06 Feb hypothesis together with a conclusion.
MAT2051 Discrete Mathematics
Unit 2 Quiz
Question 1 What 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.
Question 2 What 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 4 Let:
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.
Question 6 Assume that ~, v, and ^ are the NOT, OR, and AND symbols, respectively. Use a truth table to determine if the following Boolean equation ~x1 v (x2 ^ x1):
Answers:
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