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 their 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.)
(12, 8, 80)
(16, 10, 131)
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. (9, 6, 54)
The logic is used here:
Third number = (First number)2 - (Second number ÷ 2)3
(12, 8, 80) = (12)2 - (8 ÷ 2)3 = 144 - 43 = 144 - 64 = 80
(16,10,131) = (16)2 - (10 ÷ 2)3 = 256 - 53 = 256 - 125 = 131
Similarly,
(9, 6, 54) = (9)2 - (6 ÷ 2)3 = 81 - 27 = 54