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If n is an integer, what is the value of n?

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If n is an integer, what is the value of n?  [#permalink]

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New post Updated on: 10 Mar 2019, 03:48
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A
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C
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E

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If n is a integer, what is the value of n?
(1) \(n^3\) is a perfect square
(2)\(n^3\) = n

Originally posted by Rubina11 on 08 Mar 2019, 21:19.
Last edited by adkikani on 10 Mar 2019, 03:48, edited 3 times in total.
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Re: If n is an integer, what is the value of n?  [#permalink]

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New post 08 Mar 2019, 21:22
Statement (1): Both n=1 and n=4 satisfy this statement. This statement alone is not
sufficient.
Statement (2): Since n is an integer, the only solutions for n are n= -1,0,1 . This
statement alone is not sufficient.
Statements (1) & (2): Since n^3 is a perfect square, and perfect squares are positive integers, we
must have that n is positive. The only positive solution that satisfies is n^3=n is n=1 . Thus, we
have a definitive answer to the question. The statements together are sufficient.
The correct answer is Choice (C)
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Re: If n is an integer, what is the value of n?  [#permalink]

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New post 09 Mar 2019, 07:57
1
(1) n^3 is a perfect square
It means n is in the form of N^2. Not sufficient
(2)n^3 = n
here n(n^2-1) = 0, n =0, -1, +1. Not sufficient.
Combining Statement 1 &2, we get n can be 0 or 1. So not sufficient.

Answer E


Rubina11 wrote:
If n is an integer, what is the value of n?
(1 n^3 is a perfect square
(2)n^3 = n

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Re: If n is an integer, what is the value of n?  [#permalink]

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New post 09 Mar 2019, 08:50
gmatbusters
As perfect square always positive, n can't be 0.
so in my opinion statement c is sufficient
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Re: If n is an integer, what is the value of n?  [#permalink]

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New post 09 Mar 2019, 09:15
Perfect square is always non-negative.
It can be zero also.


Noshad wrote:
gmatbusters
As perfect square always positive, n can't be 0.
so in my opinion statement c is sufficient


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Re: If n is an integer, what is the value of n?  [#permalink]

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New post 12 Mar 2019, 07:45
chetan2u Bunuel
Can 0 be considered a perfect square?
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New post 12 Mar 2019, 07:52
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Re: If n is an integer, what is the value of n?  [#permalink]

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New post 12 Mar 2019, 11:25
Rubina11 wrote:
If n is a integer, what is the value of n?
(1) \(n^3\) is a perfect square
(2)\(n^3\) = n



This is a value question; so you need a definite value for n.

Statement 1: you can test for 0 and 1; since we are getting 2 values for n; this statement is clearly not sufficient by its own.

Statement 2: you can test for 0 and 1; since we are getting 2 values for n; this statement is clearly not sufficient by its own.

Combining the two statements do not help in any way!! Hence the correct answer is E
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Re: If n is an integer, what is the value of n?   [#permalink] 12 Mar 2019, 11:25
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