Five identical boxes are lined up in a row. A prize is hidden in one of them. Box A says 'The prize is in Box B or C.' Box B says 'The prize is in an even-numbered box.' Box C says 'The prize is in Box A.' Box D says 'The prize is in Box E.' Box E says 'The prize is not in this box.' Only the box containing the prize is telling the truth; all other boxes contain false statements. Which box holds the prize?
Box D
Let's test each box. If D is true, then E is false (since the prize is in D, not E). This matches E's statement that the prize is not in E. A, B, and C would be false. Box A says prize is in B or C (false). Box B says prize is even (D is 4, which is even, wait, if D is 4, B would be true. Let's number them A=1, B=2, C=3, D=4, E=5). If D is the prize, Box B ('prize is in an even-numbered box') would be TRUE, which violates the rule that only ONE box tells the truth (if D and B are both true, that's two). Let's re-evaluate: Box E says 'The prize is not in this box.' If E is true, then E is NOT the prize. But if E is the only true box, who has the prize? Let's check Box B: 'The prize is in an even-numbered box' (2 or 4). If B is true, B contains the prize. But then B is telling the truth, and no other is true. Let's check B as the answer: If prize is in B (2, even), then B is true. Box A ('prize in B or C') is true. That's two truths. Let's check Box E: If prize is in E (5), then E says 'The prize is not in this box' which is false. Box D says 'The prize is in E' which is TRUE. Box B says 'even' (5 is odd, false). Box C says 'prize in A' (false). Box A says 'B or C' (false). So if E has the prize, ONLY D tells the truth. Let's double check D: if prize is in E, Box D is true. But wait, Box D says 'The prize is in Box E.' So D is true. And E says 'The prize is not in this box' which is FALSE because the prize IS in E. Thus, only D is telling the truth. Wait, does Box D contain the prize? No, D says the prize is in E. So E contains the prize, and D is the only truthful box.
About this riddle
Logic riddles give you a few facts and ask what must be true. List what you know, cross out what cannot be, and see what is left.
Difficulty: Hard. More like this: Logic riddles with answers or try Einstein's Logic Grid for a different kind of puzzle.
More logic riddles
A digital clock displays times in 12-hour format without leading zeros (e.g., 1:05 or 12:30). Between 12:00 PM and 11:59 PM, how many times will every digit on the display be identical?
You stand before three closed boxes labeled 'Apples', 'Oranges', and 'Mix'. You are informed that every single label is incorrect. You can pick only one box, pull out one fruit without looking inside, and observe it. How can you determine the correct contents of all three boxes?
The rainbow is smaller than the leprechaun, and the leprechaun is smaller than the clover. Which one is the biggest?
In a drawer, there are 10 black socks, 10 white socks, and 10 blue socks completely mixed up in the dark. What is the minimum number of socks you must pull out to guarantee you have at least one matching pair of any color?
On a remote island, inhabitants are either Knights (who always tell the truth) or Knaves (who always lie). You meet two inhabitants, X and Y. X says: 'At least one of us is a Knave.' What are X and Y?
Look at this sequence of numbers: 8, 5, 4, 9, 1, 7, 6, 10, 3, 2. By what hidden rule are these numbers ordered?

