# MAT 2051 Discrete Mathematics Unit 2 Quiz 1

**MAT 2051 Discrete Mathematics ****Unit 2 Quiz 1**

Question 1What is a set?

Answers:

a. An unordered collection of objects.

b. An ordered collection of objects.

c. The study of reasoning.

d. A partition of numbers.

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Question 2What is the cardinality of the set X = {1, 5, 3, 8, 10}?

Answers:

a. 5.

b. 1.

c. 10.

d. 27.

Question 3 What value replaces ?in the following truth table?

Answers:

a. 0.

b. 1.

c. Cannot solve with the given information.

d. Can be either 0 or 1.

Question 4Let:

P: Jerry receives a scholarship.

Q: Jerry goes to college.

Assume the statement P → Q is true.

If Jerry does not go to college, did he receive his scholarship?

Answers:

a. Yes, because the converse of the statement is true.

b. No, because the contrapositive of the statement is true.

c. There is not enough information.

d. Can be either.

Question 5 What is deductive reasoning?

Answers:

a. A hypothesis together with a conclusion.

b. Valid arguments of a hypothesis.

c. The process of drawing a conclusion from a sequence of propositions.

d. A simplification of the rules of inference.