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GATE 2023 CH – Question 4

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

In 2022, June Huh was awarded the Fields medal, which is the highest prize in Mathematics.
When he was younger, he was also a poet. He did not win any medals in the International Mathematics Olympiads. He dropped out of college.
Based only on the above information, which one of the following statements can be logically inferred with certainty?

  1. Every Fields medalist has won a medal in an International Mathematics Olympiad.
  2. Everyone who has dropped out of college has won the Fields medal.
  3. All Fields medalists are part-time poets.
  4. Some Fields medalists have dropped out of college.

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Correct answer: (D) Some Fields medalists have dropped out of college.

Explanation

June Huh is a Fields medalist who dropped out of college, so at least one Fields medalist has dropped out of college. He is a counterexample to A, and nothing in the passage supports B or C.