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

3 — 20 — 5

4 — 17 — 3

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/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)

The correct option is 9 — 77 — 8.

To find the correct set, we need to determine the mathematical relationship between the numbers in the given sets. Let the three numbers in each set be represented as:
(First number, Second number, Third number) = (A, B, C)

Let's analyze the relationship in the first two sets:

1) For the set 3 — 20 — 5:

$A\times C+5=B$

$3\times 5+5=15+5=20$

2) For the set 4 — 17 — 3:

$4\times 3+5=12+5=17$

The common logic applied here is: (First number × Third number) + 5 = Second number.

Now, let's test the options using this logic:

• 8 — 36 — 11:

$8\times 11+5=88+5=93\ne 36$

• 5 — 28 — 9:

$5\times 9+5=45+5=50\ne 28$

• 9 — 77 — 8:

$9\times 8+5=72+5=77$

This matches the middle number (77) perfectly.

• 11 — 28 — 5:

$11\times 5+5=55+5=60\ne 28$

Therefore, the set that shares the same relationship is 9 — 77 — 8.