Multiple Choice Questions on How many five digit numbers of the form XXYXX is are divisible by 33 ........ for CDS Exam Preparation

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    How many five-digit numbers of the form XXYXX is/are divisible by 33?

    1

    Incorrect Answer

    3

    Correct Answer

    5

    Incorrect Answer

    Infinite

    Incorrect Answer
    Explanation:

    33 = 11 x 3
    Number x * y * x
    Divisible by 11 = (x + y + x) - (x + x) = y
    Hence, y being a single digit number must
    be divisible by 11 or else be zero

    .For divisibility by 3, number must be
    divisible by 3
    x + x + 0 + x + x
    = 4x
    For 3,6 &9, we will get ‘4x’ as multiple of 3
    Hence, number can be one of below three:
    33033, 66066 & 99099
    Hence, answer is 3.


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