GATE 2023 PH – Question 4
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?
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Correct answer: (D) Some Fields medalists have dropped out of college.
Explanation
Only one fact is given about a particular person, so only a statement of the form "some" can be inferred.
**What we know:** June Huh (1) is a Fields medalist, (2) won no medal in the International Mathematics Olympiad, (3) dropped out of college, (4) was a poet when he was younger.
- **A. Every Fields medalist has won an Olympiad medal.** June Huh is a counter-example. ✗
- **B. Everyone who dropped out has won the Fields medal.** Nothing supports "everyone". ✗
- **C. All Fields medalists are part-time poets.** One poet does not make all of them poets. ✗
- **D. Some Fields medalists have dropped out of college.** June Huh is a Fields medalist who dropped out, so at least one such person exists. ✓
Answer **D**.