It is given that a bacterium divides every 35 minutes. At 0 minutes, the culture contains 10\\\\(^5\\\\) cells/mlAfter 35 minutes, the culture will contain 2\\\\(^1\\\\) x 10\\\\(^5\\\\) cells /mlSimilarly, after 175 minutes, that is after 5 generations, the number of cells will be 2\\\\(^5\\\\) x 10\\\\(^5\\\\) cells/mlThis is equal to 32 x 10\\\\(^5\\\\) cells/mlThus, the correct answer is '32 x 10\\\\(^5\\\\).'