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    Question

    If the 6-digit number 324a16 is completely divisible by

    8, then the largest integer that can replace a is:
    A 7 Correct Answer Incorrect Answer
    B 6 Correct Answer Incorrect Answer
    C 8 Correct Answer Incorrect Answer
    D 9 Correct Answer Incorrect Answer

    Solution

    For a number to be divisible by 8, the last three digits must be divisible by 8. Here, the last three digits are *16. Let's evaluate the values for *: • If a= 6: 616÷ 8 = 77 (divisible) • If a= 7: 716÷ 8 = 89.5 (not divisible) • If a = 8: 816 ÷  8 = 102 (divisible) • If a = 9: 916÷ 8= 114.5 (not divisible) The largest value of a that makes the number divisible by 8 is 8.

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