Question: The Greek alphabet is an example of
Answer Choices: An algebraic sequence A symbolic sequence An infinite sequence A finite sequence
Answer: D) A finite sequence
Question: Which of the following arithmetic sequences demonstrates a linear relationship?
Answer Choices: 10, 100, 1000, 10000… 2, 4, 8, 16… 2, 4, 16, 256… 3, 6, 9, 12…
Answer: D) 3, 6, 9, 12…
Question: Which of the following terms does NOT describe the manner in which a function can behave?
Answer Choices: Injection Rejection Surjection Bijection
Answer: B) Rejection
Question: Which theorem could help prove one of these criteria from another?
Answer Choices: If S = {u₁,…,uₚ} and the distance between any pair of distinct vectors is constant… If S = {u₁,…,uₚ} is an orthogonal set of nonzero vectors in ℝⁿ… If S = {u₁,…,uₚ} is a basis in ℝᵖ… If S = {u₁,…,uₚ} and each uᵢ has length 1…
Answer: If S = {u₁,…,uₚ} is an orthogonal set of nonzero vectors in ℝⁿ, then S is linearly independent and hence is a basis for the subspace spanned by S.
Question: After seeing a sweater shrink after being dried, Jason told everyone to never dry any sweaters. What type of logical fallacy is this?
Answer Choices: Inductive False cause Hasty generalization Circular reasoning
Answer: C) Hasty generalization
Question: What is the rule for multiplying matrices?
Answer Choices: The number of rows in the first matrix must match the number of columns in the second matrix The number of rows in the first matrix must match the number of rows in the second matrix The number of columns in the first matrix must match the number of rows in the second matrix The number of columns in the first matrix must match the number of columns in the second matrix
Answer: C) The number of columns in the first matrix must match the number of rows in the second matrix
Question: Which of the following criteria are necessary for a set of vectors to be an orthogonal basis for a subspace W of ℝⁿ?
Answer Choices: The vectors must form an orthogonal set. The vectors must span W. The distance between any pair of distinct vectors must be constant. The vectors must all have a length of 1.
Answer: The vectors must form an orthogonal set. The vectors must span W.
Question: What are the possible truth values of Boolean variables?
Answer Choices: 0, 1 All answers are correct F, T True, False
Answer: B) All answers are correct
Question: In the equation ‘G = m(x + b)’, what represents the mathematical set?
Answer Choices: m (x + b) b G
Answer: D) G
Question: As you try to find possible Hamilton circuits in a graph, which of the following is true?
Answer Choices: The nearest neighbor method is optimal but not efficient The cheapest neighbor approach is optimal and efficient No option is both optimal and efficient The brute force method is most efficient
Answer: C) No option is both optimal and efficient
Question: Why did the person not bring an umbrella even though there was a 30% chance of rain?
Answer Choices: The umbrella is broken The announcer is probably lying There is a 70% of it NOT raining You like getting wet
Answer: C) There is a 70% of it NOT raining
Question: To determine the insurance premium of a car, an insurance company considers the age of the car, the model of the car, and the mileage of the car. Which of the following is the dependent variable?
Answer Choices: Model; Age; Mileage; Insurance premium
Answer: Insurance premium
Question: Which of the following is the most appropriate application of graph theory?
Answer Choices: Designing computer graphics Finding optimal routes between cities Designing logic gates Creating symmetrical shapes
Answer: B) Finding optimal routes between cities
Question: The fact that (10 + 8) is the same as (8 + 10) illustrates the ___ nature of addition.
Answer Choices: Cumulative Irregular Commutative Infinite
Answer: C) Commutative
Question: Josiah states that two graphs are isomorphic since they both have 10 edges and 4 vertices. Do you agree with his argument?
Answer Choices: No, since in order for the graphs to be isomorphic the degrees of the vertices must be retained as well as edge connectivity Yes, since an isomorphism of graphs just means they have the same number of vertices and edges connecting them Yes, since having the same number of edges and vertices guarantees that the degree of the vertices is retained No because graphs cannot be isomorphic, only functions can
Answer: A) No, since in order for the graphs to be isomorphic the degrees of the vertices must be retained as well as edge connectivity
Question: Which of the following is the factorial of 4?
Answer Choices: 16 10 256 24
Answer: D) 24
Question: The table below shows the miles driven as a function of gallons of gas used. When the function is graphed, what does the ordered pair (6, 144) represent?
Answer Choices: The driver can go 144 miles with 6 gallons of gas; The driver can go 24 miles in 1 hour; The driver can go 144 miles in 6 hours; The driver can go 6 miles with 144 gallons of gas
Answer: The driver can go 144 miles with 6 gallons of gas
Question: What does an isomorphism refer to?
Answer Choices: A synonym for an inverse function A function which is both injective and surjective A change or translation to a function which keeps it identical to the original A function where all data values in the first set are linked to one data value in the second set
Answer: B) A function which is both injective and surjective
Question: Although you cannot divide matrices, what operation acts as an alternative?
Answer Choices: Inverting matrices Identity matrices Reverse multiplication of matrices Binomial operations
Answer: A) Inverting matrices
Question: When two statements are connected by the term ‘and’, then those two statements form a ___
Answer Choices: A tautology A disjunction A conjunction A direct proof
Answer: C) A conjunction
Question: Which of the following best describes discrete data?
Answer Choices: Discrete data can have random variables Discrete data can be divided into fractional values Discrete data is abstract Discrete data is distinct and cannot be divided
Answer: D) Discrete data is distinct and cannot be divided
Question: Determine if the following vectors are orthogonal.
Answer Choices: The vectors u and v are orthogonal because u · v = 0 The vectors u and v are not orthogonal because u · v ≠ 0
Answer: The vectors u and v are orthogonal because u · v = 0
Question: The counterexample is a particularly useful tool which allows for
Answer Choices: Creation of contrapositive statements Creation of inverse statements Logical validity verification Truth table creation
Answer: C) Logical validity verification
Question: Which of the following statements is true regarding tautologies?
Answer Choices: They are always false, with one notable exception They are always false They are always true, with one notable exception They are always true
Answer: D) They are always true
Question: What is indicated at point Y in the image?
Answer Choices: Loop Matrix Vertex Edge
Answer: A) Loop
Question: In a binomial experiment, which of the following is true?
Answer Choices: Experiments can have more than two outcomes Events are influenced by previous events A current event does not influence the next event The number of trials is variable
Answer: C) A current event does not influence the next event
Question: A permutation refers to
Answer Choices: A modification of a mathematical equation An arrangement of a set of items The sum of two negative integers The likeliest possible outcome
Answer: B) An arrangement of a set of items
Question: What is true about the following graph?
Answer Choices: It has zero Hamilton circuits It has zero odd vertices It is a complete graph It has one odd vertex
Answer: C) It is a complete graph