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

 It is currently 18 Apr 2019, 12:02

### 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

# If m and n are positive integers is m/n an integer?

Author Message
TAGS:

### Hide Tags

Manager
Joined: 13 Oct 2013
Posts: 136
Concentration: Strategy, Entrepreneurship
If m and n are positive integers is m/n an integer?  [#permalink]

### Show Tags

13 Dec 2014, 13:55
1
00:00

Difficulty:

5% (low)

Question Stats:

94% (00:51) correct 6% (00:47) wrong based on 137 sessions

### HideShow timer Statistics

If m and n are positive integers is m/n an integer?

(1) m is a multiple of 14
(2) n is a divisor of 14

how c is the answer ?

say m =14, n=28.
m/n=1/2, am i missing anything?

M01-06

_________________
---------------------------------------------------------------------------------------------
Kindly press +1 Kudos if my post helped you in any way
Intern
Joined: 10 Feb 2013
Posts: 14
Location: India
Concentration: General Management, Finance
GMAT Date: 05-16-2015
GPA: 3.67
WE: Programming (Computer Software)
Re: If m and n are positive integers is m/n an integer?  [#permalink]

### Show Tags

13 Dec 2014, 15:46
1
sunita123 wrote:
If m and n are positive integers is m/n an integer?
(1) m is a multiple of 14
(2) n is a divisor of 14

how c is the answer ?

say m =14, n=28.
m/n=1/2, am i missing anything?

The statement 2 was n is divisor of 14 it means 14,7,2,1 u considered it a multiple of 14 so u got fraction ..

ex m = 14 * a and n= 14/ a where a is a positive number m/n gives you a^2 ..SO u get an integer I hope u got it !
Manager
Joined: 13 Oct 2013
Posts: 136
Concentration: Strategy, Entrepreneurship
Re: If m and n are positive integers is m/n an integer?  [#permalink]

### Show Tags

13 Dec 2014, 15:53
1
ah yes my bad... Thank you!!

jayanth7290 wrote:
sunita123 wrote:
If m and n are positive integers is m/n an integer?
(1) m is a multiple of 14
(2) n is a divisor of 14

how c is the answer ?

say m =14, n=28.
m/n=1/2, am i missing anything?

The statement 2 was n is divisor of 14 it means 14,7,2,1 u considered it a multiple of 14 so u got fraction ..

ex m = 14 * a and n= 14/ a where a is a positive number m/n gives you a^2 ..SO u get an integer I hope u got it !

_________________
---------------------------------------------------------------------------------------------
Kindly press +1 Kudos if my post helped you in any way
Math Expert
Joined: 02 Sep 2009
Posts: 54369
Re: If m and n are positive integers is m/n an integer?  [#permalink]

### Show Tags

15 Dec 2014, 07:51
1
If $$m$$ and $$n$$ are positive integers is $$\frac{m}{n}$$ an integer?

(1) $$m$$ is a multiple of 14. Not sufficient as no info about $$n$$.

(2) $$n$$ is a divisor of 14. Not sufficient as no info about $$m$$.

(1)+(2) As from (2) $$n$$ is a divisor of 14 then it must be a divisor of every multiple of 14, therefore it's a divisor of $$m$$ too. Sufficient.

M01-06
_________________
Director
Joined: 12 Nov 2016
Posts: 725
Location: United States
Schools: Yale '18
GMAT 1: 650 Q43 V37
GRE 1: Q157 V158
GPA: 2.66
Re: If m and n are positive integers is m/n an integer?  [#permalink]

### Show Tags

17 Jul 2017, 20:14
Bunuel wrote:
If $$m$$ and $$n$$ are positive integers is $$\frac{m}{n}$$ an integer?

(1) $$m$$ is a multiple of 14. Not sufficient as no info about $$n$$.

(2) $$n$$ is a divisor of 14. Not sufficient as no info about $$m$$.

(1)+(2) As from (2) $$n$$ is a divisor of 14 then it must be a divisor of every multiple of 14, therefore it's a divisor of $$m$$ too. Sufficient.

M01-06

This question asks is m a multiple of "n"?

St 1

M is a multiple of 14- obviously insufficient no info about n - we just know

M/ 7 x 2 = some integer X therefore M= 7 x 2 x K (some integer)

St 2

N is a divisor of 14 just means N is a factor of 14- obiously insuff no info about M

St 1 and St 2

7 x 2 x k/ any factor of 14 = integer

7 x 2 x k / 14 = integer for example as Bunuel explained

C
Re: If m and n are positive integers is m/n an integer?   [#permalink] 17 Jul 2017, 20:14
Display posts from previous: Sort by