Question
Three of the following four options are alike in a certain way and thus form a group. Which is the option 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.)
Solution
In each group, the relationship is: The sum of the cubes of the first and second numbers equals the third number. Option A: '4 - 2 - 72' → 4³ + 2³ = 64 + 8 = 72. Option B: '5 - 3 - 116' → 5³ + 3³ = 125 + 27 = 152. Option C: '2 - 6 - 224' → 2³ + 6³ = 8 + 216 = 224. Option D: '3 - 4 - 91' → 3³ + 4³ = 27 + 64 = 91.
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