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      Question

      Find the wrong number in the given number series.

      3, 5, 9, 13, 21, 26, 45
      A 45 Correct Answer Incorrect Answer
      B 26 Correct Answer Incorrect Answer
      C 13 Correct Answer Incorrect Answer
      D 21 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Look at the series in terms of odd and even positions. Odd positions (1, 3, 5, 7): 3, 9, 21, 45 Pattern: multiply by 2, then add 3 3 × 2 + 3 = 9 9 × 2 + 3 = 21 21 × 2 + 3 = 45 Even positions (2, 4, 6): 5, 13, 26 Here, the intended pattern is: multiply by 2, then add 2 5 × 2 + 2 = 12 (but we have 13 in the series) 12 × 2 + 2 = 26 So the correct series should be: 3, 5, 9, 12, 21, 26, 45 Hence, 13 is the wrong term.

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