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

It is currently 19 Sep 2018, 06:00

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

If 2^A = 3 and 2^B = 5, then 2^(2A + B) =

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49258
If 2^A = 3 and 2^B = 5, then 2^(2A + B) =  [#permalink]

Show Tags

New post 23 Aug 2018, 23:22
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

72% (00:32) correct 28% (02:07) wrong based on 25 sessions

HideShow timer Statistics

Manager
Manager
User avatar
G
Joined: 18 Jul 2018
Posts: 190
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Premium Member CAT Tests
Re: If 2^A = 3 and 2^B = 5, then 2^(2A + B) =  [#permalink]

Show Tags

New post 23 Aug 2018, 23:29
\(2^{2A+B}\) can be written as \(2^{2A}\)\(2^B\) = \(2^{{A}2}2^B\) = \(3^2\)5 = 9*5 = 45.

C is the answer.
Director
Director
User avatar
P
Status: Learning stage
Joined: 01 Oct 2017
Posts: 848
WE: Supply Chain Management (Energy and Utilities)
Premium Member CAT Tests
If 2^A = 3 and 2^B = 5, then 2^(2A + B) =  [#permalink]

Show Tags

New post 23 Aug 2018, 23:30
Bunuel wrote:
If 2^A = 3 and 2^B = 5, then 2^(2A + B) =

A. 11
B. 30
C. 45
D. 75
E. 225


\(2^{2A + B}=2^{2A}*2^B=(2^A)^2*2^B=3^2*5=9*5=45\)

Ans. (C)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Director
Director
User avatar
G
Joined: 31 Oct 2013
Posts: 571
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
If 2^A = 3 and 2^B = 5, then 2^(2A + B) =  [#permalink]

Show Tags

New post 24 Aug 2018, 03:34
Bunuel wrote:
If 2^A = 3 and 2^B = 5, then 2^(2A + B) =

A. 11
B. 30
C. 45
D. 75
E. 225



Given ,

2^A = 3

2^B = 5.

\(2^(2A + B)\)

= \(2^{(2A)} 2^B\)

=\((2^A)^2 *5\)

= \(3^2 *5\)

= 45.

The best answer is C
.
If 2^A = 3 and 2^B = 5, then 2^(2A + B) = &nbs [#permalink] 24 Aug 2018, 03:34
Display posts from previous: Sort by

If 2^A = 3 and 2^B = 5, then 2^(2A + B) =

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

Events & Promotions

PREV
NEXT


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

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®.