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

 It is currently 22 May 2015, 02:30

### 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 85 divided by n, the remainder is 7. When 85 divided by

 Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Senior Manager
Joined: 14 Jul 2006
Posts: 281
Followers: 1

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

When 85 divided by n, the remainder is 7. When 85 divided by [#permalink]  19 Aug 2006, 08:11
When 85 divided by n, the remainder is 7. When 85 divided by 2n, the remainder is n+7. n=?

OA=26
GMAT Instructor
Joined: 04 Jul 2006
Posts: 1269
Followers: 23

Kudos [?]: 161 [0], given: 0

[#permalink]  19 Aug 2006, 12:47
It would proabably be smarter to use POE here, but here's a quick solution

When 85 is divided by n, the remainder is 7 i.e. 85=nk+7 for some integer k

So nk=78

k could be {1,2,3,6,13,26,39,78}
n could be {78,39,26,13...}

When 85 is divided by 2n, the remainder is n+7

n......2n.......remainder when 85 is divided by 2n

78.....156............85
39...... 78.......... 7 reject
26...... 52.......... 33
13...... 26.......... 7 reject
6........ 12.......... less than 12, reject

I think n could be 78 or 26
CEO
Joined: 20 Nov 2005
Posts: 2913
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
Followers: 18

Kudos [?]: 127 [0], given: 0

[#permalink]  20 Aug 2006, 01:40
kevincan wrote:
It would proabably be smarter to use POE here, but here's a quick solution

When 85 is divided by n, the remainder is 7 i.e. 85=nk+7 for some integer k

So nk=78

k could be {1,2,3,6,13,26,39,78}
n could be {78,39,26,13...}

When 85 is divided by 2n, the remainder is n+7

n......2n.......remainder when 85 is divided by 2n

78.....156............85
39...... 78.......... 7 reject
26...... 52.......... 33
13...... 26.......... 7 reject
6........ 12.......... less than 12, reject

I think n could be 78 or 26

Exactly same except: I dit not test for n <= 7 because remainder of 85/n is 7 so n can not be less than equal to 7.
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

VP
Joined: 02 Jun 2006
Posts: 1267
Followers: 2

Kudos [?]: 42 [0], given: 0

[#permalink]  20 Aug 2006, 09:08
Given
85 = n x m + 7
85 =2nx k + n+ 7

where m and k are two integers

n x m + 7 = 2n x k+ n + 7

or n x m = n x (2k+1)

or n(m-2k+1) = 0

or m = 2k+1

This implies m is odd i.e. multiple of n is odd.

As remainder is 7 in both cases, factoring 85-7 = 78

78 = 2 x 39 = 2x3x13

As we know that m is odd, 78 = 6x13 or 78 = 26x3
where m = 13 or 3 and n = 26 or 6

Eliminate:
For n = 6:
85 = 6x13 +7
85 =12x6 + (6+7) ===> Cannot be as m is odd eliminate n = 6.

For n = 26:
85 = 26x3 + 7
85 = 52x1+ (26+7)

Senior Manager
Joined: 14 Jul 2006
Posts: 281
Followers: 1

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

[#permalink]  20 Aug 2006, 09:17
As usual thanks Haas
[#permalink] 20 Aug 2006, 09:17
Similar topics Replies Last post
Similar
Topics:
22 If the remainder is 7 when positive integer n is divided by 8 06 Mar 2012, 22:28
What is the remainder when 7^n + 2 is divided by 5 (1) when 2 19 Jun 2008, 03:51
When N is divided by T , the quotient is S and the remainder 3 09 May 2008, 14:02
When 85 divided by n, the remainder is 7. When 85 divided by 1 20 Aug 2006, 16:10
The remainder of 85/n is 7 and the remainder of 85/2n is 1 06 May 2006, 03:23
Display posts from previous: Sort by

# When 85 divided by n, the remainder is 7. When 85 divided by

 Question banks Downloads My Bookmarks Reviews Important topics

 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®.