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Missing Clue (Posted on 2004-04-27) Difficulty: 2 of 5
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: Not solvable | Comment 5 of 15 |
(In reply to Not solvable by Alec Lanter)


If the answer reads "A balloon was not purchased by Billy," Billy can buy either a beige bike or a beige ball, and Brian can but either a blue ball or a blue balloon (they just can't both get the ball).

If the answer reads "A balloon was not purchased by Brian," Brian gets the blue ball, but Billy can get either a beige bike or a beige balloon.

And of course if the clue names anyone else then it was worse then usless.

This puzzle can't be solved. Perhaps it was missing a second clue?

  Posted by Sam on 2004-04-27 14:50:59
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