If 4 ≤ x ≤ 8 and 2 ≤ y ≤ 7, then what is the ratio of maximum value of (x + y) to minimum value of (x − y)?

Quantitative Aptitude ·Previously asked in UPSC Civil Services Examination 2025

View the full solved paper: GS Paper II

Question

If 4 ≤ x ≤ 8 and 2 ≤ y ≤ 7, then what is the ratio of maximum value of (x + y) to minimum value of (x − y)?

  1. A. 15/6
  2. B. 2
  3. C. 15/2
  4. D. None of the above (Correct answer)

Correct Answer

Option D — None of the above

Detailed Solution & Explanation

The correct answer is None of the above.

Key Points

  • Max of (x+y): x=8, y=7 → 15. Min of (x−y): x=4, y=7 → −3. Ratio = 15/(−3) = −5. None of the options (15/6, 2, 15/2) equal −5. Answer: None of the above.