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Is 30 a factor of n 1. 30 is a factor of n^2 2. 30 is a

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Is 30 a factor of n 1. 30 is a factor of n^2 2. 30 is a [#permalink] New post 15 Sep 2004, 09:08
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Is 30 a factor of n

1. 30 is a factor of n^2
2. 30 is a factor of 2n
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 [#permalink] New post 15 Sep 2004, 10:07
A

To find whether 30 is a factor of n, we need to know the factors of n. If n has 2,3 and 5 as it factors then 30 will be a factor of n.

1) Sufficient
if 30 is factor n^2 then n should have at least one 2,3 and 5

2) Insufficient
n might have just 3 and 5 as its factors.
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 [#permalink] New post 15 Sep 2004, 12:43
C

1. insufficient. SQRT(30) is a permissible n which satisfies st.1.
2. insufficient. 15, 30, 45 can all be a valid picks for n

1+2 stipulates that n is an integer, then you can get valid yes for permissible numbers. sufficient.
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 [#permalink] New post 15 Sep 2004, 14:41
C also
1) sqrt 30 is a possible answer which makes it inconclusive
2) n could be 15 or 30
Both combined, we know that 30 must be a factor of 2*n*n and if it is, then 30 must also be a factor of n
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Paul

  [#permalink] 15 Sep 2004, 14:41
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