GMAT Changed on April 16th - Read about the latest changes here

It is currently 24 Apr 2018, 01:34

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If 2^5, 3^3, and 13^2 are all factors of the product of 936 and w wher

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 44649
If 2^5, 3^3, and 13^2 are all factors of the product of 936 and w wher [#permalink]

Show Tags

New post 25 Apr 2016, 03:54
Expert's post
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

79% (01:40) correct 21% (01:41) wrong based on 111 sessions

HideShow timer Statistics

If 2^5, 3^3, and 13^2 are all factors of the product of 936 and w where w is a positive integer, what is the smallest possible value of w?

A. 26
B. 39
C. 42
D. 65
E. 156
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

BSchool Forum Moderator
User avatar
D
Joined: 12 Aug 2015
Posts: 2585
GRE 1: 323 Q169 V154
GMAT ToolKit User Premium Member
Re: If 2^5, 3^3, and 13^2 are all factors of the product of 936 and w wher [#permalink]

Show Tags

New post 25 Apr 2016, 06:11
Intern
Intern
avatar
Joined: 24 Mar 2016
Posts: 4
Re: If 2^5, 3^3, and 13^2 are all factors of the product of 936 and w wher [#permalink]

Show Tags

New post 28 Apr 2016, 05:01
stonecold wrote:
Here 156 has three two's
two three's
and one 13
rest of them must be in w
so w= 13*3*4 = 156

Smash E


E) is the right answer, but don't you mean 936 in the first sentence?

936= 2^3 *3^2 *13^1

So what you need is 2 more 2's, 1 more 3 and 1 more 13.
This gives us 2^2 *3 *13=156 E)
Board of Directors
User avatar
G
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3399
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: If 2^5, 3^3, and 13^2 are all factors of the product of 936 and w wher [#permalink]

Show Tags

New post 28 Apr 2016, 11:33
PhilSad92 wrote:
stonecold wrote:
Here 156 has three two's
two three's
and one 13
rest of them must be in w
so w= 13*3*4 = 156

Smash E


E) is the right answer, but don't you mean 936 in the first sentence?

936= 2^3 *3^2 *13^1

So what you need is 2 more 2's, 1 more 3 and 1 more 13.
This gives us 2^2 *3 *13=156 E)


Yup definitely its a TYPO

\(936\)= \(2^3\)x \(3^2\)x \(13^1\)
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Intern
Intern
avatar
B
Joined: 05 May 2013
Posts: 8
Concentration: Strategy, General Management
Re: If 2^5, 3^3, and 13^2 are all factors of the product of 936 and w wher [#permalink]

Show Tags

New post 12 Dec 2017, 12:28
2^5, 3^3, and 13^2 are all factors of the product of 936 and w
936=2^33^213
So, we left with 2^2*3*13=156
Hence answer is E
Re: If 2^5, 3^3, and 13^2 are all factors of the product of 936 and w wher   [#permalink] 12 Dec 2017, 12:28
Display posts from previous: Sort by

If 2^5, 3^3, and 13^2 are all factors of the product of 936 and w wher

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


cron

GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.