Free Practice Quiz Question List

1/9 1. Propositions and Truth Values Online Quiz Questions

Use this free practice quiz with 20 questions to review 1/9 1. Propositions and Truth Values, test your knowledge, and prepare for your next test or exam.

20 questions

Choose one

1 point

Which sentence is a proposition?

A
“Close the door.”
B
“The library is open.”
C
“Is the library open?”
D
“What a beautiful day!”

Choose one

1 point

Which question concerns validity rather than truth?

A
Whether a statement is grammatically complete
B
Whether a proposition is believed by a person
C
Whether a conclusion follows from premises
D
Whether a proposition contains a logical connective

Choose one

1 point

How should the statement “The package arrived, but the recipient was not home” be classified in introductory propositional logic?

A
A compound proposition using conjunction
B
A simple proposition with no connective
C
A question with an unknown truth value
D
An open sentence whose truth depends on a variable

Choose all

1 point

Select all of the following that are propositions.

A
“Water freezes at 0°C under standard atmospheric pressure.”
B
“Is water frozen?”
C
“There is life elsewhere in the universe.”
D
“Let x be a positive integer.”

Choose all

1 point

Select all sentences that are propositions as written.

A
“It is cold,” with no place or time specified
B
“There is life elsewhere in the universe.”
C
“x + 2 = 5,” with x unassigned
D
“The number 12 is prime.”

True or false

1 point

True or false: The sentence $x+2=5$ is a proposition by itself when no value is assigned to $x$ .

A
True
B
False

True or false

1 point

True or false: In logic, a proposition's truth value is determined by whether a person believes it.

A
True
B
False

Written response

1 point

What is the alternative logical term for a simple proposition?

Written response

1 point

A truth table contains four independent propositions. How many possible truth-value combinations must it represent?

Fill in the blank

1 point

A is a declarative claim with one definite truth value. A compound proposition is formed by joining propositions with a logical .

Fill in the blank

1 point

A proposition contains no smaller proposition joined by a logical connective, whereas a proposition is formed by combining propositions with a connective.

Open ended

1 point

Consider this argument: “The Earth is larger than the Moon. Dogs are mammals. Therefore, triangles have three sides.” Explain why the truth of all three statements does not make the argument valid.

Choose one

1 point

Why can the sentence “It is cold” fail to express one definite proposition as written?

A
It is always a compound proposition.
B
It may fail to express one definite proposition until its context is fixed.
C
It is a proposition only if the speaker believes it.
D
It is an instruction rather than a claim.

Choose one

1 point

Which logical connective is signaled by the phrase “if and only if”?

A
Negation
B
Biconditional
C
Conjunction
D
Disjunction

True or false

1 point

True or false: A sentence must be known to be true before it can count as a proposition.

A
True
B
False

Choose one

1 point

How should the sentence “The package arrived, but the recipient was not home” be classified?

A
It is a simple proposition because it describes one event.
B
It is a compound proposition because it joins two claims.
C
It is not a proposition because “but” expresses contrast.
D
It is an open sentence because the recipient is unspecified.

Written response

1 point

A truth table contains four independent propositions. How many possible combinations of their truth values are there?

Choose one

1 point

Which statement is an atomic, or simple, proposition?

A
The train arrives at noon and the meeting is online.
B
If the train arrives at noon, then the meeting is online.
C
The train arrives at noon.
D
The train arrives at noon or the meeting is online.

Written response

1 point

What is the logical term for the sentence $x+2=5$ when no value has been assigned to $x$ ?

Choose one

1 point

What is needed before the context-dependent sentence “It is cold” can express one definite proposition?

A
Replace it with a command.
B
Determine whether the speaker believes it.
C
Fix the relevant place and time.
D
Convert it into a question.