Problem Solving (PS) | For integers x and y, when x is divided by y, the remainder

I have got one more;

let X=nY+R (n= some quotient, R=remainder)

or X=nY+2k+1 (2k+1=odd remainder)

Now if Y is even;

X=nY+2k+1=even+even+1=odd

and if Y is odd;

X=(odd or even)+(even)+1
=(odd or even)

So,
at least 1 of X and Y will always be Odd.


Kudos plz if you find this solution useful...
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