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.

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

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Logics and Proofs

02

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Discrete Probability

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Graphs and Graphs Properties

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Tree Properties

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Boolean Algebra and Modeling Computations

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Group Theory

Q91.

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

GCD(53,21) = 1

GCD(53,21) = 29

GCD(53,21) = 53

GCD(53,21) = 12

Discuss

Answer: (a).GCD(53,21) = 1

Q92.

A multiplicative monoid defines the property of exponentiation with ________

integer exponents

fractional exponents

rational exponents

negative integer exponents

Discuss

Answer: (a).integer exponents

Q93.

Which of the following algorithms has better computational complexity than standard division algorithms?

Montgomery algorithm

Classical modular exponentiation algorithm

ASM algorithm

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?

Diffie-HEllman key exchange

RSA key exchange

Arithmetic key exchange

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 ______________

p₁x = 0 for all x in F

f(x) = f(xp₁) for all x in F

p₁ = y for all y in F

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.

681

811

3781

279

Discuss

Answer: (d).279

Q97.

The time complexity to perform the modular exponentiation of a ≡ cᵍ (mod m).

O(m+a)

O(a*g)

O(gm)

O(g)

Discuss

Answer: (d).O(g)

Q98.

According to congruence relation, find the remainder of 56 mod 24.

Discuss

Answer: (c).6

Q99.

In cryptography system, the value of z in x ≡ zᵉ (mod m) should be at least ______

1024 bits

1GB

596 bits

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)).

735

321

872

487

Discuss

Answer: (d).487

Page 10 of 13

Welcome to the Number Theory and Cryptography MCQs Page

Number Theory and Cryptography MCQs | Page 10 of 13

Explore more Topics under Discrete Mathematics

Logics and Proofs

Sets and Functions

Sequences,Sums and Matrices

Algorithms

Induction and Recursion

Counting Theory

Discrete Probability

Relations

Graphs and Graphs Properties

Tree Properties

Boolean Algebra and Modeling Computations

Group Theory

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