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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 7 of 10

Q61.
Which among the following values: 17, 20, 38, and 50, does not have primitive roots in the group G = <Zn*, ×>?
Discuss
Answer: (b).20
Q62.
Find the number of primitive roots of G=<Z11*, x>?

a.

5

b.

6

c.

4

d.

10

Discuss
Answer: (c).4
Q63.
Find the primitive roots of G=<Z11*, x>?.
Discuss
Answer: (d).{2, 6, 7, 8}
Q64.
“If a group has primitive roots, it is a cyclic group”
Discuss
Answer: (a).True
Q65.
Find the primitive roots of G = <Z10*, ×>.
Discuss
Answer: (c).{3, 7, 8}
Q66.
“The group G = <Zp*, ×> is always cyclic.”
Discuss
Answer: (a).True
Q67.
gcd( 18,300) =

a.

4

b.

12

c.

8

d.

6

Discuss
Answer: (d).6
Q68.
ᶲ(37)=
Discuss
Answer: (d).36
Q69.
ᶲ(35)=
Discuss
Answer: (a).24
Q70.
What is the period of 7^m mod 19?

a.

2

b.

3

c.

4

d.

5

Discuss
Answer: (b).3
Page 7 of 10

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