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)
(6, 7, 98)
(8, 10, 182)
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. (4, 5, 50).
Logic: Third number = [{(First number)2 + (Second number)2} + (First number + Second number)]
(6, 7, 98) ⇒ [{(6)2 + (7)2} + (6 + 7)] ⇒ [(36 + 49) + (6 + 7)] ⇒ (85 + 13) = 98
(8, 10, 182) ⇒ [{(8)2 + (10)2} + (8 + 10)] ⇒ [(64 + 100) + (8 + 10)] ⇒ (164 + 18) = 182
Similarly,
(4, 5, 50) ⇒ [{(4)2 + (5)2} + (4 + 5)] ⇒ [(16 + 25) + (4 + 5)] ⇒ (41 + 9) = 50
Hence, the correct answe is (4, 5, 50).