All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > General
Time For Breakfast (Posted on 2003-03-03) Difficulty: 2 of 5
A, B and C just finished their breakfast. One of the boys had apples, another bananas and the third, grapes. If only one of the following four statements is true, who had what for breakfast?

C had bananas.

C did not have grapes.

B did not have grapes.

B did not have apples.

See The Solution Submitted by Ravi Raja    
Rating: 2.7273 (11 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Puzzle Solution With Explanation Comment 22 of 22 |
(In reply to Answer by K Sengupta)

t the outset, if possible let us assume that neither B nor C had grapes. Then, both the clues 2 and 3 are true, which is a contradiction as only one of the following four statements is true.

Thus, precisely one of B and C had grapes. If B had grapes, then clues 2 and 4 are true. This is a contradiction.

Accordingly, C must have had grapes. Hence, the third statement is true and since precisely one of the statements is true, it follows that the remaining statements are all false.

Since statement 4 is false, it now follows that B had apples, so that A had bananas.

  Posted by K Sengupta on 2008-03-13 13:19:02
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (4)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information