1.

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:

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an EVEN number
an ODD number
can't say
none of these

Answer :A


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