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.)

(247, 349)

(261, 363)

The correct option is (294, 396).

Logic/Pattern:

In each given set of numbers (A, B), the difference between the second number and the first number is constant and equal to 102.

$B-A=102$

Verifying the given sets:

First set (247, 349):

$349-247=102$

Second set (261, 363):

$363-261=102$

Checking the options:

1. (282, 382): $382-282=100$ (Does not follow the pattern)

2. (294, 396): $396-294=102$ (Follows the pattern)

3. (253, 358): $358-253=105$ (Does not follow the pattern)

4. (265, 369): $369-265=104$ (Does not follow the pattern)

Hence, the set (294, 396) shares the same relationship as the original sets.