Simplification – Complete Guide for SSC
Objectives
- Apply BODMAS correctly and avoid common traps
- Use digit-sum and approximation techniques to save time
- Handle fractions, decimals, surds, and percentages confidently
Key Concepts
- BODMAS/PEMDAS order; parentheses and implicit multiplication
- Operations with fractions and decimals; converting recurring decimals
- Surds and rationalization; squares and cubes of common numbers
- Estimation and approximation when options are spaced out
- a/b + c/d = (ad + bc)/bd; a/b − c/d = (ad − bc)/bd
- (a + b)^2 = a^2 + 2ab + b^2; (a − b)^2 = a^2 − 2ab + b^2
- (a + b)(a − b) = a^2 − b^2
Solved Examples
- 48 ÷ 6 × 3 − 5 = 24 − 5 = 19 (apply BODMAS left to right for ÷ and ×)
- 2/3 + 5/6 = 4/6 + 5/6 = 9/6 = 3/2
Previous Year Questions (PYQs)
PYQ Snippets
- If x% of 360 = 72, find x. (Ans: 20)
- Simplify: 0.25 × 0.04 ÷ 0.5 (Ans: 0.02)
Practice
BETA
