# N is a positive integer.

N is a positive integer. When N + 1 is divided by 3, the remainder is 2. What is the remainder when N is divided by 3?

## Answer/Solution

1

### Steps/Work

N+1 = 3a+2

i.e. N+1 = 5, 8, 11, 14, ... etc.

i.e. N = 4, 7, 10, 13, ... etc.

When N is divided by 3 Remainder is always 1

Answer: A

i.e. N+1 = 5, 8, 11, 14, ... etc.

i.e. N = 4, 7, 10, 13, ... etc.

When N is divided by 3 Remainder is always 1

Answer: A