GATE AG 2013 • Q56 MCQ • 2 Marks

Section 8: General Aptitude

Verbal Aptitude

Subtopic: Basic English Grammar & Vocabulary

Question Statement:

If 3 ≤ X ≤ 5 and 8 ≤ Y ≤ 11 then which of the following options is TRUE?

Options:

  • (A) 3/5≤X/Y≤8/5
  • (B) 3/11≤X/Y≤5/8
  • (C) 3/11≤X/Y≤8/5
  • (D) 3/5≤X/Y≤8/11

Official Answer Key:

B

Step-by-Step Solution & Explanation

X/Y is minimized when X is smallest and Y is largest: min(X/Y) = 3/11. X/Y is maximized when X is largest and Y is smallest: max(X/Y) = 5/8. So 3/11 ≤ X/Y ≤ 5/8. Answer: (B).

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