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    Which of the following numbers will replace the question mark (?) in the given series? 16, 18, 27, 55, 120, ?
    Question

    Which of the following numbers will replace the question mark (?) in the given series?
    16, 18, 27, 55, 120, ?

    A.

    230

    B.

    246

    C.

    240

    D.

    510

    Correct option is B

    Given:

    Series 16, 18, 27, 55, 120, ?

    Logic:

    Differences between consecutive number 2, 9, 28, 65

    we observe the sequence of differences, they can be related to n3+1n^3+1

    13+1=21^3+1=2

    23+1=92^3+1=9

    33+1=283^3+1=28

    43+1=654^3+1=65

    53+1=1265^3+1=126

    So, next differences between consecutive number is 126

    Add this to the last term (120):

    120+ 126 = 246

    Thus, correct answer is (b)

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