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

 It is currently 24 Aug 2019, 13:21

### 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

# When positive integer m is divided by positive integer n, the

Author Message
TAGS:

### Hide Tags

Senior RC Moderator
Joined: 02 Nov 2016
Posts: 3478
GPA: 3.39
When positive integer m is divided by positive integer n, the  [#permalink]

### Show Tags

11 Aug 2019, 05:10
1
00:00

Difficulty:

35% (medium)

Question Stats:

83% (01:44) correct 17% (01:29) wrong based on 12 sessions

### HideShow timer Statistics

When positive integer $$m$$ is divided by positive integer $$n$$, the remainder is 27. If $$\frac{m}{n} = 75.018$$, what is the value of $$n$$?

A. 1800

B. 1500

C. 1280

D. 750

E. 480

_________________
Manager
Joined: 07 Aug 2017
Posts: 84
Location: India
GPA: 4
WE: Information Technology (Consulting)
Re: When positive integer m is divided by positive integer n, the  [#permalink]

### Show Tags

11 Aug 2019, 05:42
1
IMO B

"When positive integer m is divided by positive integer n, the remainder is 27"
m=nx+27
x is quotient

m=75.018n
75.018n=nx+27
75.018n=75n+27
n(75.018-75)=27
n=27/0.018
n=1500

Intern
Joined: 05 Nov 2017
Posts: 9
Re: When positive integer m is divided by positive integer n, the  [#permalink]

### Show Tags

11 Aug 2019, 05:55
m/n = 75.018 = 75 + 0.018
Remainder of m/n = 27 = n*0.018
18n/1000 = 27
n = 3/2 * 1000 = 1500

Sent from my iPhone using GMAT Club Forum
Senior Manager
Joined: 16 Jan 2019
Posts: 426
Location: India
Concentration: General Management
WE: Sales (Other)
When positive integer m is divided by positive integer n, the  [#permalink]

### Show Tags

11 Aug 2019, 05:59
1
A division can be expressed in the form

$$\frac{Dividend}{Divisor} = Quotient + \frac{Remainder}{Divisor}$$

$$\frac{m}{n}=75+0.018=75+\frac{18}{1000}=75+\frac{9}{500}=75+\frac{27}{1500}$$

So n=1500

Posted from my mobile device
VP
Joined: 07 Dec 2014
Posts: 1231
Re: When positive integer m is divided by positive integer n, the  [#permalink]

### Show Tags

11 Aug 2019, 11:39
When positive integer $$m$$ is divided by positive integer $$n$$, the remainder is 27. If $$\frac{m}{n} = 75.018$$, what is the value of $$n$$?

A. 1800

B. 1500

C. 1280

D. 750

E. 480

18/1000=27/n→
n=1500
B
Re: When positive integer m is divided by positive integer n, the   [#permalink] 11 Aug 2019, 11:39
Display posts from previous: Sort by