Q. Calculate the GCD of 8376238 and 1921023 using Euclidean algorithm.

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Q. What is 11 mod 7 and -11 mod 7?

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Q. Which of the following is a valid property for concurrency?

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Q. [(a mod n) + (b mod n)] mod n = (a+b) mod n

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Q. [(a mod n) – (b mod n)] mod n = (b – a) mod n

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Q. 11^7 mod 13 =

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Q. The multiplicative Inverse of 1234 mod 4321 is

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Q. The multiplicative Inverse of 550 mod 1769 is

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Q. The multiplicative Inverse of 24140 mod 40902 is

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Q. GCD(a,b) = GCD(b,a mod b)

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Q. In modular arithmetic : (a/b) = b(a^-1)

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Q. For the group Sn of all permutations of n distinct symbols, what is the number of elements in Sn?

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Q. For the group Sn of all permutations of n distinct symbols, Sn is an abelian group for all values of n.

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Q. Is S a ring from the following multiplication and addition tables?

+ a b x a b
a a b a a a
b b a b a b

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Q. Does the set of residue classes (mod 3) form a group with respect to modular addition?

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Q. A very common field in this category is GF(2) with the set {1, 2} and two operations, addition and multiplication.”

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Q. Multiplication / Division follow which operation?

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Q. 0 1 2 3 4
0 4 3 2 1

0 1 2 3 4
– 1 3 2 4

What do the above numbers correspond to?

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Q. How many numbers cannot be used in GF(p) in 2n where n=4?

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Q. If f(x)=x^3+x^2+2 and g(x)=x^2-x+1, find: f(x) + g(x)

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