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 Missing Clue (Posted on 2004-04-27)
Logical Larry was upset to learn that his recent submission to a logic problem magazine had multiple solutions. As it turns out, the magazine editor accidentally omitted one of his clues.

Here is the clue as it was printed:

Four children (Betty, Bobby, Billy, and Brian) enter a store selling bikes, balls, and balloons, each of which come in blue, brown, or beige.

From the clues below, determine what each child purchased:

1. Betty did not purchase a balloon.

2. Bobby and Billy purchased the same color item, which was not brown. Betty and Bobby purchased the same item.

3. Betty thought it best to purchase a brown item.

4. Brian is the only one who purchased both his item and his color.

5. A brown ball was not purchased. Neither was a blue bike.
The missing clue should have read, "A balloon was not purchased by _________" However, Larry cannot remember what should be in the blank to make the problem solvable.

What should be in the blank?

 See The Solution Submitted by Jeff Rating: 3.1667 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: Full Solution (major spoiler) | Comment 7 of 15 |
(In reply to Full Solution (major spoiler) by DJ)

Brilliant.

A perfect exapmple of thinking outside of the box. That possibility passed me by completely.

Whew. Ok, forget my earlier comment. Great puzzle.

Edited on April 27, 2004, 3:16 pm
 Posted by Sam on 2004-04-27 15:16:35

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