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What is the value of integer n?

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yoovi4u
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What is the value of integer n? [#permalink] New post   Updated on: 23 Feb 2014, 04:54
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What is the value of integer n?

(1) n = n^4
(2) 1^n ≠ n

I came across a question in Kaplan's 2014 review book. I am not too satisfied with the answer and explanation given. Please help me around here.

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Answer in Kaplan



They explained saying B is right with the implication that the value of n = 0 will fit perfectly and no other possibility.

But I am confused and I think -1 will also be a valid candidate for the equation, making it an E-er.

What do you think?

Also, the Kaplan review problems seem to be fairly less complex. Does this reflect real GMAT?
P.S: I haven't taken any Kaplan CATs yet.

Thanks,
Yuvi
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C

Originally posted by yoovi4u on 09 Feb 2014, 03:47.
Last edited by Bunuel on 23 Feb 2014, 04:54, edited 2 times in total.
Edited the OA.
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Re: What is the value of integer n? [#permalink] New post   09 Feb 2014, 05:17
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B is clearly incorrect.

Stmt 2: 1^n != n.

if n=0 then 1^0 != 0
if n=2 then 1^2 != 2
if n=3 then 1^3 != 3 and so on hence n can ANY integer other than 1 & -1. Multiple values of n are possible. not sufficient.

Stmt 1: n = n^4

n can be 0 or 1. not sufficient.

(1)+(2) n can be only 0. hence C must be the answer.

On the other hand if statement 2 says 1^n = n. then n can only be 1 or -1. Again here also C will be the solution.
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What is the value of integer n? [#permalink] New post   09 Feb 2014, 05:33
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1^-1 is equal to 1 which is not equal to -1. But only 0 satisfies both statements.
Answer should be C


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Re: What is the value of integer n? [#permalink] New post   23 Feb 2014, 04:41
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Seems answer should be C

Statement 2 says = \(1^n \neq n\)
so n can be any integer other than 1 and -1
statement 2 is valid for n= 2,3,4 etc
So multiple values of n insufficient

1+2
n= 0 only
answer C

May moderator kindly change the OA or provide explanation if answer is indeed b
Thank you


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Re: What is the value of integer n? [#permalink] New post   23 Feb 2014, 04:58
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stne wrote:
Seems answer should be C

Statement 2 says = \(1^n \neq n\)
so n can be any integer other than 1 and -1
statement 2 is valid for n= 2,3,4 etc
So multiple values of n insufficient

1+2
n= 0 only
answer C

May moderator kindly change the OA or provide explanation if answer is indeed b
Thank you


(My 200th mile stone)


Done.

What is the value of integer n?

(1) n = n^4 --> n = 0 or n= 1. Not sufficient.

(2) 1^n ≠ n --> the integer powers of one are 1, thus 1^n = 1, so we are given that 1 ≠ n. Not sufficient.

(1)+(2) Since n ≠ 1, then n = 0. Sufficient.

Answer: C.
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Re: What is the value of integer n? [#permalink] New post   23 Feb 2014, 05:35
Bunuel wrote:
stne wrote:
Seems answer should be C

Statement 2 says = \(1^n \neq n\)
so n can be any integer other than 1 and -1
statement 2 is valid for n= 2,3,4 etc
So multiple values of n insufficient

1+2
n= 0 only
answer C

May moderator kindly change the OA or provide explanation if answer is indeed b
Thank you


(My 200th mile stone)


Done.

What is the value of integer n?

(1) n = n^4 --> n = 0 or n= 1. Not sufficient.

(2) 1^n ≠ n --> the integer powers of one are 1, thus 1^n = 1, so we are given that 1 ≠ n. Not sufficient.

(1)+(2) Since n ≠ 1, then n = 0. Sufficient.

Answer: C.


erred on -1

-1 is a possibility for statement 2 as \(1^{(-1)} = 1\) and \(1\neq -1\)
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Re: What is the value of integer n? [#permalink] New post   20 Dec 2015, 05:26
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Bunuel wrote:
What is the value of integer n?

(1) n = n^4
(2) 1^n ≠ n


Hello,
(1) n = n^4
we can rewrite the statement 1 as n^4-n=0..
or n^3(n-1)=0...
so n can be 0 or 1... insuff

(2) 1^n ≠ n..
n can be any value except 1.... insuff

combined it gives the value as 0... SUFF
Ans C
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Re: What is the value of integer n? [#permalink] New post   06 May 2016, 12:22
Hi Chetan2u
i got it right in 1.45 minutes but just by looking and thinking conceptually.
My question is : Is it dangerous to just look and think without analyzing the expression like what you did above ?
I thought one case of two n = o or 1
Both statements confirmed my thought and clicked C.
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Re: What is the value of integer n? [#permalink] New post   06 May 2016, 20:12
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hatemnag wrote:
Hi Chetan2u
i got it right in 1.45 minutes but just by looking and thinking conceptually.
My question is : Is it dangerous to just look and think without analyzing the expression like what you did above ?
I thought one case of two n = o or 1
Both statements confirmed my thought and clicked C.


Hi,
At times we may require to use the method, which you have used , when you are not finding a way to move ahead or you are short of time and you HAVE to answer, but it is equally likely that you miss out on some concepts... and many times you find that C trap..
C trap is when you look and analyze and they give you info which seems perfectly fine to fit in and answer...
say there are two variables x and y.. I and II give you two equations and you think -two variables and two equations-- solvable so C
But when you simplify ONE of these two, you realize both are identical..

Now here you can easily anlyze the equation..
and if time is permitting and you know how to move ahead, ANALYZE..
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Re: What is the value of integer n? [#permalink] New post   15 Apr 2023, 02:54
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Re: What is the value of integer n? [#permalink]
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