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Quantitative aptitude

Practise percentages, ratios, averages, rates, and interest.

Make time for a small step

Answer at your own pace, skip a question when needed, and review every explanation at the end. Answers save when you finish the session.

This topic has 6 questions. A difficulty filter may shorten your session.

A useful way to practise quantitative aptitude

Start by translating the words into quantities and units. Percentages, ratios, averages, and rates become easier when you can explain what each number represents before choosing a formula.

  1. Write down the starting quantity, the requested quantity, and their units.
  2. Estimate a reasonable answer before calculating. A discount should reduce a price; halving identical workers should increase the time for a fixed job.
  3. Check the denominator in a percentage or average. Review the explanation even when your answer is correct.

A worked example

A value rises from 80 to 100. The increase is 20, but the percentage increase is 20 ÷ 80 × 100 = 25%, because the starting value is the reference. The reverse change from 100 to 80 is a 20% decrease.