Which number will replace the question mark (?) in the following question?
1/2, 0, 3, 13, ?, 1101, 13223
Correct Answer : b ) 111Explanation :
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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