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    Which of the numbers below is exactly divisible by 33?
    Question

    Which of the numbers below is exactly divisible by 33?

    A.

    25080

    B.

    27441

    C.

    19679

    D.

    73205

    Correct option is A

    ​Given:

    Check divisibility by 33
    33 = 3 × 11

    Concept used:

    Rule for divisibility by 3:

    Sum of digits is divisible by 3.

    Rule for divisibility by 11:

    Difference between the sum of alternating digits is divisible by 11

    Solution:

    Check each option:

    25080:

    Sum of digits=2+5+0+8+0=15 (divisible by 3)\text{Sum of digits} = 2 + 5 + 0 + 8 + 0 = 15 \, (\text{divisible by } 3)​.

    Alternating sum:

    (2+0+0)(5+8)=213=11 (divisible by 11)(2 + 0 + 0) - (5 + 8) = 2 - 13 = -11 \, (\text{divisible by } 11)​.

    Thus, 25080 divisible by 33

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