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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: 3.2857 (7 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
my soln. | Comment 14 of 18 |
betty did not buy a balloon as is given.from permutations we can say that billy did not buy a balloon. and any one of the rest could have brought one balloon. so the answer is any one of them.
  Posted by ravi on 2004-08-23 05:01:31
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