In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Select the pair in which the numbers are related in the same way as are the numbers of the following pairs. (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.)

52, 81

72, 101

The correct option is 75, 104.

Step-by-step Explanation:

Let us analyze the relationship between the numbers in the given pairs:

First given pair: 52, 81

To find the second number from the first number, we calculate the difference:

$81-52=29$

Thus, $52+29=81$.

Second given pair: 72, 101

Checking the difference for the second pair:

$101-72=29$

Thus, $72+29=101$.

Pattern Logic:

The rule applied to each pair is: $\text{Second Number}=\text{First Number}+29$.

Now, let us check each option to see which one follows the same rule:

1. 84, 107:

$84+29=113\ne 107$ (Incorrect)

2. 75, 104:

$75+29=104$ (Correct)

3. 79, 102:

$79+29=108\ne 102$ (Incorrect)

4. 53, 76:

$53+29=82\ne 76$ (Incorrect)

Therefore, the pair 75, 104 shares the exact same pattern and relationship as the given pairs.