Select the set in which the numbers are related in the same way as are the numbers of the given sets.

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding/deleting/multiplying, etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

(9, 36, 12)

(12, 48, 16)

The correct answer is (21, 84, 28).

Pattern / Logic:

For each given set of numbers ($A$, $B$, $C$), the numbers follow the relationship:

$B=A\times 4$

and

$B=C\times 3$

Verification of Given Sets:

1. First set: (9, 36, 12)
- Second number: $9\times 4=36$
- Check with third number: $12\times 3=36$

2. Second set: (12, 48, 16)
- Second number: $12\times 4=48$
- Check with third number: $16\times 3=48$

Evaluating the Correct Option:

For the set (21, 84, 28):
- Second number: $21\times 4=84$
- Check with third number: $28\times 3=84$

Therefore, the set (21, 84, 28) follows the identical logic as the given sets.