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/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, 91, 27)

(19, 133, 39)

The correct option is (20, 140, 41).

To find the correct set, let us analyze the relationship between the numbers in the given sets: $(a,b,c)$.

Analysis of Set 1: (13, 91, 27)
Here, $a=13$, $b=91$, and $c=27$.
If we multiply the first number by 7, we get the second number:
$b=13\times 7=91$
If we multiply the first number by 2 and add 1, we get the third number:
$c=(13\times 2)+1=26+1=27$

Analysis of Set 2: (19, 133, 39)
Here, $a=19$, $b=133$, and $c=39$.
Applying the same operations:
$b=19\times 7=133$
$c=(19\times 2)+1=38+1=39$

Thus, the logic establishing the relation in the sets $(a,b,c)$ is:
1) $b=a\times 7$
2) $c=(a\times 2)+1$

Now, let us verify the correct option (20, 140, 41) using the same logic:
Here, $a=20$.
Second number: $b=20\times 7=140$
Third number: $c=(20\times 2)+1=40+1=41$

Since the logic matches perfectly, (20, 140, 41) is the correct relation.