Find each of these values.a) (192 mod 41) mod 9________________b) (323 mod l3)2 mod 11________________c) (73 mod 23)2 mod 31________________d) (212 mod 15)3 mod 22

Solution: Step 1In this problem we need to evaluate the given quantities.Modulus operation calculates the remainder r after division of one number a by another number b.It can be written as a mod b. In mathematical form, we can writea mod m gives the remainder r when a number a divided by another number m.Where, remainder r is always positive and less than quotient q.Step 2a) (192 mod 41) mod 9To calculate We have, 361 mod 41Now, we can write We get 361 mod 41=33Now, to calculate (33 mod 9)We can write Therefore = 6.