NEW HERE? LEARN MORE
closeclose
Last visit was: 23 Apr 2024, 20:13 It is currently 23 Apr 2024, 20:13
Decision Tracker
My Rewards
New posts
New comers' posts

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

5(2^4)(3^32) =

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
G
mikemcgarry
Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 4448
Own Kudos [?]: 28569 [13]
Given Kudos: 130
5(2^4)(3^32) = [#permalink] New post   16 Jan 2015, 11:33
4
Kudos
9
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

67% (01:57) correct 33% (02:12) wrong based on 211 sessions
Hide Show timer Statistics
\(5(2^4)(3^{32})\) =
(A) \(5(6^{36})\)
(B) \((10^4)(3^{32})\)
(C) \((3^{34}) + (3^{32})\)
(D) \((3^{35}) - (3^{33})\)
(E) \((3^{36}) - (3^{32})\)

For a set of challenging GMAT problems on exponents and roots, as well as the OE for this problem, see:
https://magoosh.com/gmat/2014/challengin ... and-roots/

Mike :-)
ShowHide Answer
Official Answer
E
avatar
Vaibhav21
Intern
Intern
Joined: 01 Jan 2015
Posts: 48
Own Kudos [?]: 13 [0]
Given Kudos: 7
Send PM
Re: 5(2^4)(3^32) = [#permalink] New post   16 Jan 2015, 11:58
E.
Ques - 5 X (2^4=16) X 3^32 = 80 X 3^32
E = 3^32 x (3^4 - 1) = 80 x 3^32
User avatar
B
Celestial09
Retired Moderator
Joined: 02 Apr 2014
Status:I Declare War!!!
Posts: 218
Own Kudos [?]: 122 [2]
Given Kudos: 546
Location: United States
Concentration: Finance, Economics
GMAT Date: 03-18-2015
WE:Asset Management (Investment Banking)
Send PM
GMAT ToolKit User
Re: 5(2^4)(3^32) = [#permalink] New post   16 Jan 2015, 13:11
1
Kudos
1
Bookmarks
IMO its E
firstly in now way we could use or modify 3^32
secondly a trick of using negative remainder.
so i used 2^4 with 5.. though after spending 1 min on it that its 80 and hence divisible by 3^4 as negative remainder of -1
so its 81-1... which is needed to be used
now here i got confused between D AND E
i did eliminated D simply because of its odd powers which didn't gave much sense to me as its a 2mins time constraint.
so hence i arrived at E
81 is 3^4 so no use of odd powers else result would be negative elsewise.

this is my first time i solved a question and gave a bit explanation too.

kudos will entice me to work hard...
User avatar
B
Celestial09
Retired Moderator
Joined: 02 Apr 2014
Status:I Declare War!!!
Posts: 218
Own Kudos [?]: 122 [0]
Given Kudos: 546
Location: United States
Concentration: Finance, Economics
GMAT Date: 03-18-2015
WE:Asset Management (Investment Banking)
Send PM
GMAT ToolKit User
Re: 5(2^4)(3^32) = [#permalink] New post   17 Jan 2015, 10:09
Hello!
Another way out

5(2^4)(s^32)= 80(81^8)
as 3^4 is 81

80 can be written as 81-1
(81-1)(81^8)
(81^9)-81^8
3^36-3^32

Hence E
this is the simplest i could figured out

kindly share that binomial eq in imp for gmat?
avatar
PareshGmat
SVP
SVP
Joined: 27 Dec 2012
Status:The Best Or Nothing
Posts: 1562
Own Kudos [?]: 7207 [4]
Given Kudos: 193
Location: India
Concentration: General Management, Technology
WE:Information Technology (Computer Software)
Send PM
Re: 5(2^4)(3^32) = [#permalink] New post   19 Jan 2015, 01:38
3
Kudos
1
Bookmarks
Answer = (E) \((3^{36}) - (3^{32})\)

\(5 * 2^4 * 3^{32}\)

\(= 80 * 3^{32}\)

\(= (81 - 1) * 3^{32}\)

\(= 3^{36} - 3^{32}\)
User avatar
pacifist85
Senior Manager
Senior Manager
Joined: 07 Apr 2014
Status:Math is psycho-logical
Posts: 340
Own Kudos [?]: 386 [0]
Given Kudos: 169
Location: Netherlands
GMAT Date: 02-11-2015
WE:Psychology and Counseling (Other)
Re: 5(2^4)(3^32) = [#permalink] New post   01 Mar 2015, 04:36
Yep I also did it similarly.

Starting with the question stem:
5 * 2^4 * 3^32
5 * 2^1 * 2^3 * 3^32
10 * 2^3 * 3^32
80 * 3^32

Then moving on to the answer choices, A and B are relatively easy to eliminate. Plus, the fact that we see additions and subtractions should alert as to the possibility of taking a common factor and creating a multiplication as an effect.

I started witd D which resulted in 3^33 * 8. Close, but not what I was looking for. So I moved to E, which results in:
3^36 - 3^32
3^32 (3^4 - 1)
3^32 (81 - 1)
3^32 * 80, which is what we are looking for. So, ANS E
User avatar
Beat720
Intern
Intern
Joined: 22 Dec 2014
Posts: 26
Own Kudos [?]: 47 [1]
Given Kudos: 182
Send PM
GMAT ToolKit User
Re: 5(2^4)(3^32) = [#permalink] New post   12 Jul 2015, 11:19
1
Kudos
\(5 * 2^4 * 3^{32}\)

\(= 10*8 * 3^{32}\)

\(= (3^2 + 1)*(3^2-1) * 3^{32}\)

\(= (3^4 - 1) * 3^{32}\)

\(= 3^{36} - 3^{32}\)[/quote]

--> Answer E
User avatar
G
KanishkM
Director
Director
Joined: 09 Mar 2018
Posts: 783
Own Kudos [?]: 453 [1]
Given Kudos: 123
Location: India
Schools: DeGroote'21 Desautels '21 NUS '21
Send PM
Re: 5(2^4)(3^32) = [#permalink] New post   12 Jan 2019, 07:51
1
Bookmarks
mikemcgarry wrote:
\(5(2^4)(3^{32})\) =
(A) \(5(6^{36})\)
(B) \((10^4)(3^{32})\)
(C) \((3^{34}) + (3^{32})\)
(D) \((3^{35}) - (3^{33})\)
(E) \((3^{36}) - (3^{32})\)



Quite an intriguing one.

\(5(2^4)(3^{32})\) = 80 * \((3^{32})\)

Now just browsing over the options you can get the value as E.
(A) \(5(6^{36})\)------------------------------------> 5* 2^{36} *3^36
(B) \((10^4)(3^{32})\)-----------------------------> wont give 80
(C) \((3^{34}) + (3^{32})\)-----------------------> wont give 80
(D) \((3^{35}) - (3^{33})\)------------------------> wont give 80
(E) \((3^{36}) - (3^{32})\)------------------------> took \(3^{32}\) common, giving \(3^4\)- 1 =80

Answer E.
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32633
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: 5(2^4)(3^32) = [#permalink] New post   21 Jun 2023, 11:54
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 Club Bot
gmatclubot
Re: 5(2^4)(3^32) = [#permalink]
21 Jun 2023, 11:54
Moderators:
Bunuel
Math Expert
92883 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

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