Question

From the given options, choose the correct one that will replace the question mark (?) in the following series: 2, 0, 3, 2, 4, 6, 5, 12, 6, ?, 7, 30

• A.
• B.
• C.
• D.

Hint:

In number series problems, break the series into alternating subsequences or identify patterns of addition, subtraction, multiplication, or division to find the missing number.

Answer 1

The Correct Option is D

Let's analyze the pattern in the series: The given series is: 2, 0, 3, 2, 4, 6, 5, 12, 6, ?, 7, 30 We can break the sequence into two alternating subsequences: - First subsequence (positions 1, 3, 5, 7, 9, 11): 2, 3, 4, 5, 6, 7 - This sequence is increasing by 1 each time. - Second subsequence (positions 2, 4, 6, 8, 10, 12): 0, 2, 6, 12, ?, 30 - This sequence is increasing by multiplying the previous number by 2 (0 * 2 = 0, 2 * 2 = 4, etc.). For the second subsequence, the missing number is 16, as 12 * 2 = 16. Thus, the correct answer is (D) 16.