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

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)

(4, 3, 16)

(6, 4, 28)

The correct option is (8, 2, 20).

To find the correct relation, let us analyze the pattern followed by the numbers in the given sets:
Let the numbers in the set be represented as ($a$, $b$, $c$).

The logic applied here is:
$c=(a\times b)+4$

Let us verify this logic with the given sets:

First Set: (4, 3, 16)
Here, $a=4$, $b=3$
Applying the logic:
$(4\times 3)+4=12+4=16$
This matches the third number ($c=16$).

Second Set: (6, 4, 28)
Here, $a=6$, $b=4$
Applying the logic:
$(6\times 4)+4=24+4=28$
This matches the third number ($c=28$).

Now, let us test the options to find the one that follows the same logic:

Option 1: (5, 2, 49)
$(5\times 2)+4=10+4=14\ne 49$ (Incorrect)

Option 2: (8, 2, 20)
$(8\times 2)+4=16+4=20$ (Correct, as it matches the third number)

Option 3: (8, 1, 18)
$(8\times 1)+4=8+4=12\ne 18$ (Incorrect)

Option 4: (3, 2, 12)
$(3\times 2)+4=6+4=10\ne 12$ (Incorrect)

Therefore, the set that shares the same relationship is (8, 2, 20).