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GATE 2026 EC – Question 2

General Aptitude · Analytical Aptitude: Logical Reasoning and Deduction · 1 mark · Multiple choice

The statements (S1), (S2), and (S3) pertain to the scores obtained by students in an exam. The maximum possible marks in the exam is 150. (S1) The highest score is 100. (S2) The fourth highest score is 76. (S3) There are at least four students whose scores are within 25 of each other. Which one of the following options is necessarily correct?

  1. (S1) and (S2) together imply (S3)
  2. (S1) and (S3) together imply (S2)
  3. (S2) and (S3) together imply (S1)
  4. (S1) implies (S3)

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Correct answer: (A) (S1) and (S2) together imply (S3)

Explanation

If the top score is 100 and the fourth highest is 76, the top four scores all lie in [76, 100], a spread of 24 ≤ 25. So S1 and S2 together imply S3.