If [x] read as the greatest integer less than or equal to `x, {x}` is the least integer greater than or equal to x, Further, `f(x, y) = [x] + {y}` and `g(x, y) = {x} - {y}`
and `P (x,y) = f(x , y) +g(x,y)`
and `Q (x,y) = f(x,y) -g(x,y)`
If `x, y in I^(+) ` then `P(x, y) + Q(x,y)` is always:

Options

A. an even number
B. an odd number
C. can't say
D. none of these

Answer

A