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.)

(14 , 42, 3)

(12, 60, 5)

The correct option is (13 , 39 , 3).

Let us analyze the relationship between the numbers in the given sets. Let the three numbers in a set be represented as (First Number, Second Number, Third Number).

Pattern / Logic:

The second number is obtained by multiplying the first number by the third number.

$\text{First Number}\times \text{Third Number}=\text{Second Number}$

Let us verify this rule with the given sets:

1. First Set: (14, 42, 3)

$14\times 3=42$

2. Second Set: (12, 60, 5)

$12\times 5=60$

Now, let us test the given options to find which one follows the same rule:

Option 1: (15, 45, 4)

$15\times 4=60\ne 45$ (Incorrect)

Option 2: (11, 55, 6)

$11\times 6=66\ne 55$ (Incorrect)

Option 3: (13, 39, 3)

$13\times 3=39$ (Correct)

Option 4: (16, 42, 2)

$16\times 2=32\ne 42$ (Incorrect)

Thus, the set (13 , 39 , 3) follows the exact same pattern as the given sets.