It is currently 29 Sep 2020, 08:29

### 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

# The largest power of 3 that is a factor of

 Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Founder
Joined: 18 Apr 2015
Posts: 13406
Followers: 292

Kudos [?]: 3406 [0], given: 12285

The largest power of 3 that is a factor of [#permalink]  18 Sep 2018, 10:28
Expert's post
00:00

Question Stats:

63% (00:48) correct 36% (00:58) wrong based on 44 sessions

 Quantity A Quantity B The largest power of 3that is a factor of $$5*3^2 + 3^2*2$$ The largest power of 3that is a factor of $$3*2 + 7*3$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.

GRE Instructor
Joined: 10 Apr 2015
Posts: 3840
Followers: 149

Kudos [?]: 4506 [1] , given: 69

Re: The largest power of 3 that is a factor of [#permalink]  19 Sep 2018, 08:58
1
KUDOS
Expert's post
Carcass wrote:
 Quantity A Quantity B The largest power of 3that is a factor of $$5*3^2 + 3^2*2$$ The largest power of 3that is a factor of $$3*2 + 7*3$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

QUANTITY A: (5)(3²) + (3²)(2)
Factor out the 3² to get: 3²(5 + 2)
Evaluate to get: 3²(7)
We can see that is the largest power of 3 that is a factor of (5)(3²) + (3²)(2)

QUANTITY B: (3)(2) + (7)(3)
Factor out the 3 to get: 3(2 + 7)
Evaluate to get: 3(9)
Evaluate to get: 27
Rewrite as: 3³
We can see that is the largest power of 3 that is a factor of (3)(2) + (7)(3)

3³ is greater than 3²

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com
If you enjoy my solutions, you'll like my GRE prep course.

Sign up for GRE Question of the Day emails

Re: The largest power of 3 that is a factor of   [#permalink] 19 Sep 2018, 08:58
Display posts from previous: Sort by

# The largest power of 3 that is a factor of

 Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.