Explore topic-wise MCQs in Discrete Mathematics.

This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Discrete Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

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
Answer» E.
2.

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
Answer» B. 1GB
3.

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

A. 10
B. 12
C. 6
D. 4
Answer» D. 4
4.

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

A. O(m+a)
B. O(a*g)
C. O(gm)
D. O(g)
Answer» E.
5.

Evaluate the expression 6359 mod 320.

A. 681
B. 811
C. 3781
D. 279
Answer» E.
6.

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
Answer» B. f(x) = f(xp1) for all x in F
7.

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
Answer» B. RSA key exchange
8.

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
Answer» C. ASM algorithm
9.

A multiplicative monoid defines the property of exponentiation with ________

A. integer exponents
B. fractional exponents
C. rational exponents
D. negative integer exponents
Answer» B. fractional exponents
10.

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
Answer» B. GCD(53,21) = 29