Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(55,11,25)
(64,16,16)
(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)

Correct option is A

Given sets:

Set 1: (55, 11, 25): 55 ÷ 11 = 5, and the third number is 25, which is the square of 5. So, the logic holds for this set.

Set 2: (64, 16, 16): 64 ÷ 16 = 4, and the third number is 16, which is the square of 4. The logic holds for this set as well.

Now, let's apply this logic to the options:

Option A: (33, 11, 9): 33 ÷ 11 = 3, but the third number is 9, which is 3 squared. So, this option fits the logic.

Option B: (33, 11, 22): 33 ÷ 11 = 3, but the third number is 22, which is not the square of 3. This option does not fit.

Option C: (33, 11, 3): 33 ÷ 11 = 3, but the third number is 3, which is not the square of 3. This option does not fit.

Option D: (33, 11, 10): 33 ÷ 11 = 3, but the third number is 10, which is not the square of 3. This option does not fit.

Conclusion:

The correct answer is Option A: (33, 11, 9), as it follows the same logic where the third number is the square of the result of dividing the first number by the second.