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.)

(136, 220, 84)
(144, 240, 96)

The correct answer is (140, 238, 98).

To find the correct set, let us analyze the mathematical relationship between the numbers in the given sets: (136, 220, 84) and (144, 240, 96).

Let the three numbers in each set be represented as A, B, and C respectively.

For the first set (136, 220, 84):

$A+C=136+84=220=B$

For the second set (144, 240, 96):

$A+C=144+96=240=B$

The logical pattern followed here is:

$\mathrm{First\; Number}+\mathrm{Third\; Number}=\mathrm{Second\; Number}$

Now, let us verify the options to see which set follows this relation:

1) (156, 210, 56):
$156+56=212\ne 210$

2) (164, 254, 92):
$164+92=256\ne 254$

3) (140, 238, 98):
$140+98=238$
This set satisfies the relation.

4) (152, 260, 88):
$152+88=240\ne 260$

Therefore, the set that is related in the same way is (140, 238, 98).