Correct option is A
Given: 20 : 5 :: 56 : 8 :: 12 : 4 :: 42 : ?
Logic: (2nd Number)2 − 2nd Number = 1st Number
In 20 : 5
(5)2- 5 = 25 - 5 = 20
In 56 : 8
(8)2- 8 = 64 - 8 = 56
In 12 : 4
(4) 2- 4 = 16 - 4 = 12
In 42 : ?
Take ? = 7 (from the Options)
(7)2- 7 = 42 (satisfied)
Thus, the correct option is (a) 7