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What is the value of positive integer n? [#permalink]
 28 Feb 2011, 02:31
Question Stats:
68% (01:34) correct
31% (00:23) wrong based on 4 sessions
What is the value of positive integer n? (1) n^4 < 25 (2) n is not equal to n^2
Last edited by Bunuel on 22 Jan 2013, 04:53, edited 1 time in total.
Renamed the topic and edited the question.
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Re: Value of positive integer n [#permalink]
28 Feb 2011, 02:38
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]
28 Feb 2011, 19:22
Answer is C, and the reasoning is same as explained by beyondgmatscore.
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Re: Value of positive integer n [#permalink]
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: Value of positive integer n [#permalink]
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.
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Re: What is the value of positive integer n? [#permalink]
24 Jan 2013, 13:54
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]
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: Value of positive integer n
[#permalink]
25 Jan 2013, 22:09
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