Correct option is A
Given: 12 : 20 :: 30 : ? :: 56 : 72
Logic: Second number = (a+1)(b+1);
where a and b is factor of first number
According to the logic number series will be:
20 = (3+1) (4+1); where 3,4 is the fraction of 12
? = (5+1) (6+1); where 5,6 is the fraction of 30
? = 42
72 = (7+1) (8+1); where 7,8 is the fraction of 56
Thus, the correct option is (a) 42