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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 10 of 13

Explore more Topics under Discrete Mathematics

Q91.
If the multiplicative inverse of “53 modulo 21” exists, then which of the following is true?

a.

GCD(53,21) = 1

b.

GCD(53,21) = 29

c.

GCD(53,21) = 53

d.

GCD(53,21) = 12

Discuss
Answer: (a).GCD(53,21) = 1
Q92.
A multiplicative monoid defines the property of exponentiation with ________

a.

integer exponents

b.

fractional exponents

c.

rational exponents

d.

negative integer exponents

Discuss
Answer: (a).integer exponents
Q93.
Which of the following algorithms has better computational complexity than standard division algorithms?

a.

Montgomery algorithm

b.

Classical modular exponentiation algorithm

c.

ASM algorithm

d.

FSM algorithm

Discuss
Answer: (b).Classical modular exponentiation algorithm
Q94.
Which of the following methods uses the concept that exponentiation is computationally inexpensive in the finite field?

a.

Diffie-HEllman key exchange

b.

RSA key exchange

c.

Arithmetic key exchange

d.

FSM method

Discuss
Answer: (a).Diffie-HEllman key exchange
Q95.
If there is a unique prime number p₁ then a finite field F has the property of ______________

a.

p₁x = 0 for all x in F

b.

f(x) = f(xp₁) for all x in F

c.

p₁ = y for all y in F

d.

xy + p₁ for all x, y in F

Discuss
Answer: (a).p₁x = 0 for all x in F
Q96.
Evaluate the expression 6359 mod 320.

a.

681

b.

811

c.

3781

d.

279

Discuss
Answer: (d).279
Q97.
The time complexity to perform the modular exponentiation of a ≡ cᵍ (mod m).

a.

O(m+a)

b.

O(a*g)

c.

O(gm)

d.

O(g)

Discuss
Answer: (d).O(g)
Q98.
According to congruence relation, find the remainder of 56 mod 24.

a.

10

b.

12

c.

6

d.

4

Discuss
Answer: (c).6
Q99.
In cryptography system, the value of z in x ≡ zᵉ (mod m) should be at least ______

a.

1024 bits

b.

1GB

c.

596 bits

d.

54 Bytes

Discuss
Answer: (a).1024 bits
Q100.
Determine the value of x, where y = 7, e = 12 and n = 566 using modular exponentiation method (x ≡ yᵉ (mod n)).

a.

735

b.

321

c.

872

d.

487

Discuss
Answer: (d).487
Page 10 of 13

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