Lesson 6.1: Shortcut Tricks & Formulae Handbook

Introduction:
A handbook of shortcuts and formulas saves time during SSC exams and enhances accuracy. This lesson explains how to use these resources effectively.

1. Quantitative Aptitude Shortcuts

• Percentages & Profit/Loss:

  • Profit% = (Profit ÷ Cost) × 100

  • Loss% = (Loss ÷ Cost) × 100

  • Quick percentage conversion trick: multiply/divide by 10 or 5

• Time, Work & Speed:

  • Work = Rate × Time

  • Speed = Distance ÷ Time

  • Shortcut: If 5 men do a work in 10 days, 10 men will do it in 5 days

• Algebra & Geometry:

  • Quadratic equations: Factorization or formula method

  • Area & Perimeter formulas: Memorize common shapes

• Mensuration: Shortcut formulas for circle, triangle, rectangle, and cube

2. Reasoning Shortcuts

• Series & Patterns: Identify difference or multiplication patterns quickly

• Coding-Decoding: Look for shifting, reverse, or symbol patterns

• Puzzles: Stepwise elimination for seating arrangements, blood relations

3. English Language Shortcuts

• Grammar rules simplified for tenses, articles, prepositions

• Common synonyms, antonyms, one-word substitutions

• Quick error spotting and sentence rearrangement tips

4. SSC Tips

• Keep the handbook handy for last-minute revision

• Regularly update with new tricks or shortcuts

• Apply shortcuts only after understanding the concept

5. Practice Questions

Solved Examples:

1. Profit% = (72 ÷ 480) × 100 = 15%

2. Series: 2, 6, 12, 20 → pattern: +4, +6, +8 → next = 30

Unsolved Exercises:

1. Find the area of a rectangle with length 12 cm and breadth 7 cm

2. Convert 0.625 into fraction and percentage

3. Identify the error: “He don’t like apples.”

4. Solve series: 3, 9, 27, 81, ?

5. Time & Work shortcut: 6 men can complete a work in 8 days. How long for 12 men?