When the integer k is divided by 7, the remainder is 3. Which of the following expressions below when divided by 7, will have a remainder of 5?
I. 4k + 7
II. 6k + 1
III. 8k + 5	Answers
A) I only B) II only C) III only D) I and II only E) I, II and III
k = 7j + 3   4k + 7 = 28j + 12 + 7 = 28j + 14 + 5   6k + 1 = 42j + 18 + 1 = 42j + 14 + 5   8k + 5 = 56j + 24 + 5 = 56j + 28 + 1   The answer is I and II only.
<result>D</result>
When the integer k is divided by 7, the remainder is 3. Which of the following expressions below when divided by 7, will have a remainder of 5?
I. 4k + 7
II. 6k + 1
III. 8k + 5