Select the set in which the numbers are related in the same way as are the numbers of the following set.
(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).
(24, 9, 21)
(34, 16, 33)

Correct option is D

Given:
Select the set in which the numbers are related in the same way as are the numbers of the following set.
(24, 9, 21)
(34, 16, 33)
Logic:
Third Number=(First Number²)+Second Number

(24, 9, 21)
(24 ÷ 2) + 9 = 12 + 9 = 21

(34, 16, 33)
(34 ÷ 2) + 16 = 17 + 16 = 33

Now check the options:
A. (34, 8, 28)
(34 ÷ 2) + 8 = 17 + 8 = 25 ≠ 28

B. (53, 6, 34)
(53 ÷ 2) + 6 = 26.5 + 6 = 32.5 ≠ 34

C. (43, 17, 41)
(43 ÷ 2) + 17 = 21.5 + 17 = 38.5 ≠ 41 → Wait, check again, but logic expects whole numbers, so 43 doesn't fit.

D. (42, 9, 30)
(42 ÷ 2) + 9 = 21 + 9 = 30

Final Answer:
The correct set is (42, 9, 30).
Final Correct Option:
(D) ️

Alternative emthod: