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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]

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What is the value of positive integer n?

(1) n^4 < 25
(2) n is not equal to n^2

OPEN DISCUSSION OF THIS QUESTION IS HERE: what-is-the-value-of-the-positive-integer-n-165408.html
[Reveal] Spoiler: OA

Last edited by Bunuel on 14 Oct 2016, 00:44, edited 2 times in total.
Renamed the topic and edited the question.
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Re: What is the value of positive integer n? [#permalink]

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

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New post 28 Feb 2011, 18:22
Answer is C, and the reasoning is same as explained by beyondgmatscore.
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Re: What is the value of positive integer n? [#permalink]

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

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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]

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

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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]

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

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New post 13 Oct 2016, 09:33
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Re: What is the value of positive integer n? [#permalink]

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New post 14 Oct 2016, 00:45
Madelaine88 wrote:
What is the value of positive integer n?

(1) n^4 < 25
(2) n is not equal to n^2


What is the value of the positive integer n ?

Notice that we are told that n is a \(positive integer\).

(1) n^4 < 25. Since n is a positive integer, then n can be 1 or 2. Not sufficient.

(2) \(n\neq{n^2}\) --> \(n)\neq{1}\). Not sufficient.

(1)+(2) Since from (2) \(n)\neq{1}\), then from (1) n=2. Sufficient.

Answer: C.

OPEN DISCUSSION OF THIS QUESTION IS HERE: what-is-the-value-of-the-positive-integer-n-165408.html
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Re: What is the value of positive integer n? [#permalink]

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New post 15 Oct 2016, 07:35
Madelaine88 wrote:
What is the value of positive integer n?

(1) n^4 < 25
(2) n is not equal to n^2

OPEN DISCUSSION OF THIS QUESTION IS HERE: what-is-the-value-of-the-positive-integer-n-165408.html


FROM STATEMENT - I ( INSUFFICIENT)

n = 1 , n^4 = 1
n = 2 , n^4 = 16

FROM STATEMENT - II ( INSUFFICIENT)

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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Re: What is the value of positive integer n?   [#permalink] 15 Oct 2016, 07:35
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