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

 It is currently 23 Mar 2017, 21:10

### 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

# Is the integer x divisible by 36 ?

Author Message
TAGS:

### Hide Tags

Manager
Joined: 17 May 2007
Posts: 72
Followers: 2

Kudos [?]: 31 [0], given: 0

Is the integer x divisible by 36 ? [#permalink]

### Show Tags

08 Sep 2007, 15:16
1
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

81% (01:38) correct 19% (00:35) wrong based on 94 sessions

### HideShow timer Statistics

Is the integer x divisible by 36 ?

(1) x is divisible by 12.
(2) x is divisible by 9.

OPEN DISCUSSION OF THIS QUESTION IS HERE: is-the-integer-x-divisible-by-167497.html
[Reveal] Spoiler: OA

Last edited by Bunuel on 02 Nov 2014, 04:20, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
VP
Joined: 10 Jun 2007
Posts: 1455
Followers: 7

Kudos [?]: 268 [0], given: 0

Re: Is the integer x divisible by 36 ? [#permalink]

### Show Tags

08 Sep 2007, 15:22
1
This post was
BOOKMARKED
gowani wrote:
a question from the retired GMAT papers...I tried to search for this but wasn't able to find the explanation

Is the integer x divisible by 36?

(1) x is divisible by 12.
(2) x is divisible by 9.

C.

36 = 2*2*3*3

(1) x is only divisible by 2*2*3, missing a 3 INSUFFICIENT
(2) x is only divisible by 3*3, missing 2*2 INSUFFICIENT

Together, here is the tricky part,
you know that x has a factor of 2*2*3 and 3*3. Therefore, at bare minimum, x must be divisible by 2*2*3*3
SUFFICIENT
Senior Manager
Joined: 15 Aug 2013
Posts: 328
Followers: 0

Kudos [?]: 58 [0], given: 23

Re: Is the integer x divisible by 36 ? [#permalink]

### Show Tags

01 Nov 2014, 13:33
bkk145 wrote:
gowani wrote:
a question from the retired GMAT papers...I tried to search for this but wasn't able to find the explanation

Is the integer x divisible by 36?

(1) x is divisible by 12.
(2) x is divisible by 9.

C.

36 = 2*2*3*3

(1) x is only divisible by 2*2*3, missing a 3 INSUFFICIENT
(2) x is only divisible by 3*3, missing 2*2 INSUFFICIENT

Together, here is the tricky part,
you know that x has a factor of 2*2*3 and 3*3. Therefore, at bare minimum, x must be divisible by 2*2*3*3
SUFFICIENT

Hi -- question here.

Since 12 has factors of 2, 2, and 3 and 9 has factors of 3, and 3. Does this mean, that when combined, their PF's are 2, 2, 3, 3, 3 (Three 3's?) or are we only supposed to pick the max number of 3's?
Math Expert
Joined: 02 Sep 2009
Posts: 37560
Followers: 7392

Kudos [?]: 99301 [1] , given: 11010

Re: Is the integer x divisible by 36 ? [#permalink]

### Show Tags

02 Nov 2014, 04:32
1
KUDOS
Expert's post
1
This post was
BOOKMARKED
russ9 wrote:
bkk145 wrote:
gowani wrote:
a question from the retired GMAT papers...I tried to search for this but wasn't able to find the explanation

Is the integer x divisible by 36?

(1) x is divisible by 12.
(2) x is divisible by 9.

C.

36 = 2*2*3*3

(1) x is only divisible by 2*2*3, missing a 3 INSUFFICIENT
(2) x is only divisible by 3*3, missing 2*2 INSUFFICIENT

Together, here is the tricky part,
you know that x has a factor of 2*2*3 and 3*3. Therefore, at bare minimum, x must be divisible by 2*2*3*3
SUFFICIENT

Hi -- question here.

Since 12 has factors of 2, 2, and 3 and 9 has factors of 3, and 3. Does this mean, that when combined, their PF's are 2, 2, 3, 3, 3 (Three 3's?) or are we only supposed to pick the max number of 3's?

Tot find the least common multiple of two positive integers:
1. Make prime factorization;
2. Multiply all the primes keeping their powers (pick the highest power of the common primes).

$$12 = 2^2*3$$.
$$9 = 3^2$$.

$$LCM = 2^2*3^2$$.

Is the integer x divisible by 36 ?

(1) x is divisible by 12. If x=12, then the answer is NO but if x=36, then the answer is YES. Not sufficient.

(2) x is divisible by 9. If x=9, then the answer is NO but if x=36, then the answer is YES. Not sufficient.

(1)+(2) From above it follows that x must be divisible by the least common multiple of 12 and 9, which is 36. Sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: is-the-integer-x-divisible-by-167497.html
_________________
Re: Is the integer x divisible by 36 ?   [#permalink] 02 Nov 2014, 04:32
Similar topics Replies Last post
Similar
Topics:
1 If d is a positive integer, is d divisible by 36? 2 13 Dec 2016, 10:49
9 Is the integer x divisible by 36 ? 9 14 Feb 2014, 01:58
1 Is the integer x divisible by 36? (1) x is divisible by 12 3 22 Feb 2011, 11:28
2 Is the integer x divisible by 6? 5 12 Dec 2008, 03:38
23 Is the integer x divisible by 6? 11 14 Feb 2008, 12:37
Display posts from previous: Sort by