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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 468: 232 Correct Answer Incorrect Answer
      B 552: 108 Correct Answer Incorrect Answer
      C 635: 140 Correct Answer Incorrect Answer
      D 387: 242 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. 468: 232 → [2 × {(4)² + (6)² + (8)² }] = [2 × {16 + 36 + 64}]= [2 × 116] = 232. 552: 108 → [2 × {(5)² + (5)² + (2)² }] = [2 × {25 + 25 + 4}]= [2 × 54] = 108 635: 140 → [2 × {(6)² + (3)² + (5)² }] = [2 × {36 + 9 + 25}] = [2 × 70] = 140 387: 242 → [2 × {(3)² + (8)² + (7)² }] = [2 × {9 + 64 + 49}] = [2 × 122] = 244

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