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Re: What is the value of positive integer n? [#permalink]

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28 Feb 2011, 02:38

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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

Re: What is the value of positive integer n? [#permalink]

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22 Jan 2013, 00:52

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: What is the value of positive integer n? [#permalink]

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24 Jan 2013, 13:48

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.
_________________

Re: What is the value of positive integer n? [#permalink]

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25 Jan 2013, 22:09

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]

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02 Dec 2014, 10:03

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Re: What is the value of positive integer n? [#permalink]

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13 Oct 2016, 10:33

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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This statement means n = 1 , n^4 = 1 is not possible..

COMBINE I AND II

We can obtain our answer n = 2 , n^4 = 16 Hence, BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.Answer will be (C)

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