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)
(4, 39), (5, 100)

Logic: first number is cubed and 25 is subtracted in the resultant to get second number.

Let's first analyze the relationship between the numbers in the given pairs:

(4, 39):

Cube of 4: 4³=64

Subtract 25: 64-25=39

(5, 100):

Cube of 5: 5³=125

Subtract 25: 125-25=100

Now,

Cube of 6: 6³=216

Subtract 25: 216−25=191, not 192.

So, this is not correct.

Cube of 3: 3³=27

Subtract 25: 27−25=2 This matches,

so this is Correct answer.

Cube of 9: 9³=729

Subtract 25: 729−25=704, not 684.

So, this is not correct.

Cube of 12: 12³=1728

Subtract 25: 1728−25=1703, not 153.

So, this is not correct.

Thus, correct option is (b).