Approximation Questions with Solutions

Approximation questions aren’t asking for the exact answer — they’re asking for the answer closest to the options given, so rounding every number first is the technique, not a shortcut around it. Here’s the concept, four fully worked examples, and a few to try yourself.

The concept, quickly

  • Round every number in the expression to a convenient nearby value FIRST — nearest whole number for decimals, nearest multiple of 10/100 for percentages and large numbers, nearest perfect square under a square root.
  • Then calculate normally using BODMAS with the rounded numbers — the goal is a value close to the exact answer, not the exact answer itself.
  • Round consistently: if you round one number up, the overall error is usually small as long as you don’t round several numbers in the same direction by a large margin.
  • This is a pure speed technique for multiple-choice questions where the options are spread far enough apart that an approximate value clearly identifies the right one.

Worked examples

1. 41.9% of 599.8 ≈ ?

Solution

  1. Round: 41.9% → 42%, and 599.8 → 600.
  2. 42% of 600 = (42/100) × 600 = 252.

Answer: 252

2. √255.8 × 4.02 ≈ ?

Solution

  1. Round: 255.8 → 256 (a perfect square), and 4.02 → 4.
  2. √256 = 16, so 16 × 4 = 64.

Answer: 64

3. 12.98 × 7.03 + 25.02 ≈ ?

Solution

  1. Round: 12.98 → 13, 7.03 → 7, and 25.02 → 25.
  2. 13 × 7 + 25 = 91 + 25 = 116.

Answer: 116

4. 3599 ÷ 59.8 ≈ ?

Solution

  1. Round: 3599 → 3600, and 59.8 → 60.
  2. 3600 ÷ 60 = 60.

Answer: 60

Try these yourself

Round each number first, then calculate, and check against the answer.

1. 20.2% of 749.9 ≈ ?

Answer: 150

2. 15.92 × 4.08 ≈ ?

Answer: 64

3. 6399 ÷ 79.7 ≈ ?

Answer: 80

Where this comes up

Approximation 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 dedicated set of 5 quick-calculation questions.

Practice more Approximation questions

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

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