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What is the value of positive integer n?

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What is the value of positive integer n? [#permalink] New post 28 Feb 2011, 01:31
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What is the value of positive integer n?

(1) n^4 < 25
(2) n is not equal to n^2
[Reveal] Spoiler: OA

Last edited by Bunuel on 22 Jan 2013, 03:53, edited 1 time in total.
Renamed the topic and edited the question.
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Re: Value of positive integer n [#permalink] New post 28 Feb 2011, 01:38
We are given that n is positive and n is integer.

From 1, n^4 < 25, so n can be 1 or n can be 2 as 1^4 =1 and 2^4 = 16 whereas 3^4 would be 81 and so on. We cant fix a value for n from this information, so clearly insufficient

From 2 , n^2 is not equal to n. Now for any positive integer n, n^2 will be equal to n only when n=1, so n can be any of 2,3,4 and so on.. clearly insufficient.

Combining 1 and 2 gives us that n can only be 2, so sufficient. Answer C
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Re: Value of positive integer n [#permalink] New post 28 Feb 2011, 18:22
Answer is C, and the reasoning is same as explained by beyondgmatscore.
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Re: Value of positive integer n [#permalink] New post 21 Jan 2013, 23:52
beyondgmatscore wrote:
We are given that n is positive and n is integer.

From 1, n^4 < 25, so n can be 1 or n can be 2 as 1^4 =1 and 2^4 = 16 whereas 3^4 would be 81 and so on. We cant fix a value for n from this information, so clearly insufficient

From 2 , n^2 is not equal to n. Now for any positive integer n, n^2 will be equal to n only when n=1, so n can be any of 2,3,4 and so on.. clearly insufficient.

Combining 1 and 2 gives us that n can only be 2, so sufficient. Answer C


For statement 1 the only possible values are 1 and 2, 3 isn't possible right?

How do you solve this question using examples?
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Re: Value of positive integer n [#permalink] New post 24 Jan 2013, 12:48
fozzzy wrote:
beyondgmatscore wrote:
We are given that n is positive and n is integer.

From 1, n^4 < 25, so n can be 1 or n can be 2 as 1^4 =1 and 2^4 = 16 whereas 3^4 would be 81 and so on. We cant fix a value for n from this information, so clearly insufficient

From 2 , n^2 is not equal to n. Now for any positive integer n, n^2 will be equal to n only when n=1, so n can be any of 2,3,4 and so on.. clearly insufficient.

Combining 1 and 2 gives us that n can only be 2, so sufficient. Answer C


For statement 1 the only possible values are 1 and 2, 3 isn't possible right?

How do you solve this question using examples?


Fozzzy, which example method you are referring to. If \(n^4<25\), you can consider 1 & 2 as only positive numbers which satisfy the condition.
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Re: What is the value of positive integer n? [#permalink] New post 24 Jan 2013, 12:54
Statement 1: Could be 1 or could be 2. Not sufficient.
Statement 2: Could be any integer other than 0 and 1. Not sufficient.

Combined 1 + 2: Can only be 2 as all other integers would exceed 25. Sufficient.
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Re: Value of positive integer n [#permalink] New post 25 Jan 2013, 21:09
PraPon wrote:

Fozzzy, which example method you are referring to. If \(n^4<25\), you can consider 1 & 2 as only positive numbers which satisfy the condition.


The earlier explanation said 3^4 was satisfying the condition so that got me confused, Only 1 and 2 satisfy the equation. when we combine 1=1^2 so this case is ruled out leaving us with the only possible value as 2.

The fastest way to approach these questions is using examples, I was wondering if there is a graphic approach or any alternative solution in case the question is complex.
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Re: What is the value of positive integer n? [#permalink] New post 02 Dec 2014, 09:03
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Re: What is the value of positive integer n?   [#permalink] 02 Dec 2014, 09:03
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