(a) A student is curious about the test for d ivisibility by 9 and asks you to prove it for any three digit number. How do you do it? (b) Are there single-digit values for a and b that make the number 4324a5b4 divisible by both 4 and 9? If so, what a re they? If not, why not?

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A: We will check this for m=1 first  0 is divisible  by 3.

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A: As per the guidelines I am answering only one question with all its parts.Remember :

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A: Answer is mentioned below

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A: since you have posted multiple questions , so I'll solve first three for you , for rest question's…

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A:

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