 It is currently 26 Mar 2019, 05:13 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # If x is divisible by both 3 and 4, then the number x must be  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Moderator  Joined: 18 Apr 2015
Posts: 5919
Followers: 96

Kudos [?]: 1158 , given: 5491

If x is divisible by both 3 and 4, then the number x must be [#permalink]
Expert's post 00:00

Question Stats: 100% (00:39) correct 0% (00:00) wrong based on 8 sessions
If x is divisible by both 3 and 4, then the number x must be a multiple of which one of the following?

(A) 8
(B) 12
(C) 15
(D) 18
(E) 21
[Reveal] Spoiler: OA

_________________ Manager Joined: 29 Nov 2017
Posts: 190
Location: United States
GRE 1: Q142 V146 WE: Information Technology (Computer Software)
Followers: 0

Kudos [?]: 78  , given: 99

Re: If x is divisible by both 3 and 4, then the number x must be [#permalink]
1
KUDOS
I got the answer right but I belive the way I made my pattern for the solution of this question is was pedestrian- if anyone could solve it in a more slick manner then it is most welcome.

For me I made two equation

X=3k+0---eq 1
X=4K+0
now multile of 3 as per eq 1 are as follows
3,6,9,12,15,18,21,24,27,30--- as we can see 12 and 24 can be dividend completely by 12 which is 3*4 hence I chose the answer B..

this took TIME ..any shortcut pls welcome

Last edited by IshanGre on 09 May 2018, 05:14, edited 1 time in total. Moderator  Joined: 18 Apr 2015
Posts: 5919
Followers: 96

Kudos [?]: 1158  , given: 5491

Re: If x is divisible by both 3 and 4, then the number x must be [#permalink]
1
KUDOS
Expert's post
3*4=12

12-24-48......and so forth

B is the answer.

OR

The only number that has 3 and 4 as factors among the answer choices is 12. The others do not.

OR

because the factors are 3 and 4 the number must be even. So, C and E are out. 8 is 2^3 and 18 is 3^2 * 2. In 8 is missing the 3 and in the latter is missing the 4.

Hope is clear now.

Regards
_________________
Manager Joined: 27 Feb 2017
Posts: 189
Followers: 0

Kudos [?]: 49 , given: 15

Re: If x is divisible by both 3 and 4, then the number x must be [#permalink]
this means number x is a multiple of 12 (answer), 3 and 4, right? Manager Joined: 29 Nov 2017
Posts: 190
Location: United States
GRE 1: Q142 V146 WE: Information Technology (Computer Software)
Followers: 0

Kudos [?]: 78  , given: 99

Re: If x is divisible by both 3 and 4, then the number x must be [#permalink]
2
KUDOS
kruttikaaggarwal wrote:
this means number x is a multiple of 12 (answer), 3 and 4, right?

Yeah right , because if a number is a multiple of any two number then those numbers must be its factors ..hence in this case least common multiple of 3 and 4 is 12 .. X has to be a multiple of 12. Manager Joined: 29 Nov 2017
Posts: 190
Location: United States
GRE 1: Q142 V146 WE: Information Technology (Computer Software)
Followers: 0

Kudos [?]: 78  , given: 99

Re: If x is divisible by both 3 and 4, then the number x must be [#permalink]
1
KUDOS
Carcass wrote:
3*4=12

12-24-48......and so forth

B is the answer.

OR

The only number that has 3 and 4 as factors among the answer choices is 12. The others do not.

OR

because the factors are 3 and 4 the number must be even. So, C and E are out. 8 is 2^3 and 18 is 3^2 * 2. In 8 is missing the 3 and in the latter is missing the 4.

Hope is clear now.

Regards

I like your second approach ..this comes by being mindful of the question asked. KUDOS. Re: If x is divisible by both 3 and 4, then the number x must be   [#permalink] 09 May 2018, 05:21
Display posts from previous: Sort by

# If x is divisible by both 3 and 4, then the number x must be  Question banks Downloads My Bookmarks Reviews Important topics  Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.