To find the odd one in the given series, let's analyze the pattern:
The series starts with the number 1. Then, each subsequent number is obtained by multiplying the previous number by 2.
1 x 2 = 2
2 x 2 = 4
4 x 2 = 8
8 x 2 = 16
16 x 2 = 32
32 x 2 = 64
64 x 2 = 128
128 x 2 = 256
256 x 2 = 512
512 x 2 = 1024
1024 x 2 = 2048
2048 x 2 = 4096
4096 x 2 = 8192
Looking at the pattern, we can see that all the numbers in the series follow this rule, except for the number 16.
Therefore, the odd one in the series is 16.
Let's go through each option to understand why it is correct or incorrect:
Option A) 32 - This option is incorrect because 32 is part of the pattern and follows the rule of multiplying the previous number by 2.
Option B) 4 - This option is incorrect because 4 is part of the pattern and follows the rule of multiplying the previous number by 2.
Option C) 8192 - This option is incorrect because 8192 is part of the pattern and follows the rule of multiplying the previous number by 2.
Option D) 16 - This option is correct because 16 is the only number in the series that does not follow the rule of multiplying the previous number by 2.
The correct answer is D.