Question

# For x R, let [x] denote the greatest integer x, then value of++ +…+is -

- –100
- –123
- –135
- –153

## The correct answer is: –135

### For 0 r 66, 0 <

– < – 0

– – < – – –

= –1 for 0 r 66

Also, for 67 r 100, 1

–1 – –

– – 1 – – – –

= –2 for 67 r 100

Hence, = 67(–1) + 2(–34) = –135.

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