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#### 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
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Founder  Joined: 18 Apr 2015
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If x is divisible by both 3 and 4, then the number x must be [#permalink]
Expert's post 00:00

Question Stats: 99% (00:35) correct 0% (00:00) wrong based on 17 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

_________________

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GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests. Manager Joined: 29 Nov 2017
Posts: 190
Location: United States
GRE 1: Q142 V146 WE: Information Technology (Computer Software)
Followers: 1

Kudos [?]: 94  , 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. Founder  Joined: 18 Apr 2015
Posts: 13357
Followers: 288

Kudos [?]: 3391  , given: 12192

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

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
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Manager Joined: 27 Feb 2017
Posts: 188
Followers: 1

Kudos [?]: 77 , 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: 1

Kudos [?]: 94  , 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: 1

Kudos [?]: 94  , 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

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. Target Test Prep Representative Joined: 12 Sep 2018
Posts: 208
Followers: 11

Kudos [?]: 134  , given: 0

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

If x is divisible by both 3 and 4, then the LCM of x is 12. Thus, x must be a multiple of 12.

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# Scott Woodbury-Stewart

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Scott@TargetTestPrep.com

See why Target Test Prep is the top rated GRE quant course on GRE Prep Club. Read Our Reviews Re: If x is divisible by both 3 and 4, then the number x must be   [#permalink] 07 Apr 2019, 17:42
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