NandishSS wrote:For a positive integer n, when 12n is divided by 15, which of the following cannot be the remainder?
A. 0
B. 3
C. 5
D. 6
E. 9
In other words:
12n is equal to a MULTIPLE OF 15 plus a remainder.
Translated into math:
12n = 15a + R
12n - 15a = R
3(4n - 5a) = R.
The resulting equation indicates that R must be a multiple of 3.
Of the 5 answer choices, only
C is not divisible by 3.
The correct answer is
C.
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