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

8 : 36 :: 12 : ?

78

For ⇒ 8 : 36

The logic followed here is :

⇒ (1st no. × half of 1st no.) + half of 1st no.

⇒ (8 × 4) + 4 = 32 + 4  = 36 (given)

Similarly

For ⇒ 12 : ?

⇒ (1st no. × half of 1st no.) + half of 1st no.

⇒ (12 × 6) + 6 = 72 + 6 = 78