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

It is currently 26 Apr 2018, 17:49

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 'm' is an integer and 35!/3^m is an integer, then what could be the

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

Hide Tags

Director
Director
User avatar
D
Status: Preparing for GMAT
Joined: 25 Nov 2015
Posts: 579
Location: India
GPA: 3.64
GMAT ToolKit User Premium Member Reviews Badge
If 'm' is an integer and 35!/3^m is an integer, then what could be the [#permalink]

Show Tags

New post 22 Nov 2017, 10:13
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

76% (00:49) correct 24% (00:18) wrong based on 34 sessions

HideShow timer Statistics

If 'm' is an integer and \(\frac{35!}{3^m}\) is an integer, then what could be the maximum possible value of 'm'?
A) 15
B) 12
C) 10
D) 9
E) Cannot be determined
[Reveal] Spoiler: OA

_________________

Please give kudos, if you like my post

When the going gets tough, the tough gets going...

PS Forum Moderator
avatar
D
Joined: 25 Feb 2013
Posts: 1062
Location: India
GPA: 3.82
GMAT ToolKit User Premium Member Reviews Badge CAT Tests
If 'm' is an integer and 35!/3^m is an integer, then what could be the [#permalink]

Show Tags

New post 22 Nov 2017, 11:16
1
This post was
BOOKMARKED
souvonik2k wrote:
If 'm' is an integer and \(\frac{35!}{3^m}\) is an integer, then what could be the maximum possible value of 'm'?
A) 15
B) 12
C) 10
D) 9
E) Cannot be determined


\(\frac{35}{3} + \frac{35}{3^2} + \frac{35}{3^3} = 11+3+1 =15\)

Option A

Refer article by Bunuel to know the formula

https://gmatclub.com/forum/everything-a ... 85592.html
BSchool Forum Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 2456
Location: India
GPA: 3.12
Premium Member CAT Tests
Re: If 'm' is an integer and 35!/3^m is an integer, then what could be the [#permalink]

Show Tags

New post 22 Nov 2017, 11:56
souvonik2k wrote:
If 'm' is an integer and \(\frac{35!}{3^m}\) is an integer, then what could be the maximum possible value of 'm'?
A) 15
B) 12
C) 10
D) 9
E) Cannot be determined



35! is the product of all the number from 1 to 35.

Starting from 1 till 35,
there are 11 multiples of 3, 3 multiples of \(9(3^2)\) and only 1 multiple of \(27(3^3)\)

Therefore, m has a maximum value of \(11+3+1 = 15\)(Option A)
_________________

Stay hungry, Stay foolish

2017-2018 MBA Deadlines

Class of 2020: Rotman Thread | Schulich Thread
Class of 2019: Sauder Thread

Re: If 'm' is an integer and 35!/3^m is an integer, then what could be the   [#permalink] 22 Nov 2017, 11:56
Display posts from previous: Sort by

If 'm' is an integer and 35!/3^m is an integer, then what could be the

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


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®.