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    28P3 is divisible by 9. What is the value of P?
    Question

    28P3 is divisible by 9. What is the value of P?

    A.

    4

    B.

    5

    C.

    6

    D.

    7

    Correct option is B

    Given:
    The number 28P3 is divisible by 9.
    Formula Used:
    Divisibility rule of 9: A number is divisible by 9 if the sum of its digits is divisible by 9.
    Solution:
    Calculate the sum of the digits of 28P3:
    2 + 8 + P + 3 = 13 + P
    For the entire number to be divisible by 9, the sum 13 + P must be a multiple of 9.
    The smallest multiple of 9 that is greater than or equal to 13 is 18.
    Equate the sum to 18 to solve for P:
    13 + P = 18
    P = 18 - 13
    P = 5
    Final Answer
    So the correct answer is (b)

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