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

52 : 5 :: 100 : 7 :: 164 : ?

9

The logic followed here is :

52 : 5

Second number × 11 - 3

52 × 11 - 3  = 52

100 : 7

Second number × 15 - 5

7 × 15 - 5 = 105 - 5 = 100

 Therefore

Second number × 19 - 7

X × 19 - 7 = 164

19X = 164 + 7

19X = 171

X = 9