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      Question

      What will come in place of the question mark (?) in the

      following series? 50, 70, 110, 190, 310, ?
      A 655 Correct Answer Incorrect Answer
      B 457 Correct Answer Incorrect Answer
      C 772 Correct Answer Incorrect Answer
      D 510 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Differences:

      70 βˆ’ 50 = 20

      110 βˆ’ 70 = 40

      190 βˆ’ 110 = 80

      310 βˆ’ 190 = 120

      These are:

      20 = 20 Γ— (2 βˆ’ 1)

      40 = 20 Γ— (3 βˆ’ 1)

      80 = 20 Γ— (5 βˆ’ 1)

      120 = 20 Γ— (7 βˆ’ 1)

      Next prime = 11

      Next difference = 20 Γ— (11 βˆ’ 1) = 200

      Next term = 310 + 200 = 510

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