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

 It is currently 18 Apr 2019, 09:54

### 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

# Which of the following expressions has the largest value?

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

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 54369
Which of the following expressions has the largest value?  [#permalink]

### Show Tags

23 Jun 2015, 23:29
1
3
00:00

Difficulty:

5% (low)

Question Stats:

81% (01:08) correct 19% (01:13) wrong based on 224 sessions

### HideShow timer Statistics

Which of the following expressions has the largest value?

A. $$(3^4)^{13}$$

B. $$((3^{30})^{12})^{\frac{1}{10}}$$

C. $$3^{30}+3^{30}+3^{30}$$

D. $$4*3^{51}$$

E. $$(3^{100})^{\frac{1}{2}}$$

Kudos for a correct solution.

_________________
Current Student
Joined: 24 Dec 2014
Posts: 102
Concentration: Strategy, General Management
GMAT 1: 750 Q50 V41
Re: Which of the following expressions has the largest value?  [#permalink]

### Show Tags

23 Jun 2015, 23:41
1
D

a: 3^52
b:3^36
c:3^31
d:4*3^51
e:3^50

Between a and d - A: 3*3^51 D: 4*3^51, hence D>A.
Intern
Joined: 13 Nov 2014
Posts: 44
Location: United States (IN)
Concentration: Strategy, General Management
Schools: Mendoza '18 (M\$)
GMAT 1: 720 Q48 V42
GRE 1: Q163 V162
WE: Information Technology (Consulting)
Re: Which of the following expressions has the largest value?  [#permalink]

### Show Tags

24 Jun 2015, 02:40
Simplifying all the options we get the following

A) 3^52
B) 3^36
C) 3^31
D) 3^52 + 3^51
E) 3^50

Manager
Joined: 26 Dec 2012
Posts: 146
Location: United States
Concentration: Technology, Social Entrepreneurship
WE: Information Technology (Computer Software)
Re: Which of the following expressions has the largest value?  [#permalink]

### Show Tags

24 Jun 2015, 10:21
Arranging Option we get
A = (3^51)*3
B=3^ 30*12/10=3^12*3=3^36
C= 3^31
D = (3^51)*4
E = 3^50
Option B & C are too small to be compared, A>E now final comparison between A and D. and D >A
Hence answer is D
Thanks,
Director
Joined: 21 May 2013
Posts: 656
Re: Which of the following expressions has the largest value?  [#permalink]

### Show Tags

25 Jun 2015, 10:21
Bunuel wrote:
Which of the following expressions has the largest value?

A. $$(3^4)^{13}$$

B. $$((3^{30})^{12})^{\frac{1}{10}}$$

C. $$3^{30}+3^{30}+3^{30}$$

D. $$4*3^{51}$$

E. $$(3^{100})^{\frac{1}{2}}$$

Kudos for a correct solution.

Let us reduce the options to the powers of 3
A=3^52
B=3^36
C=3^31
D=4*3^51
E=3^20

Between A and D, A=(3^51)*3 and D=(3^51)*4
Queens MBA Thread Master
Joined: 24 Oct 2012
Posts: 168
Concentration: Leadership, General Management
Re: Which of the following expressions has the largest value?  [#permalink]

### Show Tags

26 Jun 2015, 07:28
Bunuel wrote:
Which of the following expressions has the largest value?

A. $$(3^4)^{13}$$

B. $$((3^{30})^{12})^{\frac{1}{10}}$$

C. $$3^{30}+3^{30}+3^{30}$$

D. $$4*3^{51}$$

E. $$(3^{100})^{\frac{1}{2}}$$

Kudos for a correct solution.

A -> 3^52
B -> 3^36
c -> 3^91
D -> (3+1) 3^51 = 3^52 + 3^51
E -> 3^50

Between 3^91 and 3^52 + 3^51 i think 3^52 + 3^51 is bigger. Hence Option D
Manager
Joined: 13 Jun 2012
Posts: 204
Location: United States
WE: Supply Chain Management (Computer Hardware)
Re: Which of the following expressions has the largest value?  [#permalink]

### Show Tags

26 Jun 2015, 08:13
I will go with D. Needs bit of rearrangement.
Intern
Joined: 24 Aug 2017
Posts: 2
Re: Which of the following expressions has the largest value?  [#permalink]

### Show Tags

25 Aug 2017, 00:02
i know this seems like a dumb question but how do you get 3^30 +3^30+3^30 = 3^31?
Math Expert
Joined: 02 Sep 2009
Posts: 54369
Re: Which of the following expressions has the largest value?  [#permalink]

### Show Tags

25 Aug 2017, 00:04
lunarchick wrote:
i know this seems like a dumb question but how do you get 3^30 +3^30+3^30 = 3^31?

$$3^{30} +3^{30}+3^{30} = 3*3^{30}=3^{30+1}=3^{31}$$.

Hope it's clear.
_________________
Intern
Joined: 24 Aug 2017
Posts: 2
Re: Which of the following expressions has the largest value?  [#permalink]

### Show Tags

25 Aug 2017, 00:10
Bunuel
thank you so much. I feel so foolish...it was so easy
Manager
Joined: 30 Dec 2016
Posts: 235
GMAT 1: 650 Q42 V37
GPA: 4
WE: Business Development (Other)
Re: Which of the following expressions has the largest value?  [#permalink]

### Show Tags

28 Aug 2017, 08:29
Each option can be simplified as power of 3

A) 3^52
B) 3^36
C) 3^31
D) 3^52 + 3^51
E) 3^50
_________________
Regards
SandySilva

____________
Please appreciate the efforts by pressing +1 KUDOS (:
Re: Which of the following expressions has the largest value?   [#permalink] 28 Aug 2017, 08:29
Display posts from previous: Sort by

# Which of the following expressions has the largest value?

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

 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®.