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    If the 5-digit number 750PQ is divisible by 3, 7 and 11, then what is the value of P + 2Q?
    Question

    If the 5-digit number 750PQ is divisible by 3, 7 and 11, then what is the value of P + 2Q?

    A.

    17

    B.

    15

    C.

    18

    D.

    16

    Correct option is A

    LCM of 3, 7 & 11 = 231
    The given 5-digit number is exactly divisible 231, then the possible value of P and Q be 7 and 5 respectively.
    Now,
    (P + 2Q) = 7 + 2 ×5 = 17

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