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The sum of [1/2]+[1/2+1/(2000)]+[1/2+2/(...

The sum of `[1/2]+[1/2+1/(2000)]+[1/2+2/(2000)]+[1/2+3/(2000)]++[1/2+(1999)/(2000)]` where [.] denote the greatest integer function, is equal to:

A

1000

B

999

C

1001

D

none of these

Text Solution

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The correct Answer is:
A
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