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      Question

      Find the missing number in the given number series.

      98, 89, 114, 50, 194, ?
      A -95 Correct Answer Incorrect Answer
      B 59 Correct Answer Incorrect Answer
      C -77 Correct Answer Incorrect Answer
      D 33 Correct Answer Incorrect Answer

      Solution

      ATQ, 98 β†’ 89 : 98 βˆ’ 3Β² = 98 βˆ’ 9 = 89 89 β†’ 114 : 89 + 5Β² = 89 + 25 = 114 114 β†’ 50 : 114 βˆ’ 8Β² = 114 βˆ’ 64 = 50 50 β†’ 194 : 50 + 12Β² = 50 + 144 = 194 Squares used: 3Β², 5Β², 8Β², 12Β² Bases: 3, 5, 8, 12 (increase by +2, +3, +4) Next increase = +5 β‡’ next base = 17 So next term = 194 βˆ’ 17Β² = 194 βˆ’ 289 = -95

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