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

 It is currently 08 Dec 2019, 13:49

### 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

# 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

Ask GMAT Experts Forum Moderator
Status: Preparing for GMAT
Joined: 25 Nov 2015
Posts: 1045
Location: India
GPA: 3.64
If 'm' is an integer and 35!/3^m is an integer, then what could be the  [#permalink]

### Show Tags

22 Nov 2017, 10:13
1
4
00:00

Difficulty:

15% (low)

Question Stats:

83% (01:07) correct 17% (01:13) wrong based on 58 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
Retired Moderator
Joined: 25 Feb 2013
Posts: 1159
Location: India
GPA: 3.82
If 'm' is an integer and 35!/3^m is an integer, then what could be the  [#permalink]

### Show Tags

22 Nov 2017, 11:16
2
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
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3300
Location: India
GPA: 3.12
Re: If 'm' is an integer and 35!/3^m is an integer, then what could be the  [#permalink]

### Show Tags

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)
_________________
You've got what it takes, but it will take everything you've got
Non-Human User
Joined: 09 Sep 2013
Posts: 13727
Re: If 'm' is an integer and 35!/3^m is an integer, then what could be the  [#permalink]

### Show Tags

26 Jan 2019, 02:48
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.
_________________
Re: If 'm' is an integer and 35!/3^m is an integer, then what could be the   [#permalink] 26 Jan 2019, 02:48
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

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne