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    Question

    Four number-pairs are given, out of which three are

    alike in a certain manner and one is different. Choose the different number-pair.
    A 579: 232 Correct Answer Incorrect Answer
    B 663: 162 Correct Answer Incorrect Answer
    C 746: 101 Correct Answer Incorrect Answer
    D 498: 332 Correct Answer Incorrect Answer

    Solution

    The square of each digit of the first number is added together and then, the resultant is multiplied by 2 to obtain the second number.

    579: 232 → [2 × {(5)² + (7)² + (9)² }] = [2 × {25 + 49 + 81}]= [2 × 155] = 310.

    663: 162 → [2 × {(6)² + (6)² + (3)² }] = [2 × {36 + 36 + 9}]= [2 × 81] = 162

    746: 101 → [2 × {(7)² + (4)² + (6)² }] = [2 × {49 + 16 + 36}] = [2 × 101] = 101

    498: 332 → [2 × {(4)² + (9)² + (8)² }] = [2 × {16 + 81 + 64}] = [2 × 161] = 322

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