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

It is currently 24 Jun 2016, 20:30
GMAT Club Tests

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If 2^2n + 2^2n + 2^2n + 2^2n = 4^24, then n =

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

Hide Tags

Expert Post
Moderator
Moderator
User avatar
Joined: 01 Sep 2010
Posts: 2933
Followers: 675

Kudos [?]: 5356 [0], given: 941

If 2^2n + 2^2n + 2^2n + 2^2n = 4^24, then n = [#permalink]

Show Tags

New post 11 Sep 2012, 17:55
Expert's post
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

74% (01:46) correct 26% (00:54) wrong based on 93 sessions

HideShow timer Statistics


Last edited by Bunuel on 12 Sep 2012, 00:43, edited 1 time in total.
Edited the question.
Director
Director
User avatar
Status: Tutor - BrushMyQuant
Joined: 05 Apr 2011
Posts: 559
Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 570 Q49 V19
GMAT 2: 700 Q51 V31
GPA: 3
WE: Information Technology (Computer Software)
Followers: 89

Kudos [?]: 467 [0], given: 53

Re: If 2^2n + 2^2n + 2^2n + 2^2n = 4^24, then n = [#permalink]

Show Tags

New post 11 Sep 2012, 20:30
2^2n + 2^2n + 2^2n + 2^2n = 4^24

=> 4 x 2^2n = 4^24 = 2^48

=> 2^2 x 2^2n = 2^48

=> 2^(2n+2) = 2^48

=> 2n+2 = 48=> n =23

So. Answer will be D.

Hope it helps!
_________________

Ankit

Check my Tutoring Site -> Brush My Quant

GMAT Quant Tutor
How to start GMAT preparations?
How to Improve Quant Score?
Gmatclub Topic Tags
Check out my GMAT debrief

How to Solve :
Statistics || Reflection of a line || Remainder Problems || Inequalities

Expert Post
3 KUDOS received
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 6666
Location: Pune, India
Followers: 1827

Kudos [?]: 11091 [3] , given: 218

Re: If 2^2n + 2^2n + 2^2n + 2^2n = 4^24, then n = [#permalink]

Show Tags

New post 11 Sep 2012, 22:38
3
This post received
KUDOS
Expert's post
carcass wrote:
If 2^2n + 2^2n + 2^2n + 2^2n = 4^24, then n =

1) 3

2) 6

3)12

4)23

5)24

A tough question.

:)


Not really! The takeaway from this question is: when you have addition/subtraction between terms with exponents, you need to think about taking common. Also, in all exponent questions, consider making the base of every term same, if possible.

\(2^{2n} + 2^{2n} + 2^{2n} + 2^{2n} = 4^{24}\)

Taking \(2^{2n}\) common,

\(2^{2n}(1 + 1 + 1 + 1) = 2^{48}\)

\(2^{2n}*4 = 2^{48}\)
\(2^{2n}*2^2 = 2^{48}\)
\(2^{2n+2} = 2^{48}\)

Now simply put 2n + 2 = 48
n = 23
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 10160
Followers: 480

Kudos [?]: 124 [0], given: 0

Premium Member
Re: If 2^2n + 2^2n + 2^2n + 2^2n = 4^24, then n = [#permalink]

Show Tags

New post 30 Nov 2013, 11:46
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1858
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 36

Kudos [?]: 1562 [0], given: 193

Re: If 2^2n + 2^2n + 2^2n + 2^2n = 4^24, then n = [#permalink]

Show Tags

New post 26 Feb 2014, 01:32
4. 2^2n = 4^24

4. 4^n = 4^24

4^(n+1) = 4^24

Equating powers, n+1=24; n=23 Answer = D
_________________

Kindly press "+1 Kudos" to appreciate :)

Re: If 2^2n + 2^2n + 2^2n + 2^2n = 4^24, then n =   [#permalink] 26 Feb 2014, 01:32
    Similar topics Author Replies Last post
Similar
Topics:
5 Experts publish their posts in the topic If 4^{2x} + 2^{4x} + 4^{2x} + 2^{4x} = 4^24, what is the value of x? Bunuel 5 01 Sep 2015, 22:24
8 Experts publish their posts in the topic ((n-1)!+n!+(n+1)!)/n! jahanafsana 10 08 Mar 2015, 18:25
13 Experts publish their posts in the topic For which of the following values of n is (100+n)/n NOT an Bunuel 12 23 Jul 2012, 04:19
12 Experts publish their posts in the topic If (n-2)! = (n! + (n-1)!)/99, and n is a positive integer, then n=? gettinit 14 21 Nov 2010, 19:21
Experts publish their posts in the topic A sequence is defined as follows: a(n)= (n)/(n+1) If n is a vishalgc 8 12 Oct 2008, 06:01
Display posts from previous: Sort by

If 2^2n + 2^2n + 2^2n + 2^2n = 4^24, then n =

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


cron

GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.