Question

If x leaves the remainder 1 when divided by y .Then what are the possible remainders when x+1 is divided by y .

Answer 1

The number $x$ must be of the form $ny+1$ where $n$ is natural .

So $x+1$ is of the form $ny+2$

So possible remainders when $x+1$ is divided by $y$ are equivalent to possible remainders when $2$ is divide by $y.$

So the possible remainders are $0,1,2.$