference = 2πr | Area = πr² Remember π ≈ 22/7 or 3.14. Check if Diameter or Radius is given.
Tan(45°) = 1 | Sin(30°) = 1/2 Memorize the Standard Table. Trigonometry often relies on these ratios.

🧩 General Intelligence

Score Target: 23+
Number & Letter Series
Step-by-Step Approach: 1. Difference → 2. Double Difference → 3. Multiplier/Division → 4. Squares/Cubes +/- Constant.
Alphabet Logic: Use EJOTY (5, 10, 15, 20, 25) to find positions quickly. Cross-check reversed pairs (A-Z, B-Y).
Logical Structures
Blood Relations: Don't imagine your own family. Draw a family tree. Horizontal for siblings, Vertical for generations.
Syllogisms: Use Venn Diagrams. If "Some A are B" and "Some B are C", "Some A are C" is NOT necessarily true.
Coding-Decoding: Check for Shifting ( +2, -3 ), Reversal, or Mixed patterns.

📖 English Language

Score Target: 18+
Grammar Rules (High Yield)
Subject-Verb Agreement: "Either...or", "Neither...nor" → Verb follows the nearest subject.
Tense Consistency: Check if the sentence starts in Past Tense; it must stay in Past Tense unless a time-shift is mentioned.
Conditionals: If + Subject + Had + V3, then Subject + Would have + V3. (Past Unreal).
Verbal Ability Strategy
Cloze Test: Read the entire passage once. Identify the tone (Positive/Negative) before picking fillers.
Reading Comprehension: Read questions first, then skim the text for keywords to find answers faster.
Error Spotting: Sequence: 1. Tense → 2. S-V Agreement → 3. Prepositions → 4. Articles.

🌍 General Awareness

Score Target: 15+
Static GK Framework
Polity: Focus on Fundamental Rights (12-35), DPSP, and Important Amendments (42nd, 44th, 101st).
History: Modern: 1857 → Gandhian Era (1915-1947). Ancient: Indus Valley, Buddhism/Jainism, Mauryas/Guptas.
Geography: Focus on Rivers & Tributaries, Census 2011, and Mountain Passes.
Science: Bio: Vitamins & Diseases. Chem: Periodic Table trends. Phys: SI Units & Laws of Motion.
Current Affairs Logic
Focus Areas: Appointments, Govt Schemes (Budget 2025-26), Sports (Grand Slams, Olympics), and Summits (G20, BRICS).
Recall Method: When unsure, use Elimination. Avoid blind guessing in GA to prevent negative marking.