GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 18 Mar 2019, 20:56

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

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

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Intern
Status: students
Joined: 08 Mar 2019
Posts: 21
GPA: 3.9
WE: Account Management (Accounting)
If n is an integer, what is the value of n?  [#permalink]

### Show Tags

Updated on: 10 Mar 2019, 03:48
3
00:00

Difficulty:

75% (hard)

Question Stats:

30% (01:25) correct 70% (01:12) wrong based on 57 sessions

### HideShow timer Statistics

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.
Manager
Status: Manager
Joined: 02 Nov 2018
Posts: 95
Location: Bangladesh
Re: If n is an integer, what is the value of n?  [#permalink]

### Show Tags

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)
_________________

Give a kudos if u find my post helpful. kudos motivates active discussion

Senior DS Moderator
Joined: 27 Oct 2017
Posts: 1218
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
Re: If n is an integer, what is the value of n?  [#permalink]

### Show Tags

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

_________________
Manager
Status: Manager
Joined: 02 Nov 2018
Posts: 95
Location: Bangladesh
Re: If n is an integer, what is the value of n?  [#permalink]

### Show Tags

09 Mar 2019, 08:50
gmatbusters
As perfect square always positive, n can't be 0.
so in my opinion statement c is sufficient
_________________

Give a kudos if u find my post helpful. kudos motivates active discussion

Senior DS Moderator
Joined: 27 Oct 2017
Posts: 1218
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
Re: If n is an integer, what is the value of n?  [#permalink]

### Show Tags

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

Posted from my mobile device
_________________
Manager
Joined: 23 Aug 2017
Posts: 83
Re: If n is an integer, what is the value of n?  [#permalink]

### Show Tags

12 Mar 2019, 07:45
chetan2u Bunuel
Can 0 be considered a perfect square?
Math Expert
Joined: 02 Sep 2009
Posts: 53657
Re: If n is an integer, what is the value of n?  [#permalink]

### Show Tags

12 Mar 2019, 07:52
Debashis Roy wrote:
chetan2u Bunuel
Can 0 be considered a perfect square?

Yes. A perfect square, is an integer that is the square of an integer. For example 16=4^2, is a perfect square. Since 0=0^2 then 0 is a perfect square.
_________________
Director
Joined: 12 Feb 2015
Posts: 761
Re: If n is an integer, what is the value of n?  [#permalink]

### Show Tags

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
_________________

"Please hit +1 Kudos if you like this post"

_________________
Manish

"Only I can change my life. No one can do it for me"

Re: If n is an integer, what is the value of n?   [#permalink] 12 Mar 2019, 11:25
Display posts from previous: Sort by

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

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.