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      Question

      Select the option that is related to the third term in the

      same way as the second term is related to first term and the sixth term is related to the Fifth term. 57: 82 :: 91: ?::89: 153
      A 163 Correct Answer Incorrect Answer
      B 172 Correct Answer Incorrect Answer
      C 163 Correct Answer Incorrect Answer
      D 155 Correct Answer Incorrect Answer

      Solution

      The logic followed here is: The 2nd number is the sum of the square of the 1st digit of the 1st number and the 1st number. Similarly, the 6th number is the sum of the square of the 1st digit of the 5th number and the 5th number. So, the 4th number will be the sum of square of the 1st digit of the 3rd number and the 3rd number.

      '57: 82', = [(5)Β² + (57)] = 25 + 57 = 82.

      '89: 153', = [(8)Β² + (89)] = 64 + 89 = 153

      Similarly, in '91’: ?', = [(9)Β² + (91) ] = 81 + 91 = 172.

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