It is currently 21 Nov 2017, 07:00

### 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

Kudos [?]: 34 [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:

5% (low)

Question Stats:

83% (00:36) correct 17% (00:35) wrong based on 108 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.

Kudos [?]: 34 [0], given: 0

VP
Joined: 10 Jun 2007
Posts: 1434

Kudos [?]: 370 [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

Kudos [?]: 370 [0], given: 0

Senior Manager
Joined: 15 Aug 2013
Posts: 301

Kudos [?]: 83 [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?

Kudos [?]: 83 [0], given: 23

Math Expert
Joined: 02 Sep 2009
Posts: 42280

Kudos [?]: 132903 [1], given: 12391

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
_________________

Kudos [?]: 132903 [1], given: 12391

Re: Is the integer x divisible by 36 ?   [#permalink] 02 Nov 2014, 04:32
Display posts from previous: Sort by