Answer

Correct Answer : b ) 111

Considering the given series

\(1 \over 2\), 0, 3, 13, X, 1101, 13223

To obtain the next number from the previous number, the following logic will be applied:

• The number is first multiplied by twice the position at which the number is.
• Then the series of first 6 odd natural numbers is subtracted or added from the number.
• If the number thus obtained is at the odd position, then a number from series of odd natural numbers is subtracted from it.
• If the number thus obtained is at even position, then a number from series of odd natural numbers is added to it.

The logic in the above series can be explained as

Thus, X = 111

Hence, (b) is the correct answer.

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