Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 06 Jul 2015, 00:15

### 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
TAGS:
Intern
Joined: 05 Apr 2008
Posts: 24
Followers: 0

Kudos [?]: 0 [0], given: 0

If n is the square of a positive integer, which of the [#permalink]  10 Sep 2008, 10:16
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
SVP
Joined: 17 Jun 2008
Posts: 1570
Followers: 12

Kudos [?]: 203 [0], given: 0

Re: Math Question [#permalink]  10 Sep 2008, 10:21
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: 541
Schools: Stern, McCombs, Marshall, Wharton
Followers: 5

Kudos [?]: 121 [0], given: 0

Re: Math Question [#permalink]  10 Sep 2008, 10:34
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: 76
Followers: 1

Kudos [?]: 11 [0], given: 0

Re: Math Question [#permalink]  10 Sep 2008, 14:04
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)
Re: Math Question   [#permalink] 10 Sep 2008, 14:04
Similar topics Replies Last post
Similar
Topics:
If n and y are positive integers and 450y=n^3 which of the 1 15 May 2008, 21:51
If n and y are positive integers and 450y = n^3, which is 2 24 Feb 2008, 15:49
If n and y are positive integers and 450y = (n^3), which of 10 10 Dec 2007, 21:34
If n and y are positive integers and 450y = n^3, which of 7 21 May 2006, 13:02
If n is a positive integer and is not the square of any 7 18 Feb 2006, 15:19
Display posts from previous: Sort by