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Select the number from the given options that will replace the question mark in the given series.2, 4, 3, 3, 9, 6, 4, 16, ?, 5, 25, 15
Question

Select the number from the given options that will replace the question mark in the given series.
2, 4, 3, 3, 9, 6, 4, 16, ?, 5, 25, 15

A.

20

B.

10

C.

15

D.

18

Correct option is B

Given series: 2, 4, 3, 3, 9, 6, 4, 16, ?, 5, 25, 15
Logic Analysis:
First Pattern (Squares Logic):
The 2nd term is the square of the 1st term: 22 = 4
The 5th term is the square of the 4th term: 32 = 9
The 8th term is the square of the 7th term: 42 = 16
The 11th term is the square of the 10th term: 52 = 25
Second Pattern (Incremental Addition):
3rd term: 3
6th term: 6 = (3 + 3)
9th term: ? = (6 + 4)
12th term: 15 = (10 + 5)
Using this pattern:
For the 9th term, add 4 to the previous term in this series (6):
6 + 4 = 10
Therefore, the missing term (9th term) is 10.
Correct answer: (b) 10

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