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S is a set of positive integers such that if integer x is a

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S is a set of positive integers such that if integer x is a [#permalink] New post 01 Nov 2004, 03:03
S is a set of positive integers such that if integer x is a member of S, then both x^2 and x^3 are also in S. If the only member of S that is netiher the square nor the cube of another member os S is called the source integer, is 8 in S?

1. 4 is in S and is not the source integer.

2. 64 is in S and is not the source integer.
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 [#permalink] New post 01 Nov 2004, 10:22
A it is
1) Source is 2 and 8 is in
2) Source is 4 or 8. If 4, then 8 is not source. If 8, then 8 is source.
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  [#permalink] 01 Nov 2004, 10:22
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