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Welcome to the Number Theory and Finite Fields MCQs Page

Dive deep into the fascinating world of Number Theory and Finite Fields with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Number Theory and Finite Fields, a crucial aspect of Cryptography and Network Security. In this section, you will encounter a diverse range of MCQs that cover various aspects of Number Theory and Finite Fields, from the basic principles to advanced topics. Each question is thoughtfully crafted to challenge your knowledge and deepen your understanding of this critical subcategory within Cryptography and Network Security.

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Check out the MCQs below to embark on an enriching journey through Number Theory and Finite Fields. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of Cryptography and Network Security.

Note: Each MCQ comes with multiple answer choices. Select the most appropriate option and test your understanding of Number Theory and Finite Fields. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

Number Theory and Finite Fields MCQs | Page 2 of 10

Q11.
The multiplicative Inverse of 1234 mod 4321 is
Discuss
Answer: (a).3239
Q12.
The multiplicative Inverse of 550 mod 1769 is
Discuss
Answer: (a).434
Q13.
The multiplicative Inverse of 24140 mod 40902 is
Discuss
Answer: (d).Does not exist
Q14.
GCD(a,b) = GCD(b,a mod b)
Discuss
Answer: (a).True
Q15.
In modular arithmetic : (a/b) = b(a^-1)
Discuss
Answer: (b).False
Q16.
For the group Sn of all permutations of n distinct symbols, what is the number of elements in Sn?
Discuss
Answer: (d).n!
Q17.
For the group Sn of all permutations of n distinct symbols, Sn is an abelian group for all values of n.
Discuss
Answer: (b).False
Q18.
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
Discuss
Answer: (a).Yes
Q19.
Does the set of residue classes (mod 3) form a group with respect to modular addition?
Discuss
Answer: (a).Yes
Q20.
A very common field in this category is GF(2) with the set {1, 2} and two operations, addition and multiplication.”
Discuss
Answer: (b).False
Page 2 of 10

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