When a positive integer k is divided by 7, the remainder is 6. What is the remainder when k+2 is divided by?
It is 1.
If a independent integer k has a difference 6 when it is separated by 7, it is of the form:
##k = 7n + 6##, where n is an integer.
Hence, k+2 would keep such a form:
##k+2 = 7n + 6 + 2 = 7n + 8 = 7(n+1) + 1##
Here, (n+1) is frequently an integer, and the difference would be 1.