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    4 is related to 125 following a certain logic. Following the same logic, 8 is related to 729. Which of the following numbers is related to 1728 using
    Question

    4 is related to 125 following a certain logic. Following the same logic, 8 is related to 729. Which of the following numbers is related to 1728 using the same logic?
    (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

    A.

    11

    B.

    12

    C.

    10

    D.

    9

    Correct option is A

    Given: 
    4 is related to 125
    8 is related to 729
    → 1728
    Logic: Second number = (First number + 1)3
    4 → 125
    4+1)3= 53=125
    8 → 729
    (8+1)3= 93= 729
    ? → 1728
    (?+1)3= 1728
    Since 1728=123
    ? + 1 = 12
    ? = 12 -1
    ? = 11

    Thus, correct option is (a).

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