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# What is the remainder when the positive integer n is divided

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

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24 May 2007, 06:46
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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
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24 May 2007, 07:00
Its C.
From both we can find that reminder is always 3.
Senior Manager
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24 May 2007, 07:06
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
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24 May 2007, 07:14
(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.
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24 May 2007, 14:27
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
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24 May 2007, 17:03
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, 17:03
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