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    If the eight-digit number 43377p08 is divisible by 8, then the maximum value of p is:
    Question

    If the eight-digit number 43377p08 is divisible by 8, then the maximum value of p is:

    A.

    6

    B.

    7

    C.

    8

    D.

    4

    Correct option is C

    Given:

    Eight-digit number: 43377p08

    It must be divisible by 8.

    Concept Used:

    A number is divisible by 8 if its last three digits form a number divisible by 8.

    Solution:

    Check divisibility:

    Number formed by last 3 digits = p08

    Try values of p from 9 to 0:

    908÷8 = 113.5 ( not divisible) 

    808 ÷ 8 = 101 (divisible)

    Thus, p = 8 is the maximum valid value

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