WGU C960 Discrete Mathematics 2 | Objective
Assessment Revision 2026 | All Questions And
Answers | Exam Prep
What is the greatest common divisor (GCD) of 252 and 198 calculated using the
Euclidean Algorithm? ANSWER: 18
Using the division algorithm, what are the quotient q and remainder r when a = -47
is divided by b = 7 such that 0 <= r < b? ANSWER: q = -7, r = 2
What is the value of 147 mod 11? ANSWER: 4
Which of the following integers is relatively prime to 35? ANSWER: 12
What is the multiplicative inverse of 3 modulo 7? ANSWER: 5
According to the Fundamental Theorem of Arithmetic, what is the prime
factorization of 360? ANSWER: 2^3 * 3^2 * 5
What is the Least Common Multiple (LCM) of 24 and 36? ANSWER: 72
A software security module uses modular exponentiation to encrypt token values.
What is the value of 5^3 mod 13? ANSWER: 8
If a integer a is congruent to b modulo m, which mathematical statement is logically
equivalent? ANSWER: m divides (a - b)
What is the solution x to the linear congruence 4x ≡ 2 (mod 6) in the range 0 <= x <
6? ANSWER: x = 2 and x = 5
Under the Chinese Remainder Theorem, what is the smallest non-negative integer x
that satisfies x ≡ 2 (mod 3) and x ≡ 3 (mod 5)? ANSWER: 8
In a database indexing system, a hash function is defined as h(k) = k mod 11. Which
key results in a collision with key k = 25? ANSWER: 58
What is the value of Euler's totient function φ(12)? ANSWER: 4
Fermat's Little Theorem states that if p is prime and a is an integer not divisible by p,
then a^(p-1) is congruent to what value modulo p? ANSWER: 1
,Using Fermat's Little Theorem, what is the remainder when 3^31 is divided by 7?
ANSWER: 3
A network protocol generates 4-digit PIN codes where each digit can be any integer
from 0 to 9. How many unique PIN codes can be created if digit repetition is allowed?
ANSWER: 10,000
How many distinct 5-letter passwords can be formed from the English alphabet (26
letters) if no letter can be repeated in a password? ANSWER: 7,893,600
A project team consists of 10 software engineers. In how many ways can a committee
of 3 engineers be selected to conduct code reviews? ANSWER: 120
In how many different ways can 6 executives be seated around a round conference
table where relative positioning determines unique arrangements? ANSWER: 120
How many distinct anagrams/permutations can be formed using all the letters in the
word "SUCCESS"? ANSWER: 420
A computer science department offers 4 discrete math sections, 3 data structure
sections, and 2 algorithm sections. In how many ways can a student choose one
course section from any subject? ANSWER: 9
How many subsets of size 4 can be formed from a set containing 8 distinct elements?
ANSWER: 70
According to the Pigeonhole Principle, what is the minimum number of students
required in a class to guarantee that at least two students share the same birth
month? ANSWER: 13
A server log records 50 access attempts across 7 user accounts. What is the minimum
number of access attempts that must belong to at least one user account? ANSWER: 8
What is the coefficient of x^3 * y^2 in the binomial expansion of (x + y)^5? ANSWER:
10
Using the Binomial Theorem, what is the sum of the combinations C(n, k) for k = 0 to
n for a set of size n = 6? ANSWER: 64
In how many ways can 12 identical survey forms be distributed among 4 research
analysts such that every analyst receives at least 1 form? ANSWER: 165
Using the stars and bars method, how many non-negative integer solutions exist for
the equation x1 + x2 + x3 + x4 = 10? ANSWER: 286
How many binary strings of length 8 contain exactly three 1s? ANSWER: 56
Assessment Revision 2026 | All Questions And
Answers | Exam Prep
What is the greatest common divisor (GCD) of 252 and 198 calculated using the
Euclidean Algorithm? ANSWER: 18
Using the division algorithm, what are the quotient q and remainder r when a = -47
is divided by b = 7 such that 0 <= r < b? ANSWER: q = -7, r = 2
What is the value of 147 mod 11? ANSWER: 4
Which of the following integers is relatively prime to 35? ANSWER: 12
What is the multiplicative inverse of 3 modulo 7? ANSWER: 5
According to the Fundamental Theorem of Arithmetic, what is the prime
factorization of 360? ANSWER: 2^3 * 3^2 * 5
What is the Least Common Multiple (LCM) of 24 and 36? ANSWER: 72
A software security module uses modular exponentiation to encrypt token values.
What is the value of 5^3 mod 13? ANSWER: 8
If a integer a is congruent to b modulo m, which mathematical statement is logically
equivalent? ANSWER: m divides (a - b)
What is the solution x to the linear congruence 4x ≡ 2 (mod 6) in the range 0 <= x <
6? ANSWER: x = 2 and x = 5
Under the Chinese Remainder Theorem, what is the smallest non-negative integer x
that satisfies x ≡ 2 (mod 3) and x ≡ 3 (mod 5)? ANSWER: 8
In a database indexing system, a hash function is defined as h(k) = k mod 11. Which
key results in a collision with key k = 25? ANSWER: 58
What is the value of Euler's totient function φ(12)? ANSWER: 4
Fermat's Little Theorem states that if p is prime and a is an integer not divisible by p,
then a^(p-1) is congruent to what value modulo p? ANSWER: 1
,Using Fermat's Little Theorem, what is the remainder when 3^31 is divided by 7?
ANSWER: 3
A network protocol generates 4-digit PIN codes where each digit can be any integer
from 0 to 9. How many unique PIN codes can be created if digit repetition is allowed?
ANSWER: 10,000
How many distinct 5-letter passwords can be formed from the English alphabet (26
letters) if no letter can be repeated in a password? ANSWER: 7,893,600
A project team consists of 10 software engineers. In how many ways can a committee
of 3 engineers be selected to conduct code reviews? ANSWER: 120
In how many different ways can 6 executives be seated around a round conference
table where relative positioning determines unique arrangements? ANSWER: 120
How many distinct anagrams/permutations can be formed using all the letters in the
word "SUCCESS"? ANSWER: 420
A computer science department offers 4 discrete math sections, 3 data structure
sections, and 2 algorithm sections. In how many ways can a student choose one
course section from any subject? ANSWER: 9
How many subsets of size 4 can be formed from a set containing 8 distinct elements?
ANSWER: 70
According to the Pigeonhole Principle, what is the minimum number of students
required in a class to guarantee that at least two students share the same birth
month? ANSWER: 13
A server log records 50 access attempts across 7 user accounts. What is the minimum
number of access attempts that must belong to at least one user account? ANSWER: 8
What is the coefficient of x^3 * y^2 in the binomial expansion of (x + y)^5? ANSWER:
10
Using the Binomial Theorem, what is the sum of the combinations C(n, k) for k = 0 to
n for a set of size n = 6? ANSWER: 64
In how many ways can 12 identical survey forms be distributed among 4 research
analysts such that every analyst receives at least 1 form? ANSWER: 165
Using the stars and bars method, how many non-negative integer solutions exist for
the equation x1 + x2 + x3 + x4 = 10? ANSWER: 286
How many binary strings of length 8 contain exactly three 1s? ANSWER: 56
