For x∈R, let [x] denote the greatest integer... | Functions | JEE Main 2019

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JEE MAIN 2019

12-04-2019-S-1

Question

For $x \in R$, let $[x]$ denote the greatest integer $\leq x$, then the sum of the series $\left[-\frac{1}{3}\right]+\left[-\frac{1}{3}-\frac{1}{100}\right]+\left[-\frac{1}{3}-\frac{2}{100}\right]+\ldots . .+\left[-\frac{1}{3}-\frac{99}{100}\right]$ is

Select the correct option:

A

–135

B

–153

C

–133

D

–131

✓ Correct! Well done.

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Solution

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