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

 It is currently 16 Feb 2020, 19:04 ### 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, n, and m are positive integers and x/ n = m, is x divisible by 3

Author Message
TAGS:

### Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 61189
If x, n, and m are positive integers and x/ n = m, is x divisible by 3  [#permalink]

### Show Tags 00:00

Difficulty:   35% (medium)

Question Stats: 68% (01:11) correct 32% (01:43) wrong based on 25 sessions

### HideShow timer Statistics

If x, n, and m are positive integers and x/ n = m, is x divisible by 3?

(1) m is divisible by 6.

(2) n is divisible by 15.

_________________
CEO  D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 3129
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Re: If x, n, and m are positive integers and x/ n = m, is x divisible by 3  [#permalink]

### Show Tags

1
Bunuel wrote:
If x, n, and m are positive integers and x/ n = m, is x divisible by 3?

(1) m is divisible by 6.

(2) n is divisible by 15.

Given: x/ n = m i.e. x = m*n and x, m and n are integers

Question: Is x divisible by 3?

Statement 1: m is divisible by 6 = 2*3.

and x is a multiple of m i.e. x is also divisible by 3 as well hence

SUFFICIENT

Statement 2: n is divisible by 15 = 3*5

and x is a multiple of n i.e. x is also divisible by 3 as well hence

SUFFICIENT

_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
GMAT Club Legend  V
Joined: 11 Sep 2015
Posts: 4318
Re: If x, n, and m are positive integers and x/ n = m, is x divisible by 3  [#permalink]

### Show Tags

Top Contributor
Bunuel wrote:
If x, n, and m are positive integers and x/n = m, is x divisible by 3?

(1) m is divisible by 6.
(2) n is divisible by 15.

Given: x, n, and m are positive integers and x/n = m
Take: x/n = m
Multiply both sides by n to get: x = nm

Target question: Is x divisible by 3

Statement 1: m is divisible by 6
In other words, m is a multiple of 6
So, we can write: m = 6k (for some integer k)
Since we already know that x = nm, we can now replace m to write: x = (n)(6k)
Rewrite as: x = (n)(3)(2)(k)
At this point we can clearly see that x is divisible by 3
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: n is divisible by 15
In other words, n is a multiple of 15
So, we can write: n = 15k (for some integer k)
Since we already know that x = nm, we can now replace n to write: x = (15k)(m)
Rewrite as: x = (n)(3)(5)(k)(m)
At this point we can clearly see that x is divisible by 3
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Cheers,
Brent
_________________ Re: If x, n, and m are positive integers and x/ n = m, is x divisible by 3   [#permalink] 21 Jan 2020, 06:31
Display posts from previous: Sort by

# If x, n, and m are positive integers and x/ n = m, is x divisible by 3  