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Fair and Square (Posted on 2003-11-03) Difficulty: 3 of 5
Jack and Jill each have marble collections. The number in Jack's collection in a square number.

Jack says to Jill, "If you give me all your marbles I'll still have a square number." Jill replies, "Or, if you gave me the number in my collection you would still be left left with an even square."

What is the fewest number of marbles Jack could have?

See The Solution Submitted by Ravi Raja    
Rating: 2.3333 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(3): Lost their marbles (full solution) | Comment 11 of 25 |
(In reply to re(2): Lost their marbles (full solution) by DJ)

um... I think you're trying to be difficult... or at best, you are stretching the intent of the problem. 'Even' means evenly divisible by '2'.

Examples of 'even squares' are 0, 4, 16, 36, etc...
Examples of 'odd squares' are 1, 9, 25, 49, etc...
  Posted by SilverKnight on 2003-11-03 13:39:24

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