Three of the following four options are alike in a certain way and thus form a group. Which is the one that does NOT belong to that group?
(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.)
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 82 – 8 – 2.
Logic: (2nd number)2 + (3rd number)3 = 1st number
Option 1) 360 – 12 – 6 → 122 + 63 = 144 + 216 = 360
Option 2) 82 – 8 – 2 → 82 + 23 = 64 + 8 = 72 (not 82)
Option 3) 63 – 6 – 3 → 62 + 33 = 36 + 27 = 63
Option 4) 164 – 10 – 4 → 102 + 43 = 100 + 64 = 164