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Find the value of 'x' in the following number series :1, 2, 4, 4, 7, 6, 10, 8, x, 10, 16, 12.
Question

Find the value of 'x' in the following number series :
1, 2, 4, 4, 7, 6, 10, 8, x, 10, 16, 12.

A.

14

B.

18

C.

12

D.

13

Correct option is D

​Given:
1, 2, 4, 4, 7, 6, 10, 8, x, 10, 16, 12
Logic:
The series is divided into two parts:
Odd positions form an increasing series with a difference of +3.
Even positions form an increasing series with a difference of +2.
Odd-position terms: 1, 4, 7, 10, x, 16
=> 1 + 3 = 4, 4 + 3 = 7, 7 + 3 = 10, 10 + 3 = 13, 13 + 3 = 16
So, x = 13.
Even-position terms: 2, 4, 6, 8, 10, 12
=> Each term increases by +2, confirming the pattern.
Thus, correct option is (d).

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