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

 It is currently 04 Jul 2015, 01:02

### 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

Author Message
TAGS:
Manager
Joined: 20 Mar 2005
Posts: 170
Followers: 2

Kudos [?]: 27 [0], given: 0

What is the remainder when the positive integer n is divided [#permalink]  24 May 2007, 05:46
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 1 sessions
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: 222
Followers: 1

Kudos [?]: 16 [0], given: 0

Its C.
From both we can find that reminder is always 3.
Senior Manager
Joined: 03 May 2007
Posts: 272
Followers: 1

Kudos [?]: 8 [0], given: 0

Re: DS- remainder [#permalink]  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: 1798
Followers: 8

Kudos [?]: 102 [0], given: 0

(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 [?]: 0 [0], given: 0

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 [?]: 27 [0], given: 0

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.
Similar topics Replies Last post
Similar
Topics:
16 What is the remainder when the positive integer n is divided 11 18 Sep 2011, 18:19
1 What is the remainder when the positive integer n is divided 8 17 Nov 2009, 09:50
What is the remainder when the positive integer n is divided 5 10 Sep 2008, 00:19
What is the remainder when the positive integer n is divided 10 18 Jan 2006, 18:58
Display posts from previous: Sort by