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
(1) n= (k+1)^3
(2) k=5
OA A
Source: GMAT Prep
Let's take each statement one by one.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
(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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