Simplification
Simplification & BODMAS
Simplification tests how quickly you reduce a multi-operation expression using strict BODMAS order. Banking prelims pack 5+ questions of this type, making it one of the highest-scoring sections if you drill fraction-decimal-percent conversions. Approximate aggressively when answer choices are spaced apart \u2014 rounding to the nearest 5 still locks the correct option.
Key Idea
BODMAS is non-negotiable. In banking exams, approximate aggressively — the answer choices are spaced wide enough that rounding to nearest 5 still uniquely identifies the correct answer.
Core Formulas
BODMAS Order
B → O → D → M → A → S (Brackets, Orders, Divide, Multiply, Add, Subtract)
Follow this order for every mixed-operation expression before attempting any shortcut.
LCM for fractions
a/b ± c/d = (ad ± bc)/(bd); simplify by GCD
Apply this to combine fractions with different denominators, then reduce by GCD.
Approximation tolerance
Round to nearest 5; if answer options differ by >5%, approximation is sufficient
For banking exam simplification questions
Perfect square pattern
n² − (n−1)² = 2n − 1 (difference of consecutive squares is always odd)
To quickly identify nearby perfect squares
Fraction-percent conversion
p% = p/100; reduce fraction; memorise common ones: 20%=1/5, 25%=1/4, 12.5%=1/8
To convert between % and fraction quickly
Relevant Exams
5+ questions in IBPS PO and SBI PO Prelims — one of the highest-weightage topics in banking exams. Tests BODMAS, approximation, and fraction/decimal operations.