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.)

(4, 12, 48)

(9, 27, 108)

The correct answer is option (13, 39, 156).

Logic/Pattern:

Let the set of numbers be denoted as (First Number, Second Number, Third Number).

The relationship between the numbers in each set is as follows:

• Second Number = First Number × 3

• Third Number = Second Number × 4

Step-by-Step Verification of Given Sets:

Set 1: (4, 12, 48)

• Second number calculation:

$4\times 3=12$

• Third number calculation:

$12\times 4=48$

This matches the first set (4, 12, 48).

Set 2: (9, 27, 108)

• Second number calculation:

$9\times 3=27$

• Third number calculation:

$27\times 4=108$

This matches the second set (9, 27, 108).

Applying the Pattern to the Options:

Let's check the set (13, 39, 156):

• Second number calculation:

$13\times 3=39$

• Third number calculation:

$39\times 4=156$

The set (13, 39, 156) follows the exact same mathematical logic as the given sets.