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What is the remainder when the positive integer n is divided

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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Tue Sep 24, 2019 9:10 pm
BTGmoderatorDC 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

OA A

Source: GMAT Prep
Let's take each statement one by one.

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

n = k^3 + 3k^2 + 3k + 1

=> n/k = k^2 + 3k + 3 + 1/k

Thus, the remainder is 1. Sufficient.

(2) k = 5

Since do not have the finite value of n, we can't get the unique answer. Insufficient.

The correct answer: A

Hope this helps!

-Jay
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by swerve » Tue Oct 01, 2019 6:31 am
BTGmoderatorDC 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

OA A

Source: GMAT Prep
A is sufficient

\(n = (k + 1 )^3\)
Randomly put values \(k > 1\) i.e. 2, 3, 4, 5, 6, 7...
\(n = (2+1)^3 = 27\)
\(\frac{n}{k} = \frac{27}{2} =\) remainder 1

same as for 3,4,5,6,7,8...

so A is sufficient.

B. No details available

Therefore, A is the correct answer.
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