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

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. For example: 13 – Operations on 13 such as adding/subtracting/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.)

(13, 17, 23)

(8, 12, 18)

The correct option is (18, 22, 28).

To find the correct set, let us analyze the relationship between the numbers in the given sets:

First given set: (13, 17, 23)
Let us find the differences between consecutive numbers:
$17-13=4$
$23-17=6$

Second given set: (8, 12, 18)
Similarly, checking the differences between consecutive numbers:
$12-8=4$
$18-12=6$

The common pattern is:
Second number = First number + 4
Third number = Second number + 6

Now, let us test the options to see which set follows this pattern:

Option 1: (17, 21, 15)
$21-17=4$
$15-21=-6$ (Does not follow the pattern)

Option 2: (18, 22, 28)
$22-18=4$
$28-22=6$ (Follows the pattern)

Option 3: (11, 15, 23)
$15-11=4$
$23-15=8$ (Does not follow the pattern)

Option 4: (5, 9, 16)
$9-5=4$
$16-9=7$ (Does not follow the pattern)

Therefore, the numbers in the set (18, 22, 28) are related in the same way as the numbers of the given sets.