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Asked in a 2000 paperModerate

In an examination, every candidate took physics or mathematics or both 65.8% took physics and 59.2% took mathematics the total number of candidates was 2000. How many candidates took both physics and mathematics?

Correct answer: B. 500

  • A. 750
  • B. 500
  • C. 250
  • D. 125

Explanation

Since every candidate took at least one subject, the union is 100%. Therefore, both subjects = 65.8% + 59.2% − 100% = 25% of 2000 candidates = 0.25 × 2000 = 500 candidates. A student may choose 750 by adding the two subject totals without removing the double-counted candidates.

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