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For x ∈ R, let [x] denote the greatest integer < x, then the sum of the series ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ − − + + ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ − − + ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ − − + ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ − 100 99 3 1 ..... 100 2 3 1 100 1 3 1 3 1 is :

1. – 153
2. – 135
3. – 133
4. – 131

Correct answer: – 133

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