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    ​5, 25, 7, 49, 9, 81, 11, ?​
    Question

    5, 25, 7, 49, 9, 81, 11, ?

    A.

    64

    B.

    81

    C.

    121

    D.

    169

    Correct option is C

    Given series:

    5,25,7,49,9,81,11, ?5, 25, 7, 49, 9, 81, 11, \ ?

    Observing the positions:

    1. Odd-positioned terms:

    5,7,9,11,5, 7, 9, 11, \dots

    2. Even-positioned terms:

    25, 49, 81, ?

    These are squares of the preceding odd-positioned terms:

    52=255^2 = 25

    72=497^2 = 49

    92=819^2 = 81

    112=12111^2 = 121​ (expected next term)

    Step 2: Finding the Missing Term

    Since the missing term is in the 8th position (even position), it should be the square of the preceding odd number (11):

    112=12111^2 = 121

    Final Answer:

    121\boxed{121}

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