In a row of students facing north, Rahul is 22^{\text{nd}} from the left end and Diya is 16^{\text{th}} from the right end. If there are exactly 8 people sitting between them, what are the <strong>MAXIMUM</strong> (x) and <strong>MINIMUM</strong> (y) possible numbers of students in the row?

  1. A. x=45, y=28
  2. B. x=46, y=28
  3. C. x=44, y=24
  4. D. x=46, y=24

Correct Answer: B. x=46, y=28

Explanation

Maximum number of students (no overlap) = 22 + 8 + 16 = 46. Minimum number of students (overlap scenario) = (22 + 16) - (8 + 2) = 38 - 10 = 28. Hence, x=46 and y=28.

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