If 0 x x ] is the greatest integer less than or equal to x, the number of possible values…
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
If 0 < x < 1000 and \(\left[\frac{x}{2}\right]+\left[\frac{x}{3}\right]+\left[\frac{x}{5}\right]=\frac{31}{30} x\), where [x] is the greatest integer less than or equal to x, the number of possible values of x is
- 34
- 32
- 33
- none of these
Answer
(C) 33
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