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# If m is a positive odd integer between 2 and 30, then m is

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If m is a positive odd integer between 2 and 30, then m is [#permalink]  31 Mar 2008, 07:49
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If m is a positive odd integer between 2 and 30, then m is divisible by how many different positive prime numbers?

(1) m is not divisible by 3

(2) m is not divisible by 5

Pls explain.Thanks.
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Joined: 20 Aug 2007
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Re: DS Gmatprep [#permalink]  31 Mar 2008, 07:57
shils01 wrote:
If m is a positive odd integer between 2 and 30, then m is divisible by how many different positive prime numbers?

(1) m is not divisible by 3

(2) m is not divisible by 5

Pls explain.Thanks.

positive odd integers btw 2 and 30 include 3,5,7,...,29

1) if m is not divisible by 3, these include 5 7 11 13 17 19 23 25 29
all are divisible by one positive prime number only - sufficient

2) if m is not divisible by 5, these include 3 7 9 11 13 17 19 21 23 27 29
since 21 is divisible by both 3 and 7 while the rest is only divisible by one positive prime integer, so this is insufficient

go with A
Re: DS Gmatprep   [#permalink] 31 Mar 2008, 07:57
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