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    Find the largest 4-digit number which is completely divisible by 66.
    Question

    Find the largest 4-digit number which is completely divisible by 66.

    A.

    6754

    B.

    9436

    C.

    9867

    D.

    9966

    Correct option is D

    Given:

    We need the largest 4-digit number divisible by 66.

    Solution:

    Required number = 999966×66\left\lfloor \frac{9999}{66} \right\rfloor \times 66​​

    =151.5= \left\lfloor 151.5 \right\rfloor 

    Now,  taking the integer value

    151×66=9966 151 \times 66 = 9966 

    Thus, the largest 4-digit number divisible by 66 is 9966

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