Free Practice Quiz Question List

5/9 5. Truth Tables Online Quiz Questions

Use this free practice quiz with 20 questions to review 5/9 5. Truth Tables, test your knowledge, and prepare for your next test or exam.

20 questions

Choose one

1 point

How many rows are required in a complete truth table containing the three distinct basic propositions $p$ , $q$ , and $r$ ?

A
4
B
8
C
12
D
16

True or false

1 point

True or false: The conditional $p \to q$ is true when both $p$ and $q$ are false.

A
True
B
False

Written response

1 point

In the conditional $p \to q$ , what is the logical term for $p$ ?

Fill in the blank

1 point

Using the usual precedence order, evaluate negation before conjunction, conjunction before , and then the remaining lower-precedence connectives.

Choose one

1 point

What is the truth value of $\neg p \lor q$ when $p$ is true and $q$ is false?

A
T
B
F
C
The expression is undefined
D
The expression is both T and F

Choose all

1 point

Select all assignments under which the biconditional $p \leftrightarrow q$ is true.

A
$p=T, q=T$
B
$p=F, q=F$
C
$p=T, q=F$
D
$p=F, q=T$

True or false

1 point

True or false: In standard propositional logic, $p \lor q$ is true when both $p$ and $q$ are true.

A
True
B
False

Written response

1 point

What classification applies to the proposition $p \lor \neg p$ , which is true for every assignment of $p$ ?

Fill in the blank

1 point

Two propositions that have the same truth value on every row of their truth tables are said to be .

Choose one

1 point

Which expression is logically equivalent to $\neg(p \land q)$ ?

A
$\neg p \lor \neg q$
B
$\neg p \land \neg q$
C
$p \lor q$
D
$p \land q$

Choose all

1 point

Select all statements that correctly describe the truth conditions of $(p \lor q) \land \neg q$ .

A
It is true whenever $q$ is true.
B
It is true when $p$ is true and $q$ is false.
C
It is false when $q$ is true.
D
It is true when both $p$ and $q$ are false.

Choose one

1 point

What is the truth value of $p \leftrightarrow q$ when $p=F$ and $q=F$ ?

A
T
B
F
C
It depends on the order of the rows
D
It cannot be evaluated without a third proposition

Open ended

1 point

Construct the truth values for $(p \lor q) \land \neg q$ in the row order $TT, TF, FT, FF$ . State the resulting sequence and explain why the expression is true in only one row.

True or false

1 point

True or false: The proposition $p \land \neg p$ is a contradiction.

A
True
B
False

Choose one

1 point

How many rows are required in a truth table containing the three distinct basic propositions $p$ , $q$ , and $r$ ?

A
2
B
4
C
8
D
16

Choose one

1 point

What is the truth value of $p \to q$ when $p$ is false and $q$ is false?

A
False
B
True
C
Undetermined
D
True only when $q$ is true

Choose one

1 point

How should the proposition $p \lor \neg p$ be classified?

A
Contradiction
B
Contingency
C
Tautology
D
Biconditional

Choose one

1 point

If $p$ is false and $q$ is false, what is the truth value of $p \leftrightarrow q$ ?

A
False, because both propositions are false
B
False, because a biconditional requires both propositions to be true
C
True, because the truth values match
D
Undetermined without a complete table

Written response

1 point

A proposition has the following final truth-table column, listed from top to bottom: T, F, F, T. What is its logical classification?

Written response

1 point

Determine whether this argument is valid or invalid: Premise: $p \land q$ . Conclusion: $q$ .