Allied & ICAR Exam Bank • ALLIED_1939 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Ratios & Percentages

Question Statement:

In an exam, 65% of students passed in Mathematics and 70% passed in English. If 15% failed in both subjects and 200 students passed in both, the total number of students who appeared is:

Options:

  • (A) 400
  • (B) 500
  • (C) 450
  • (D) 350

Answer Key:

A

Step-by-Step Solution & Explanation

Passed in at least one $= 100 - 15 = 85\%$. Passed in both $= 65\% + 70\% - 85\% = 50\%$. $0.50 N = 200 \implies N = 400$.
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