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

(16, 48 , 4)

(24, 72, 6)

The correct option is (20, 60, 5).

To find the correct set, let us analyze the relationship between the numbers in the given sets: (A, B, C).

Let the first number be represented as A, the second as B, and the third as C.

By observing the pattern in the given sets, we can establish the following mathematical relationship:

$A\; =\; 4\; \times \; C$

and

$B\; =\; 3\; \times \; A$ (which is also equivalent to $B\; =\; 12\; \times \; C$)

Let us verify this logic with the given sets:

First Set: (16, 48, 4)
Here, A = 16, B = 48, and C = 4.
Applying the logic:
$16\; =\; 4\; \times \; 4$ (True)
$48\; =\; 3\; \times \; 16$ (True)

Second Set: (24, 72, 6)
Here, A = 24, B = 72, and C = 6.
Applying the logic:
$24\; =\; 4\; \times \; 6$ (True)
$72\; =\; 3\; \times \; 24$ (True)

Now, let us test the correct option (20, 60, 5) using the same relationship:
Here, A = 20, B = 60, and C = 5.
Applying the logic:
$20\; =\; 4\; \times \; 5$ (True)
$60\; =\; 3\; \times \; 20$ (True)

Therefore, the set (20, 60, 5) follows the exact same logic as the given sets.