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If [x] and {x} represetnt the integral...

If `[x]` and `{x}` represetnt the integral and fractional parts of `x ,` respectively, then the value of `sum_(r=1)^(2000)({x+r})/(2000)` is (a)`x` (b) `[x]` (c) `{x}` (d) `x+2001`

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