Correct option is C
The given series is: 31, 63, 127, 255, ?, 1023.
Observe the pattern:
Each number is one less than a power of 2.
31 is 2 raised to 5 minus 1 (i.e., 2⁵ – 1)
63 is 2⁶ – 1
127 is 2⁷ – 1
255 is 2⁸ – 1
The missing number should be 2⁹ – 1, which is 512 – 1 = 511
The last number 1023 is 2¹⁰ – 1
So, the correct number to fill in the blank is 511.
Final Answer: Option (C) 511