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    The number in place of the question mark (?) in the given number series, is : 12, 6, 18, 9, 26, 13, 36, 18, ?
    Question

    The number in place of the question mark (?) in the given number series, is :
    12, 6, 18, 9, 26, 13, 36, 18, ?

    A.

    48

    B.

    21

    C.

    46

    D.

    60

    Correct option is A

    Identify the pattern

    The series alternates between two sequences:

    Sequence 1 (Odd-position terms):

    12 → 18 → 26 → 36 → ?

    Sequence 2 (Even-position terms):

    6 → 9 → 13 → 18

    Step 2: Combine the series

    The missing term is the next odd-position term: 48.

    Final Answer:

    1. Odd-position terms: 12, 18, 26, 36, ?
    2. Even-position terms: 6, 9, 13, 18
    • The difference between consecutive terms:
      18−12=618 - 12 = 61812=6, 26−18=826 - 18 = 82618=8, 36−26=1036 - 26 = 103626=10
      The difference increases by 2 each time.
      The next difference will be 10+2=1210 + 2 = 1210+2=12.
      So, the next term is 36+12=4836 + 12 = 4836+12=48.
    • The difference between consecutive terms:
      9−6=39 - 6 = 396=3, 13−9=413 - 9 = 4139=4, 18−13=518 - 13 = 51813=5
      The difference increases by 1 each time.
      The sequence ends at 18, so no further calculation is needed here.

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