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

It is currently 15 Oct 2019, 11:54
Register
GMAT Club Tests
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
CLICK HERE TO HIDE/SHOW EVENTS

If (n+12)^2 is divisible by n, where n is a natural number

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
  Sort by Date Sort by Kudos  
Search for:
 
Print view
First unread post
Author Message
TAGS:

Hide Tags

Find Similar Topics 
NUS School Moderator
avatar
V
Joined: 18 Jul 2018
Posts: 1024
Location: India
Concentration: Finance, Marketing
Schools: Cambridge "21, ISB '21, NUS '21, Erasmus '21
WE: Engineering (Energy and Utilities)
Reviews Badge
If (n+12)^2 is divisible by n, where n is a natural number  [#permalink]

Show Tags

New post 29 Sep 2018, 19:15
4
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

55% (01:47) correct 45% (01:58) wrong based on 62 sessions

HideShow timer Statistics

If \((n+12)^2\) is divisible by n, where n is a natural number. How many values can take?

a) 4
b) 6
c) 12
d) 15
e) 22
Spoiler: OA

_________________
Press +1 Kudos If my post helps!
Signature Read More
Current Student
avatar
B
Joined: 22 Jun 2018
Posts: 28
Location: India
Schools: IIMA PGPX"20 (A), IIMB EPGP"20 (A), IIMC PGPEX"20 (A)
GMAT 1: 730 Q50 V39
GPA: 4
WE: Research (Telecommunications)
Re: If (n+12)^2 is divisible by n, where n is a natural number  [#permalink]

Show Tags

New post 29 Sep 2018, 19:43
2
On expansion:- (n+12)^2 = n^2 + 24n + 144

Now [n^2 + 24n + 144] /n = n + 24 + 144/n

Here = 144 = 2^4 X 3^2
Thus 144 has (4+1)( 2+1)= 15 factors.

So n can be any one of the factors of 144 to fully divide the expression.

So n can take 15 values.
Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 7957
Reviews Badge
Top Member of the Month
Re: If (n+12)^2 is divisible by n, where n is a natural number  [#permalink]

Show Tags

New post 29 Sep 2018, 20:14
1
Afc0892 wrote:
If \((n+12)^2\) is divisible by n, where n is a natural number. How many values can take?

a) 4
b) 6
c) 12
d) 15
e) 22


\((n+12)^2\) is divisible by n or \(n^2+24n+144\) is divisible by n..
n^2+24n are clearly divisible by n, so 144 also must be divisible by n..
So n can be one of the factors of 144..
\(144=12*12=2^4*3^2\)
Number of factors = (4+1)(2+1)= 5*3 = 15

D
_________________
1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html


GMAT Expert
Signature Read More
Director
Director
User avatar
V
Joined: 27 May 2012
Posts: 901
Re: If (n+12)^2 is divisible by n, where n is a natural number  [#permalink]

Show Tags

New post 13 May 2019, 02:05
Chethan92 wrote:
If \((n+12)^2\) is divisible by n, where n is a natural number. How many values can take?

a) 4
b) 6
c) 12
d) 15
e) 22



Seems as though there is an n missing from the question?
_________________
- Stne
Signature Read More
GMAT Club Bot
Re: If (n+12)^2 is divisible by n, where n is a natural number   [#permalink] 13 May 2019, 02:05
Print view
First unread post
Display posts from previous: Sort by

If (n+12)^2 is divisible by n, where n is a natural number

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

Moderators: chetan2u, Bunuel, VeritasKarishma, Gladiator59, generis

Search for:





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

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions