When 10 is divided by the positive integer n, the remainder is n : PS Archive
Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

It is currently 08 Dec 2016, 00:28
GMAT Club Tests

Close

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
Your Progress

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.

Close

Request Expert Reply

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

When 10 is divided by the positive integer n, the remainder is n

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Director
Director
avatar
Joined: 03 Jul 2003
Posts: 652
Followers: 3

Kudos [?]: 91 [0], given: 0

When 10 is divided by the positive integer n, the remainder is n [#permalink]

Show Tags

New post 28 Jan 2004, 16:03
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

When 10 is divided by the positive integer n, the remainder is n-4. Which of the following could be value of n?

(A) 3
(B) 4
(C) 7
(D) 8
(E) 12
Director
Director
avatar
Joined: 03 Jul 2003
Posts: 652
Followers: 3

Kudos [?]: 91 [0], given: 0

 [#permalink]

Show Tags

New post 28 Jan 2004, 16:33
rakesh1239 wrote:
C)7


Prove it :lol:
Manager
Manager
User avatar
Joined: 26 Dec 2003
Posts: 227
Location: India
Followers: 1

Kudos [?]: 3 [0], given: 0

 [#permalink]

Show Tags

New post 28 Jan 2004, 16:46
When 10 is divided by 7, the remainder is 3 and it is given that n-4 which is 7-4=3, all other choices r wrong, I went from the choices
Manager
Manager
avatar
Joined: 11 Oct 2003
Posts: 102
Location: USA
Followers: 1

Kudos [?]: 0 [0], given: 0

Proof? [#permalink]

Show Tags

New post 28 Jan 2004, 18:03
Here you go:

n*k+(n-4) = 10, k any integer

k = (14/n) - 1

Since k is an integer, 14 is divisible by n.

=> n = 7.
SVP
SVP
User avatar
Joined: 30 Oct 2003
Posts: 1793
Location: NewJersey USA
Followers: 5

Kudos [?]: 97 [0], given: 0

 [#permalink]

Show Tags

New post 29 Jan 2004, 10:44
10 = x*n + (n-4)
n(x+1) = 14 so n = 14/(x+1)
or (x+1) = 14/n
we know that n is integer and x+1 is also integer. Out of the given answers only n=7 yeilds us an integer
so n = 7
Manager
Manager
User avatar
Joined: 15 Sep 2006
Posts: 94
Followers: 1

Kudos [?]: 7 [0], given: 0

Remainder of division [#permalink]

Show Tags

New post 20 Jun 2007, 14:02
When 10 is divided by the positive integer n, the remainder is n-4. Which of the following could be value of n?
a. 3
b. 4
c. 7
d. 8
e. 12

Please explain your answers.
Director
Director
User avatar
Joined: 26 Feb 2006
Posts: 904
Followers: 4

Kudos [?]: 107 [0], given: 0

Re: Remainder of division [#permalink]

Show Tags

New post 20 Jun 2007, 14:12
empanado wrote:
When 10 is divided by the positive integer n, the remainder is n-4. Which of the following could be value of n?
a. 3
b. 4
c. 7
d. 8
e. 12

Please explain your answers.



r = n - 4 ..................................... 1

under certain circumstances:

10 = n + r .......................................2
10 = n + n -4
2n = 14
n = 7
Director
Director
User avatar
Joined: 08 Feb 2007
Posts: 610
Location: New Haven, CT
Followers: 5

Kudos [?]: 18 [0], given: 0

 [#permalink]

Show Tags

New post 20 Jun 2007, 14:55
C it is. 10/7 gives remainder of 3 and 7-4 =3.
Director
Director
User avatar
Joined: 30 Nov 2006
Posts: 591
Location: Kuwait
Followers: 14

Kudos [?]: 267 [0], given: 0

 [#permalink]

Show Tags

New post 20 Jun 2007, 14:58
10 = Qn + n-4

14 = n(Q+1) where Q is the qoutient and can be zero or any positive integer.

n can be any factor of 14 [ 14,1,7,2]

ANSWER: C

P.S. a really good question.
VP
VP
User avatar
Joined: 08 Jun 2005
Posts: 1146
Followers: 7

Kudos [?]: 187 [0], given: 0

 [#permalink]

Show Tags

New post 22 Jun 2007, 09:58
n*x+(n-4) = 10
n*x+n = 14
n(x+1) = 14

from the choices only 7 will yield an integer, hence:

7*(x+1) = 14
x+1 = 2
x = 1

the answer is (C)

:-D
Current Student
avatar
Joined: 03 Oct 2006
Posts: 85
Followers: 1

Kudos [?]: 0 [0], given: 0

 [#permalink]

Show Tags

New post 22 Jun 2007, 10:07
Wait, this has to be a 500 level question at most...right? I just simply plugged in the numbers and got C. Was there some trick involved I didn't notice?

Thanks.
VP
VP
User avatar
Joined: 08 Jun 2005
Posts: 1146
Followers: 7

Kudos [?]: 187 [0], given: 0

 [#permalink]

Show Tags

New post 22 Jun 2007, 10:18
hd54321 wrote:
Wait, this has to be a 500 level question at most...right? I just simply plugged in the numbers and got C. Was there some trick involved I didn't notice?

Thanks.


no trick , thats an easy problem. Please note that plugging numbers can only take you so far.

:-D
Director
Director
avatar
Joined: 10 Feb 2006
Posts: 657
Followers: 3

Kudos [?]: 444 [0], given: 0

Quotient - [#permalink]

Show Tags

New post 02 Oct 2007, 15:43
When 10 is divided by the positive integer n, the remainder is n - 4, which of the following could be the value of n ?

(A). 3
(B). 4
(C). 7
(D). 8
(E). 12

= > 10 = n(q) + (n-4)

Used the plug in .

= > 10 / = 7 + (7 - 4)
= > 10 = 7(1) + 3

Is this the best approach. i.e plugging in the number ??
_________________

GMAT the final frontie!!!.

Director
Director
avatar
Joined: 11 Jun 2007
Posts: 931
Followers: 1

Kudos [?]: 173 [0], given: 0

Re: Quotient - [#permalink]

Show Tags

New post 02 Oct 2007, 22:03
alimad wrote:
When 10 is divided by the positive integer n, the remainder is n - 4, which of the following could be the value of n ?

(A). 3
(B). 4
(C). 7
(D). 8
(E). 12

= > 10 = n(q) + (n-4)

Used the plug in .

= > 10 / = 7 + (7 - 4)
= > 10 = 7(1) + 3

Is this the best approach. i.e plugging in the number ??


that's also how i approached the problem. seemed like the fastest and easiest method.
VP
VP
User avatar
Joined: 08 Jun 2005
Posts: 1146
Followers: 7

Kudos [?]: 187 [0], given: 0

 [#permalink]

Show Tags

New post 02 Oct 2007, 22:16
since:

10 = n*k+(n-4)

14 = n*(k+1)

If we factor 14 we get 2,7

so n could be either 2 or 7.

since 2 is not an option then n=7

The answer is (C)

:)
Manager
Manager
User avatar
Joined: 22 May 2007
Posts: 115
Followers: 1

Kudos [?]: 2 [0], given: 0

Re: Quotient - [#permalink]

Show Tags

New post 03 Oct 2007, 09:38
alimad wrote:
When 10 is divided by the positive integer n, the remainder is n - 4, which of the following could be the value of n ?

(A). 3
(B). 4
(C). 7
(D). 8
(E). 12



Is this the best approach. i.e plugging in the number ?
?


yes it's the fastest

by the way: you don't have to test 3 because the remainder can't be negative (n-4)
Re: Quotient -   [#permalink] 03 Oct 2007, 09:38
Display posts from previous: Sort by

When 10 is divided by the positive integer n, the remainder is n

  post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.