If [x] denotes the greatest integer ≤ x, then [ 2 3 ]+ [ 2 3 + 1 99 ]+ [ 2 3 + 2 99 ]+ +…
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
If [x] denotes the greatest integer ≤ x, then
\(\left[\frac{2}{3}\right]+\left[\frac{2}{3}+\frac{1}{99}\right]+\left[\frac{2}{3}+\frac{2}{99}\right]+\ldots+\left[\frac{2}{3}+\frac{98}{99}\right]\) is equal to
\(\left[\frac{2}{3}\right]+\left[\frac{2}{3}+\frac{1}{99}\right]+\left[\frac{2}{3}+\frac{2}{99}\right]+\ldots+\left[\frac{2}{3}+\frac{98}{99}\right]\) is equal to
- 99
- 98
- 66
- 65
Answer
(C) 66
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