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 orange?

• A. Alice
• B. Bob
• C. Charlie
• D. Dana
  \bigskip

Hint:

In logical reasoning sets, use constraints to eliminate options systematically and test assignments to find consistent solutions.

Answer 1

The Correct Option is A

To solve the problem, we need to assign each of the four friends one of the different fruits based on the given conditions:

• Alice does not buy grapes.
• Bob buys neither apples nor oranges.
• Charlie does not buy bananas.

Since each person buys a different fruit and there are four fruits (apple, banana, orange, grape), we can use the process of elimination:

1. Bob cannot buy apples or oranges, leaving only bananas or grapes as options.
2. Charlie cannot buy bananas, so his options are apples, oranges, or grapes.
3. Alice cannot buy grapes, leaving her with apples, bananas, or oranges as options.

Now we assign the fruits:

1. Since Dana is not explicitly restricted and everyone else has a fruit they cannot buy, assume Dana buys grapes.
2. This leaves Bob with the only choice of bananas, as he cannot buy apples or oranges.
3. Charlie unable to buy bananas, cannot have grapes because Dana has them, and is now limited to apples or oranges.
4. Since Alice cannot buy grapes, she must buy oranges.
5. This leaves Charlie with apples, as he cannot buy bananas and oranges are with Alice

Thus, by elimination and matching individuals to their only possible fruit:

• Alice buys the orange.
• Bob buys the banana.
• Charlie buys the apple.
• Dana buys the grape.

 

The answer is that Alice buys the orange.