1. Calculate each of the following values (10 points each): a. (180 mod 72+ 14 mod...

 

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1. Calculate each of the following values (10 points each): a. (180 mod 72+ 14 mod 72) mod 72 b. (323 mod 13)2 mod 11 2. Determine whether the following statement is True of False. If True, provide a proof. If False, provide a counterexample. If a and b are positive integers (nonzero) and a c b c mod 10 for some integer c that is not a multiple of 10, then a = b mod 10. 1. Calculate each of the following values (10 points each): a. (180 mod 72+ 14 mod 72) mod 72 b. (323 mod 13)2 mod 11 2. Determine whether the following statement is True of False. If True, provide a proof. If False, provide a counterexample. If a and b are positive integers (nonzero) and a c b c mod 10 for some integer c that is not a multiple of 10, then a = b mod 10.