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Missing digits for divisibility by 8 or 40 (last three digits)

This type of question, asked 5 times: 10 Sep 2024 S3, 12 Sep 2024 S1, 12 Sep 2024 S3, 13 Sep 2024 S2, 26 Sep 2024 S2. All 5 questions below, oldest first.

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  1. Question 1

    10 Sep 2024 S3

    66
    Which digits should come in the place of * and #, respectively, if the 7-digit number 62684*# is divisible by both 8 and 5?

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  2. Question 2

    12 Sep 2024 S1

    51
    Which digits should come in place ∗* and $\text{\textdollar},respectively, if the number 72864∗$72864{*}\text{\textdollar} is divisible by both 8 and 5?

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  3. Question 3

    12 Sep 2024 S3

    60
    Find the smallest value that must be assigned to number 'a' in order for 91876a2 to be divisible by 8.

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  4. Question 4

    13 Sep 2024 S2

    58
    Which digits should come in the place of x and y, respectively, if the number 62684xy is divisible by both 8 and 5?

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  5. Question 5

    26 Sep 2024 S2

    55
    The five-digit number 45yz0 is divisible by 40. What is the maximum possible value of (y + z)?

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