Correct option is B
Given: 15, 31, 63, 127, 255, ?
In this series following pattern is followed-
15 × 2 +1 = 30 + 1 = 31
31 × 2 +1 = 62 + 1 = 63
63 × 2 +1 = 126 + 1 = 127
127 × 2 +1 = 254 + 1 = 255
255 × 2 +1 = 510 + 1 = 511
Thus, the correct answer is (b) 511.