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What should come in place of the question mark (?) in the given series?31, 63, 127, 255, ?, 1023
Question

What should come in place of the question mark (?) in the given series?
31, 63, 127, 255, ?, 1023

A.

611

B.

411

C.

511

D.

711

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


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