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

It is currently 18 Oct 2019, 02:22

Close

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Is n an integer? (1) n^2 is an integer (2) n^(1/2) is an

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58438
Re: Is n an integer? (1) n^2 is an integer (2) n^(1/2) is an  [#permalink]

Show Tags

New post 28 Jan 2017, 11:17
alice7 wrote:
Hi, Bunel how could n2 could be 3 in your assumption. I think it has to be 1,2,4,9 which is sufficient.


Why cannot n^2 be 3? In this case \(n=\sqrt{3}\) or \(-\sqrt{3}\), so in this case n is an irrational number.

For more on number theory (for example on irrational numbers) check the following link: https://gmatclub.com/forum/math-number- ... 88376.html

Hope it helps.
_________________
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2815
Re: Is n an integer? (1) n^2 is an integer (2) n^(1/2) is an  [#permalink]

Show Tags

New post 13 Dec 2017, 10:49
vwjetty wrote:
Is n an integer?

(1) \(n^2\) is an integer

(2) \(\sqrt{n}\) is an integer


We need to determine whether n is an integer.

Statement One Alone:

n^2 is an integer.

If n^2 is an integer, n may or may not be an integer. For instance, if n^2 = 4, then n is an integer (since n = 2 or -2). However, if n^2 = 5, then n is not an integer (since n = √5 or -√5). Statement one is not sufficient to answer the question.

Statement Two Alone:

√n is an integer.

In order for √n to be an integer, n must be an integer. This is because n = (√n)^2, and any integer squared is also an integer. Statement two is sufficient to answer the question.

Answer: B
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

CEO
CEO
User avatar
D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2978
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
Re: Is n an integer? (1) n^2 is an integer (2) n^(1/2) is an  [#permalink]

Show Tags

New post 09 Oct 2018, 05:11
vwjetty wrote:
Is n an integer?

(1) \(n^2\) is an integer

(2) \(\sqrt{n}\) is an integer


A proper way to answer any DS question

Check the video solution of this question

Like the youtube video and subscribe to page if you find useful :)


_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
GMAT Club Bot
Re: Is n an integer? (1) n^2 is an integer (2) n^(1/2) is an   [#permalink] 09 Oct 2018, 05:11

Go to page   Previous    1   2   [ 23 posts ] 

Display posts from previous: Sort by

Is n an integer? (1) n^2 is an integer (2) n^(1/2) is an

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





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne