Select the option that is related to the third number in the same way as the second number is related to the first number and the sixth number is related to the fifth number.

8 : 81 :: 12 : ? :: 11 : 144

169

8 : 81 :: 12 : ? :: 11 : 144

The logic followed here is:

(ist number +1) ² = iind number

AS we know

(8 + 1)² = (9)² = 81

and

(11 + 1)² = (12)² = 144

Similarly

(12 + 1)² = (13)² = 169