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Welcome to the Number Theory and Cryptography MCQs Page

Dive deep into the fascinating world of Number Theory and Cryptography with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Number Theory and Cryptography, a crucial aspect of Discrete Mathematics. In this section, you will encounter a diverse range of MCQs that cover various aspects of Number Theory and Cryptography, 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 Discrete Mathematics.

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

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

Number Theory and Cryptography MCQs | Page 8 of 13

Explore more Topics under Discrete Mathematics

Q71.
The linear combination of gcd(252, 198) = 18 is?

a.

252*4 – 198*5

b.

252*5 – 198*4

c.

252*5 – 198*2

d.

252*4 – 198*4

Discuss
Answer: (a).252*4 – 198*5
Q72.
The inverse of 3 modulo 7 is?

a.

-1

b.

-2

c.

-3

d.

-4

Discuss
Answer: (b).-2
Q73.
The integer 561 is a Carmichael number.

a.

True

b.

False

c.

May be True or False

d.

Can't say

Discuss
Answer: (a).True
Q74.
The linear combination of gcd(117, 213) = 3 can be written as _________

a.

11*213 + (-20)*117

b.

10*213 + (-20)*117

c.

11*117 + (-20)*213

d.

20*213 + (-25)*117

Discuss
Answer: (a).11*213 + (-20)*117
Q75.
The inverse of 7 modulo 26 is?

a.

12

b.

14

c.

15

d.

20

Discuss
Answer: (c).15
Q76.
The inverse of 19 modulo 141 is?

a.

50

b.

51

c.

54

d.

52

Discuss
Answer: (d).52
Q77.
The integer 2821 is a Carmichael number.

a.

True

b.

False

c.

May be True or False

d.

Can't say

Discuss
Answer: (a).True
Q78.
The solution of the linear congruence 4x = 5(mod 9) is?

a.

6(mod 9)

b.

8(mod 9)

c.

9(mod 9)

d.

10(mod 9)

Discuss
Answer: (b).8(mod 9)
Q79.
The linear combination of gcd(10, 11) = 1 can be written as _________

a.

(-1)*10 + 1*11

b.

(-2)*10 + 2*11

c.

1*10 + (-1)*11

d.

(-1)*10 + 2*11

Discuss
Answer: (a).(-1)*10 + 1*11
Q80.
The value of 5²⁰⁰³ mod 7 is?

a.

3

b.

4

c.

8

d.

9

Discuss
Answer: (a).3
Page 8 of 13

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