Question

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?

• A. Every Fields medalist has won a medal in an International Mathematics Olympiad.
• B. Everyone who has dropped out of college has won the Fields medal.
• C. All Fields medalists are part-time poets.
• D. Some Fields medalists have dropped out of college.

Hint:

- Always distinguish between “all,” “every,” and “some” in logical reasoning questions. - One confirmed example is sufficient to prove “some.” - Be careful not to overgeneralize beyond the given facts.

Answer 1

The Correct Option is D

Step 1: Analyze the given facts.
- June Huh won the Fields Medal in 2022.
- He dropped out of college.
- He did not win any medals in International Mathematics Olympiads.
- He was also a poet when younger.
Step 2: Check each option.
- (A) False, because June Huh himself did not win any International Olympiad medal, so it cannot be true that “every” Fields medalist did.
- (B) False, because not everyone who dropped out of college won the Fields Medal; only June Huh is mentioned.
- (C) False, because June Huh was a poet, but that does not mean all Fields medalists are poets.
- (D) True, because June Huh is a Fields Medalist and he dropped out of college. Therefore, at least “some” (i.e., one) Fields Medalists have dropped out of college. Final Answer: (D) Some Fields medalists have dropped out of college.