Simplification (BODMAS) Questions with Solutions

Simplification questions are a speed test more than a difficulty test — the only real skill is applying the BODMAS order correctly instead of solving strictly left to right. Here’s the concept, four fully worked examples, and a few to try yourself.

The concept, quickly

  • BODMAS gives the order of operations: Brackets, Of, Division, Multiplication, Addition, Subtraction — solve innermost brackets first, not left to right across the whole expression.
  • "Of" means multiply, but is evaluated before a separate division or multiplication that appears later in the expression — this is the "V" or "O" that trips people up when they skip straight to left-to-right.
  • Division and multiplication rank EQUALLY with each other and are done left to right in the order they appear — it’s not "always divide before multiplying". The same is true for addition and subtraction.
  • Work brackets from the innermost outward: solve ( ) first, then { }, then [ ], substituting each result back in before moving to the next layer out.

Worked examples

1. Simplify: 15 + 6 ÷ 3 × 2 − 4

Solution

  1. Division and multiplication first, left to right: 6 ÷ 3 = 2, then 2 × 2 = 4.
  2. Now addition and subtraction, left to right: 15 + 4 − 4 = 15.

Answer: 15

2. Simplify: 5 of 8 ÷ 4 + 6 × 2

Solution

  1. "Of" first: 5 of 8 = 40.
  2. Division and multiplication next: 40 ÷ 4 = 10, and 6 × 2 = 12.
  3. Addition last: 10 + 12 = 22.

Answer: 22

3. Simplify: 100 − [20 + {10 − (6 − 2)}]

Solution

  1. Innermost brackets first: (6 − 2) = 4.
  2. Next layer: {10 − 4} = 6.
  3. Next layer: [20 + 6] = 26.
  4. Finally: 100 − 26 = 74.

Answer: 74

4. Simplify: (3/4) of 60 + 25% of 80 − 15

Solution

  1. "Of" terms first: (3/4) of 60 = 45, and 25% of 80 = 20.
  2. Addition and subtraction, left to right: 45 + 20 − 15 = 50.

Answer: 50

Try these yourself

Apply BODMAS the same way, then check against the answer.

1. Simplify: 20 − 4 × 3 + 6 ÷ 2

Answer: 11

2. Simplify: 2 of 15 ÷ 5 − 3 × 2

Answer: 0

3. Simplify: 50 − [15 + {20 − (8 + 4)}]

Answer: 27

Where this comes up

Simplification is tested directly in the Quantitative/Numerical Aptitude section of every exam Pariksha Saathi covers — SSC CGL, SSC MTS, SSC CHSL, IBPS PO, IBPS Clerk, SBI PO and SBI Clerk — usually as a quick, high-volume set of questions meant to be solved fast.

Practice more Simplification questions

This page covers the concept and a handful of worked examples. Pariksha Saathi has full topic-wise practice sets for Simplification (and every other Quant/Reasoning/English topic) with instant scoring and explanations — free, no account required.

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