Select the option in which the numbers share the same relationship as that shared by the given pair of numbers.
12:20

The logic for the given pair 12:20 is based on the pattern $n(n+1):(n+1)(n+2)$:
* $12=3\times 4$
* $20=4\times 5$

Similarly, checking option D (30:42):

* $30=5\times 6$
* $42=6\times 7$

Both follow the exact same sequential multiplication logic.