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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 − 50 = 20

    110 − 70 = 40

    190 − 110 = 80

    310 − 190 = 120

    These are:

    20 = 20 × (2 − 1)

    40 = 20 × (3 − 1)

    80 = 20 × (5 − 1)

    120 = 20 × (7 − 1)

    Next prime = 11

    Next difference = 20 × (11 − 1) = 200

    Next term = 310 + 200 = 510

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