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

 It is currently 23 Sep 2018, 20:52

### 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

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

# Is the positive square root of x an integer?

Author Message
TAGS:

### Hide Tags

Intern
Joined: 01 Sep 2009
Posts: 6
Is the positive square root of x an integer?  [#permalink]

### Show Tags

Updated on: 29 Dec 2013, 03:09
1
00:00

Difficulty:

5% (low)

Question Stats:

86% (00:39) correct 14% (00:38) wrong based on 147 sessions

### HideShow timer Statistics

Is the positive square root of x an integer?

(1) x = n^4 and n is an integer
(2) x = 16

Request for feedback on GMAT review Edition12 DS Q98
I have questions on the possible sufficiency of statement 1, because:

If n is a non zero number, then sqrt X is an integer
But is n is zero, then the sqrt of 0 is undefined
Which would make the statement unsufficient

Why is this statement incorrect?

Originally posted by blackcrow on 29 Dec 2013, 02:13.
Last edited by Bunuel on 29 Dec 2013, 03:09, edited 1 time in total.
Renamed the topic and edited the question.
Math Expert
Joined: 02 Sep 2009
Posts: 49323
Re: Is the positive square root of x an integer?  [#permalink]

### Show Tags

29 Dec 2013, 03:13
1
blackcrow wrote:
Is the positive square root of x an integer?

(1) x = n^4 and n is an integer
(2) x = 16

Request for feedback on GMAT review Edition12 DS Q98
I have questions on the possible sufficiency of statement 1, because:

If n is a non zero number, then sqrt X is an integer
But is n is zero, then the sqrt of 0 is undefined
Which would make the statement unsufficient

Why is this statement incorrect?

Is the positive square root of x an integer?

Is $$\sqrt{x}=integer$$?

(1) x = n^4 and n is an integer --> $$\sqrt{x}=\sqrt{n^4}=n^2=integer^2=integer$$. Sufficient.

(2) x = 16 --> $$\sqrt{16}=4$$. Sufficient.

As for your doubt: the square root from zero is not undefined. $$\sqrt{0}=0$$ because 0^2=0.

Hope it helps.

_________________
Non-Human User
Joined: 09 Sep 2013
Posts: 8162
Re: Is the positive square root of x an integer?  [#permalink]

### Show Tags

01 Jul 2018, 18:25
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: Is the positive square root of x an integer? &nbs [#permalink] 01 Jul 2018, 18:25
Display posts from previous: Sort by

# Is the positive square root of x an integer?

## Events & Promotions

 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®.