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)
(36, 24, 65)
(40, 54, 19)
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. (20, 18, 16).
Logic: Third number = [(First number ÷ 4)2 - (Second number ÷ 6)2]
(36, 24, 65) ⇒ [(36 ÷ 4)2 - (24 ÷ 6)2] ⇒ [(9)2 - (4)2] ⇒ (81 - 16) = 65
(40, 54, 19) ⇒ [(40 ÷ 4)2 - (54 ÷ 6)2] ⇒ [(10)2 - (9)2] ⇒ (100 - 81) = 19
Similarly,
(20, 18, 16) ⇒ [(20 ÷ 4)2 - (18 ÷ 6)2] ⇒ [(5)2 - (3)2] ⇒ (25 - 9) = 16
Hence, the correct answer is (20, 18, 16).