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

 It is currently 10 Dec 2018, 06:15

### 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

## Events & Promotions

###### Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Free lesson on number properties

December 10, 2018

December 10, 2018

10:00 PM PST

11:00 PM PST

Practice the one most important Quant section - Integer properties, and rapidly improve your skills.
• ### Free GMAT Prep Hour

December 11, 2018

December 11, 2018

09:00 PM EST

10:00 PM EST

Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST.

# If m and n are positive real numbers, is m/n an integer? (1) n is not

Author Message
TAGS:

### Hide Tags

DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1412
Location: India
If m and n are positive real numbers, is m/n an integer? (1) n is not  [#permalink]

### Show Tags

25 Jul 2018, 10:09
00:00

Difficulty:

25% (medium)

Question Stats:

79% (01:02) correct 21% (00:38) wrong based on 19 sessions

### HideShow timer Statistics

If m and n are positive real numbers, is m/n an integer?

(1) n is not an integer.

(2) m is an integer.
MBA Section Director
Affiliations: GMATClub
Joined: 22 May 2017
Posts: 1355
Concentration: Nonprofit
GPA: 4
WE: Engineering (Computer Software)
Re: If m and n are positive real numbers, is m/n an integer? (1) n is not  [#permalink]

### Show Tags

25 Jul 2018, 19:05
To find whether $$\frac{m}{n}$$ is an integer or not

m and n are positive real numbers

Statement 1

n is not an integer

case 1, let n = 0.1 and m = 10

=> $$\frac{m}{n} = \frac{10}{0.1} = 100$$

=> $$\frac{m}{n}$$ is an integer

case 2, let n = 0.1 and m = 0.01

=> $$\frac{m}{n} = \frac{0.01}{0.1} = 0.1$$

=> $$\frac{m}{n}$$ is not an integer

Statement 1 is not sufficient

Statement 2

m is an integer

case 1, let n = 0.1 and m = 10

=> $$\frac{m}{n} = \frac{10}{0.1} = 100$$

=> $$\frac{m}{n}$$ is an integer

case 2, let n = 3 and m = 10

=> $$\frac{m}{n} = \frac{10}{3}$$ = 3.333

=> $$\frac{m}{n}$$ is not an integer

Statement 2 is not sufficient

Combining statements 1 and 2

n is not an integer and m is an integer

case 1, let n = 0.1 and m = 10

=> $$\frac{m}{n} = \frac{10}{0.1} = 100$$

=> $$\frac{m}{n}$$ is an integer

case 2, let n = 0.3 and m = 10

=> $$\frac{m}{n} = \frac{10}{3}$$ = 3.333

=> $$\frac{m}{n}$$ is not an integer

Statements 1 and 2 together are not sufficient

Hence option E
_________________
Re: If m and n are positive real numbers, is m/n an integer? (1) n is not &nbs [#permalink] 25 Jul 2018, 19:05
Display posts from previous: Sort by