What is the remainder when the positive integer n is divided : DS Archive
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 16 Jan 2017, 14:35

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

What is the remainder when the positive integer n is divided

 post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Manager
Joined: 20 Mar 2005
Posts: 170
Followers: 2

Kudos [?]: 71 [0], given: 0

What is the remainder when the positive integer n is divided [#permalink]

Show Tags

24 May 2007, 05:46
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 1 sessions

HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

What is the remainder when the positive integer n is divided by the positive integer k, where k > 1?

(1) n = (k+1)3
(2) k = 5

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D. EACH statement ALONE is sufficient.

E. Statements (1) and (2) TOGETHER are NOT sufficient.
Manager
Joined: 19 Aug 2006
Posts: 217
Followers: 1

Kudos [?]: 44 [0], given: 0

Show Tags

24 May 2007, 06:00
Its C.
From both we can find that reminder is always 3.
Senior Manager
Joined: 03 May 2007
Posts: 271
Followers: 1

Kudos [?]: 11 [0], given: 0

Re: DS- remainder [#permalink]

Show Tags

24 May 2007, 06:06
Balvinder wrote:
What is the remainder when the positive integer n is divided by the positive integer k, where k > 1?

(1) n = (k+1)3
(2) k = 5

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D. EACH statement ALONE is sufficient.

E. Statements (1) and (2) TOGETHER are NOT sufficient.

I got C as the answer.
from statement 1 (3k+3)/k insuffuient k can be 2(remainder 1), 3 (remainder 0)
from statement 2 insufficient n can be anything

(1)+(2) we get ((3*5)+3)/5=remainder 3
SVP
Joined: 01 May 2006
Posts: 1797
Followers: 9

Kudos [?]: 149 [0], given: 0

Show Tags

24 May 2007, 06:14
(C) as well

n = s*k + r where 0 =< r < k and s is an integer.

r=?

From 1
n = (k+1)3
<=> n = 3*k + 3

o If k = 2, then n = 9 and n = 4*2 + 1 : the reminder is 1.
o If k = 3, then n = 12 and n = 4*3 + 0 : the reminder is 0.
o If k > 3, then n = 3*k + 3 : the reminder is 3 (0 =< 3 < k).

INSUFF.

From 2
k = 5... we have no clue about n.

INSUFF.

Both (1) & (2)
We know k=5 and so n=18.... and so 18 = 5*3 + 3 : the reminder is 3.

SUFF.
Intern
Joined: 22 Mar 2007
Posts: 8
Followers: 0

Kudos [?]: 1 [0], given: 0

Show Tags

24 May 2007, 13:27
What is the remainder when the positive integer n is divided by the positive integer k, where k > 1?

(1) n = (k+1)3
(2) k = 5

I found this question in GMAT prep.but with a diffrence in options.the first option in GMATprep is

(1)n=(K+1)^3

so if you want the answer to that question the answer is A beacause the remaider is always 1(you can check with the values K > 1), but if you want the answer for the question you have writen ,the answer is C.

Manager
Joined: 20 Mar 2005
Posts: 170
Followers: 2

Kudos [?]: 71 [0], given: 0

Show Tags

24 May 2007, 16:03
thanks majidi.

It was a mistype from my side .

correct question is

What is the remainder when the positive integer n is divided by the positive integer k, where k > 1?

(1) n = (k+1)^3
(2) k = 5

and OA is A as you explained.
24 May 2007, 16:03
Display posts from previous: Sort by

What is the remainder when the positive integer n is divided

 post reply 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®.