When the integer n is divided by 8, the remainder is 3. What is the remainder if 6n is divided by 8 ?
A. 0
B. 2
C. 1
D. 3
Answer : B. 2
Explanation:
When n is divided by 8, the remainder is 3 may be written as
n = 8 k + 3
Multiply all terms by 6
6 n = 6(8 k + 3) = 8(6k) + 18
Write 18 as 16 + 2 since 16 = 8 * 2.
= 8(6k) + 16 + 2
Factor 8 out.
= 8(6k + 2) + 2
The above indicates that if 6n is divided by 8, the remainder is 2. The answer is B.
