Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 03 Jul 2015, 19:35

### 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 June
Open Detailed Calendar

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

Author Message
TAGS:
Director
Joined: 03 Jul 2003
Posts: 654
Followers: 2

Kudos [?]: 32 [0], given: 0

When 10 is divided by the positive integer n, the remainder is n [#permalink]  28 Jan 2004, 16:03
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
Joined: 03 Jul 2003
Posts: 654
Followers: 2

Kudos [?]: 32 [0], given: 0

rakesh1239 wrote:
C)7

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

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

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
Joined: 11 Oct 2003
Posts: 102
Location: USA
Followers: 1

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

Proof? [#permalink]  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
Joined: 30 Oct 2003
Posts: 1794
Location: NewJersey USA
Followers: 5

Kudos [?]: 43 [0], given: 0

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
Joined: 15 Sep 2006
Posts: 94
Followers: 1

Kudos [?]: 4 [0], given: 0

Remainder of division [#permalink]  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

Director
Joined: 26 Feb 2006
Posts: 905
Followers: 4

Kudos [?]: 58 [0], given: 0

Re: Remainder of division [#permalink]  20 Jun 2007, 14:12
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

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

under certain circumstances:

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

Kudos [?]: 17 [0], given: 0

C it is. 10/7 gives remainder of 3 and 7-4 =3.
Director
Joined: 30 Nov 2006
Posts: 591
Location: Kuwait
Followers: 13

Kudos [?]: 179 [0], given: 0

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]

P.S. a really good question.
VP
Joined: 08 Jun 2005
Posts: 1146
Followers: 6

Kudos [?]: 136 [0], given: 0

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

Current Student
Joined: 03 Oct 2006
Posts: 85
Followers: 1

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

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
Joined: 08 Jun 2005
Posts: 1146
Followers: 6

Kudos [?]: 136 [0], given: 0

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.

Director
Joined: 10 Feb 2006
Posts: 664
Followers: 3

Kudos [?]: 146 [0], given: 0

Quotient - [#permalink]  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
Joined: 11 Jun 2007
Posts: 932
Followers: 1

Kudos [?]: 80 [0], given: 0

Re: Quotient - [#permalink]  02 Oct 2007, 22:03
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
Joined: 08 Jun 2005
Posts: 1146
Followers: 6

Kudos [?]: 136 [0], given: 0

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

Manager
Joined: 22 May 2007
Posts: 115
Followers: 1

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

Re: Quotient - [#permalink]  03 Oct 2007, 09:38
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
Similar topics Replies Last post
Similar
Topics:
2 When 10 is divided by the positive integer n, the remainder 4 14 Mar 2014, 02:18
24 If the remainder is 7 when positive integer n is divided by 8 06 Mar 2012, 22:28
5 When positive integer n is divided by 5, the remainder is 1. When n is 8 09 Apr 2011, 15:08
7 When 10 is divided by the positive integer n, the remainder 34 15 Sep 2008, 13:33
1 When 777 is divided by positive integer n, the remainder is 13 03 Apr 2008, 03:42
Display posts from previous: Sort by