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)

(21, 105, 35)

(27, 135, 45)

The correct option is (39, 195, 65).

Pattern / Logic:

Let the numbers in each set be represented as $(A,B,C)$.

The relationship between the numbers in each set follows two simple arithmetic operations:

1. The second number ($B$) is obtained by multiplying the first number ($A$) by 5:

$B=A\times 5$

2. The third number ($C$) is obtained by dividing the second number ($B$) by 3:

$C=\frac{B}{3}$

Verification of Given Sets:

First Set: (21, 105, 35)

$B=21\times 5=105$

$C=\frac{105}{3}=35$

The pattern holds true for the first set.

Second Set: (27, 135, 45)

$B=27\times 5=135$

$C=\frac{135}{3}=45$

The pattern holds true for the second set.

Checking Option (39, 195, 65):

$B=39\times 5=195$

$C=\frac{195}{3}=65$

Therefore, the set (39, 195, 65) follows the exact same pattern as the given sets.