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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. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g., 25 - Operations on 25 such as adding/ subtracting/ multiplying etc. to 25 can be performed. Breaking down 25 into 2 and 5, and then performing mathematical operations on 2 and 5 is not allowed) 196: 225 :: 169: ? :: 81: 100
      A 121 Correct Answer Incorrect Answer
      B 256 Correct Answer Incorrect Answer
      C 144 Correct Answer Incorrect Answer
      D 196 Correct Answer Incorrect Answer

      Solution

      The logic followed here is: In each pair, 2nd number and 1st number are squares of consecutive natural numbers. In '196: 225': (14)² = 196; (15) ² = 225 In '81: 100': (9)² = 81; (10)² = 100 Similarly, in '169: ?': (13)² = 169; (14)² = 196

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