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If n and t are positive integers, is n a factor of t? [#permalink]
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30 Jul 2009, 04:35
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If n and t are positive integers, is n a factor of t ? (1) \(n = 3^{n2}\) (2) \(t = 3^n\)
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Re: is n a factor of t?? [#permalink]
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30 Jul 2009, 04:40
1) n= 3^n2 ... but no relationship with t defined .. so insuff
2) t=3^n =
for n = 1 t = 3 so 1 is a factor of 3 .. true for n = 2 t = 9 so 2 is not a factor of 9 ... false
so insuff
combine both ..
we see that the only value of n that satisfies stmt1 condition is n = 1 and for n = 1 we see that stmt 2 is true ...
therefore C



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Re: is n a factor of t?? [#permalink]
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30 Jul 2009, 06:13
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arvs212 wrote: If n and t are positive integers, is n a factor of t?
1) n= 3^n2
2) t=3^n
pllz give reasonings...or if discussed earlier do post the link.. The answer here really depends on how S1 is written. There's a question in GMATFocus where Statement 1 reads \(n = 3^{n2}\). Then, from S1 you can determine by inspection that n = 3, but we have no information about t, so this is not sufficient. Statement 2 is not sufficient either; n could be 3 and the answer is 'yes', or n could be 2 and the answer is 'no'. Using both together, the question 'is n a factor of t' becomes 'is 3^(n2) a factor of 3^n', to which the answer is clearly yes, since n2 is less than n (when you divide 3^n by 3^(n2), you get 3^2 = 9). So the answer is C. If, on the other hand, Statement 1 is written as in the original post above, so that the '2' is not part of the exponent: \(n = 3^n  2\), then from S1 you can see by inspection that n = 1. Since 1 is a factor of every positive integer, Statement 1 would then be sufficient, and the answer would be A.
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Re: is n a factor of t?? [#permalink]
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30 Jul 2009, 06:53
So true ... whats the OA ?



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Re: is n a factor of t?? [#permalink]
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30 Jul 2009, 08:36
thnks everyone...the OA is C...and in the question it is...1) n = 3^(n2)...



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Re: If n and t are positive integers, is n a factor of t? [#permalink]
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07 May 2015, 11:46
1) n = 3^{n2}=3^n/2 2) t = 3^n From 1) and 2) t = 2*n answer c arvs212 wrote: If n and t are positive integers, is n a factor of t ?
(1) \(n = 3^{n2}\) (2) \(t = 3^n\)
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Re: If n and t are positive integers, is n a factor of t? [#permalink]
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08 May 2015, 11:40
Hi All, This question can be solved with a combination of arithmetic and TESTing VALUES. We're told that N and T are POSITIVE INTEGERS. We're asked if N is a factor of T. This is a YES/NO question. Fact 1: N = 3^(N−2) Since this Fact tells us NOTHING about T, it's clearly insufficient. We can find the value of N without too much trouble though since we already know that it's a positive integer. With a little "brute force", we can find that N = 3 is the solution. Fact 1 is INSUFFICIENT Fact 2: T = 3^N IF.... N = 1 T = 3 1 IS a factor of 3 so the answer to the question is YES IF.... N = 2 T = 9 2 is NOT a factor of 9 so the answer to the question is NO Fact 2 is INSUFFICIENT Combined, we know... N = 3 T = 3^N = 3^3 = 27 3 IS a factor of 27 so the answer to the question is ALWAYS YES. Combined, SUFFICIENT Final Answer: GMAT assassins aren't born, they're made, Rich
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Re: If n and t are positive integers, is n a factor of t? [#permalink]
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If n and t are positive integers, is n a factor of t? [#permalink]
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26 Aug 2016, 05:50
Statement 1 is insufficient as there is no relation mentioned between 'n' & 't' Statement 2 is also insufficient, consider n=0, then t=1 , n=1 then t=3 but if n=3, then t=27. Different cases can be obtained.
Combined: n=3^n.3^2, n=t.3^2, 9.n=t. Hence option C.




If n and t are positive integers, is n a factor of t?
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