Is 30 a factor of n 1. 30 is a factor of n^2 2. 30 is a : GMAT Data Sufficiency (DS)
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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]

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15 Sep 2004, 08:08
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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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15 Sep 2004, 09:07
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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15 Sep 2004, 11:43
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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15 Sep 2004, 13:41
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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Re: Is 30 a factor of n 1. 30 is a factor of n^2 2. 30 is a [#permalink]

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19 Jan 2014, 06:06
sdanquah wrote:
Is 30 a factor of n

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

I think it is E

My explanation

Statement 1

Obviously Insuff

Statement 2

n is a factor of 15 but insuff

Statement 1 and 2

n^2 is a factor of 15^2 (2)
But we still don't know if n has a factor of 2 because we are not told that 'n' is an integer or whatsoever

E
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Re: Is 30 a factor of n 1. 30 is a factor of n^2 2. 30 is a [#permalink]

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19 Jan 2014, 09:42
jlgdr wrote:
sdanquah wrote:
Is 30 a factor of n

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

I think it is E

My explanation

Statement 1

Obviously Insuff

Statement 2

n is a factor of 15 but insuff

Statement 1 and 2

n^2 is a factor of 15^2 (2)
But we still don't know if n has a factor of 2 because we are not told that 'n' is an integer or whatsoever

E

Every GMAT divisibility question will tell you in advance that any unknowns represent positive integers, which means that ALL GMAT divisibility questions are limited to positive integers only.

If n is not an integer, then the question does not make sense (at least for GMAT) .

If n is an integer, is 30 a factor of n?

(1) 30 is a factor of n^2. If 30=2*3*5 is not a factor of n (if 2, 3 and 5 are not factors of n), then how this factors could appear in n^2? Exponentiation doesn't "produce" primes. Sufficient.

(2) 30 is a factor of 2n. Clearly insufficient: if n=15 then the answer is NO but if n=30 then the answer is YES. Not sufficient.

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Re: Is 30 a factor of n 1. 30 is a factor of n^2 2. 30 is a   [#permalink] 19 Jan 2014, 09:42
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