It is currently 22 Mar 2018, 16:44

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If n is the square of a positive integer, which of the

Author Message
Intern
Joined: 05 Apr 2008
Posts: 23
If n is the square of a positive integer, which of the [#permalink]

### Show Tags

10 Sep 2008, 11:16
If n is the square of a positive integer, which of the following must be equal to the square of the next positive integer?

a) n^(1/2)+1
b) n+1
c) n^2+1
d) n+2n^(1/2)+1
e) n^2+2n+1

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
SVP
Joined: 17 Jun 2008
Posts: 1504

### Show Tags

10 Sep 2008, 11:21
D.

Say, n = x^2. then, x = sqrt(n).

now ,(x+1)^2 = x^2 + 2x + 1 = n + 2(sqrt(n)) + 1.
Director
Joined: 26 Jul 2007
Posts: 534
Schools: Stern, McCombs, Marshall, Wharton

### Show Tags

10 Sep 2008, 11:34
This is one of those problems where I just pick numbers.

Positive integer = 3
N = 9

3+1 = 4 and 4^2 = 16

Look for the answer that equals 16 when you plug in 9 for N.

You can see it's not A, B, or C in a matter of seconds.

D gives 16 so it correct.

Double check E and in a couple of seconds you can see it too high.

So D it is.
Manager
Joined: 07 Jan 2008
Posts: 69

### Show Tags

10 Sep 2008, 15:04
D

let p be the positive integer
so p^(2) = n
need to find (p+1)^(2)

p^(2) = n => p = n^(1/2)

p+1 ==> n^(1/2) + 1
(p+1)^(2) = (n^(1/2) + 1)^(2)
= n + 1 + 2(n)^(1/2)

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: Math Question   [#permalink] 10 Sep 2008, 15:04
Display posts from previous: Sort by

# If n is the square of a positive integer, which of the

Moderator: chetan2u

 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®.