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JEE MATHEMATICS MCQ: COMBINATIONS

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Application +4 | -1
For x∈Rx \in {R}, let [x][x] denote the greatest integer ≤x\leq x, then value of [−13]+[−13−1100]\left[-\frac{1}{3}\right]+\left[-\frac{1}{3}-\frac{1}{100}\right] +[−13−2100]+…+[−13−99100]+\left[-\frac{1}{3}-\frac{2}{100}\right]+\ldots+\left[-\frac{1}{3}-\frac{99}{100}\right] is
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Correct option: C
−135-135
Option D (-135) is correct because it is the sum of the greatest integer function values for the given series.

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