GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 23 Feb 2020, 06:49

Close

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
Your Progress

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.

Close

Request Expert Reply

Confirm Cancel

Is 6x/13 an integer? (1) x is a prime number (2) 3x is divisible by 13

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 61402
Is 6x/13 an integer? (1) x is a prime number (2) 3x is divisible by 13  [#permalink]

Show Tags

New post 15 Jan 2020, 01:21
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

84% (00:56) correct 16% (01:09) wrong based on 31 sessions

HideShow timer Statistics

GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 11 Sep 2015
Posts: 4342
Location: Canada
Re: Is 6x/13 an integer? (1) x is a prime number (2) 3x is divisible by 13  [#permalink]

Show Tags

New post 15 Jan 2020, 06:07
Top Contributor
Bunuel wrote:
Is 6x/13 an integer?

(1) x is a prime number
(2) 3x is divisible by 13


Target question: Is 6x/13 an integer?
ASIDE: In order for 6x/13 to be an integer, 6x must be divisible by 13.


Statement 1: x is a prime number
Let's TEST some values.
There are several values of x that satisfy statement 1. Here are two:
Case a: x = 13. In this case, 6x/13 = 6(13)/13 = 6. So, the answer to the target question is YES, 6x/13 IS an integer
Case b: x = 2. In this case, 6x/13 = 6(2)/13 = 12/13. So, the answer to the target question is NO, 6x/13 is NOT an integer
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: 3x is divisible by 13
If 3x is divisible by 13, then we can say that 3x = 13k for some integer k.
Notice that: 6x/13 = (2)(3x)/13
Replace values to get: 6x/13 = (2)(3x)/13 = (2)(13k)/13 = 2k = some integer [if k is an integer, then 2k must also be an integer]
So, the answer to the target question is YES, 6x/13 IS an integer
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: B

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
Image
GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 18 Aug 2017
Posts: 5904
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Reviews Badge CAT Tests
Re: Is 6x/13 an integer? (1) x is a prime number (2) 3x is divisible by 13  [#permalink]

Show Tags

New post 15 Jan 2020, 06:43
Bunuel wrote:
Is 6x/13 an integer?

(1) x is a prime number
(2) 3x is divisible by 13


#1
x is prime no
x= 2,3,5,.. 13
we get 6x/13 as yes & no to be an integer value
insufficient
#2
3x is divisible by 13
x has to be 13
so 6x/13 would be 6 hence an integer ; sufficient
IMO B
GMAT Club Bot
Re: Is 6x/13 an integer? (1) x is a prime number (2) 3x is divisible by 13   [#permalink] 15 Jan 2020, 06:43
Display posts from previous: Sort by

Is 6x/13 an integer? (1) x is a prime number (2) 3x is divisible by 13

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





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