Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 27 May 2017, 21:37

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Which one of the following numbers is the greatest positive

Author Message
TAGS:

### Hide Tags

Intern
Joined: 24 Apr 2013
Posts: 1
Followers: 0

Kudos [?]: 1 [0], given: 0

Which one of the following numbers is the greatest positive [#permalink]

### Show Tags

12 May 2013, 10:38
1
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

94% (01:26) correct 6% (00:29) wrong based on 82 sessions

### HideShow timer Statistics

Which one of the following numbers is the greatest positive integer x such that 3^x is a factor of 27^5?

(A) 5
(B) 8
(C) 10
(D) 15
(E) 19

[Reveal] Spoiler:
the answer is 15 but all it says is 27^5= (3^3)^5 = 3^15 so 15 is the answer..

Can anyone explain this better? Also am i posting in the right area when i have questions like this?
[Reveal] Spoiler: OA

Last edited by Bunuel on 13 May 2013, 03:51, edited 1 time in total.
Moved to PS forum, renamed the topic and edited the question.
Manager
Status: *Lost and found*
Joined: 25 Feb 2013
Posts: 123
Location: India
Concentration: General Management, Technology
GMAT 1: 640 Q42 V37
GPA: 3.5
WE: Web Development (Computer Software)
Followers: 18

Kudos [?]: 116 [0], given: 14

### Show Tags

12 May 2013, 10:44
I'm new to this site so i'm probably posting in the wrong area. but i have a question that my book gave a horrible explanation on how to solve..

Which one of the following numbers is the greatest positive integer x such that 3^x is a factor of 27^5?

the answer is 15 but all it says is 27^5= (3^3)^5 = 3^15 so 15 is the answer..

Can anyone explain this better? Also am i posting in the right area when i have questions like this?

For the above question, as the solution states $$27^5 = 3^15$$
Now $$3^x$$ being a factor of$$3^15$$ i.e $$3^x$$ is to divide $$3^15$$ with 0 remainder. If the question simply stated the possible range of x, the answer would be {0...15} The greatest value of the set is 15 and if x > 15, then it wouldn't be a factor anymore, it would become a multiple!

Hope this helps!

Regards,
Arpan
_________________

Feed me some KUDOS! *always hungry*

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15493
Followers: 651

Kudos [?]: 210 [0], given: 0

Re: Which one of the following numbers is the greatest positive [#permalink]

### Show Tags

08 Jun 2015, 14:50
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.
_________________
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 9125
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Followers: 445

Kudos [?]: 2875 [0], given: 169

Re: Which one of the following numbers is the greatest positive [#permalink]

### Show Tags

10 Jun 2015, 21:30
Hi All,

While this question is a couple of years old, it DOES showcase a particular Exponent-rule 'concept' that you're almost certain to face on the Official GMAT: re-writing a "base" when dealing with exponents...

Any time the 'base value' is a positive integer that is not 1 and is not prime, it has the potential to be rewritten...

Here, we're dealing with 27^5....

27 = (3)(3)(3) = 3^3, so we can re-write that base as...

(3^3)^5

Here, we have a 'power to a power', which means we can multiply the two exponent values....

(3)(5) = 15

So...(3^3)^5 = 3^15

This is just one of several Exponent rules that you need to know for Test Day. While you're not going to be tested on every rule, having the overall knowledge and the ability to manipulate the numbers will help you to pick up the handful of Exponent rule questions you'll face on the GMAT.

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

# Rich Cohen

Co-Founder & GMAT Assassin

# Special Offer: Save \$75 + GMAT Club Tests

60-point improvement guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Director
Status: Tutor - BrushMyQuant
Joined: 05 Apr 2011
Posts: 614
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: 108

Kudos [?]: 653 [0], given: 57

Re: Which one of the following numbers is the greatest positive [#permalink]

### Show Tags

14 Aug 2015, 14:09
thank you
Which one of the following numbers is the greatest positive integer x such that 3^x is a factor of 27^5?

(A) 5
(B) 8
(C) 10
(D) 15
(E) 19

[Reveal] Spoiler:
the answer is 15 but all it says is 27^5= (3^3)^5 = 3^15 so 15 is the answer..

Can anyone explain this better? Also am i posting in the right area when i have questions like this?

_________________

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

Manager
Joined: 10 Jun 2015
Posts: 128
Followers: 1

Kudos [?]: 26 [0], given: 0

Re: Which one of the following numbers is the greatest positive [#permalink]

### Show Tags

14 Aug 2015, 23:17
Which one of the following numbers is the greatest positive integer x such that 3^x is a factor of 27^5?

(A) 5
(B) 8
(C) 10
(D) 15
(E) 19

[Reveal] Spoiler:
the answer is 15 but all it says is 27^5= (3^3)^5 = 3^15 so 15 is the answer..

Can anyone explain this better? Also am i posting in the right area when i have questions like this?

27 = 3*3*3= 3^3
27^5 =(3^3)^5
=3^15
we have to find the greatest positive integer value for x
when x=15, it divides exactly once and that is the least positive integer value of the quotient
therefore, the correct option is D
Re: Which one of the following numbers is the greatest positive   [#permalink] 14 Aug 2015, 23:17
Similar topics Replies Last post
Similar
Topics:
6 which of the following could be the greatest common factor of positive 3 28 Jan 2017, 07:50
6 Which of the following distribution of numbers has the greatest standa 6 19 May 2016, 20:38
1 Which of the following ranges of numbers includes the greatest number 1 14 Apr 2016, 10:57
Which of the following numbers has the greatest number of distinct 4 18 May 2017, 20:01
4 If n is a positive integer, which one of the following numbers 3 22 Feb 2016, 23:43
Display posts from previous: Sort by