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
Key Formulas
- 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
Practice
Practice Simplification
50+ practice questions available
BETA
