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      Question

      In each of the following number series, one term is

      missing. Find the missing term. 160, 153, 141, 122, 94, ?, 3
      A 85 Correct Answer Incorrect Answer
      B 30 Correct Answer Incorrect Answer
      C 55 Correct Answer Incorrect Answer
      D 47 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Observe the differences: 153 - 160 = -7 141 - 153 = -12 122 - 141 = -19 94 - 122 = -28 ? - 94 = -39 3 - ? = -52 Now second differences are: -12 - (-7) = -5 -19 - (-12) = -7 -28 - (-19) = -9 -39 - (-28) = -11 -52 - (-39) = -13 So the pattern is based on subtracting numbers whose second differences are consecutive odd negatives. Missing term = 94 - 39 = 55 Hence, the missing term is 55.

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