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Out of 100 students, 50 failed in English and 30 in Mathematics. If 12 students fail in both English and Mathematics. Then the number of students who passed in both the subjects is__________?

Correct answer: D. 32

  • A. 26
  • B. 28
  • C. 30
  • D. 32

Explanation

Students failing at least one subject are 50 + 30 − 12 = 68, because the 12 who failed both were counted twice and must be subtracted once. Therefore, students passing both subjects are 100 − 68 = 32. A student may choose c, 30, by subtracting the number failing Mathematics from 50 without accounting for the overlap.

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Percentages express a quantity as parts per hundred and support calculations involving increases, decreases, discounts, commissions, taxes, and successive changes. Questions require distinguishing percentage change from percentage points and identifying the original value when a final value and its percentage change are given.

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