Question

Four friends-Alice, Bob, Charlie, and Dana-each buy a different fruit: apple, banana, orange, or grape. Alice does not buy grapes. Bob buys neither apples nor oranges. Charlie does not buy bananas, who buys the grapes?

• A. Alice
• B. Bob
• C. Charlie
• D. Dana
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Hint:

For set-based questions, build on previous assignments and use elimination to narrow down possibilities for remaining items.

Answer 1

The Correct Option is D

- Step 1: Recall constraints from Question 3. Alice: not grapes. Bob: not apples, not oranges (so bananas or grapes). Charlie: not bananas. Each has a different fruit.
- Step 2: Assign Bob’s fruit. Since Charlie cannot have bananas, Bob must have bananas to satisfy the unique fruit condition.
- Step 3: Assign remaining fruits. Fruits left: apple, orange, grape. People left: Alice, Charlie, Dana. Alice cannot have grapes, so grapes go to Charlie or Dana.
- Step 4: Assign Alice’s fruit. From Question 3, Alice has the orange. Fruits left: apple, grape. People left: Charlie, Dana.
- Step 5: Assign remaining fruits. Charlie cannot have bananas (already Bob’s), so Charlie has apple or grape. Since grapes are not with Alice, Charlie or Dana has grapes.
- Step 6: Finalize assignments. If Charlie has apple, Dana has grapes. If Charlie has grapes, Dana has apple. Since Alice has orange and Bob has bananas, grapes can only go to Dana in the scenario where Charlie has apple.
- Step 7: Final conclusion. Option (4) Dana is the correct answer, as Dana consistently gets grapes in valid assignments.
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