GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 23 Oct 2018, 20:59

### 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

# Is m divisible by n?

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 02 Jan 2017
Posts: 312
Is m divisible by n?  [#permalink]

### Show Tags

07 Mar 2017, 03:37
1
00:00

Difficulty:

55% (hard)

Question Stats:

56% (01:09) correct 44% (01:57) wrong based on 39 sessions

### HideShow timer Statistics

Is m divisible by n?

(1) m + n is divisible by m – n.

(2) m + n is divisible by n.
Manager
Joined: 02 Aug 2015
Posts: 113
Re: Is m divisible by n?  [#permalink]

### Show Tags

07 Mar 2017, 06:56
vikasp99 wrote:
Is m divisible by n?

(1) m + n is divisible by m – n.

(2) m + n is divisible by n.

(1) m + n is divisible by m – n -> Assuming m=3 and n=2, m is not divisible by n. Assuming m=3 and n=1, m is divisible by n. - Not sufficient.

(2) m + n is divisible by n. -> m should definitely be divisible by n. - Sufficient.

Hence B.

Cheers!
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3920
Location: United States (CA)
Re: Is m divisible by n?  [#permalink]

### Show Tags

09 Mar 2017, 17:18
1
vikasp99 wrote:
Is m divisible by n?

(1) m + n is divisible by m – n.

(2) m + n is divisible by n.

We need to determine whether m/n = integer.

Statement One Alone:

m + n is divisible by m – n.

Statement one alone is not sufficient to answer the question. For instance, if m = 6 and n = 3, then m is divisible by n; however, if m = 6 and n = 5, then m is not divisible by n. Statement one alone is not sufficient to answer the question.

Statement Two Alone:

m + n is divisible by n.

Since m + n is divisible by n, we know the following:

(m + n)/n = integer

m/n + n/n = integer

m/n + 1 = integer

m/n = integer - 1

Since any integer minus 1 is also an integer, m/n is an integer.

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: Is m divisible by n? &nbs [#permalink] 09 Mar 2017, 17:18
Display posts from previous: Sort by