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6/9 6. Testing Arguments with Truth Tables Online Quiz Questions

Use this free practice quiz with 20 questions to review 6/9 6. Testing Arguments with Truth Tables, test your knowledge, and prepare for your next test or exam.

20 questions
01
Choose one
1 point

Which condition defines a valid deductive argument?

  1. A

    The premises are factually true and the conclusion is factually true.

  2. B

    There is no possible case in which all the premises are true and the conclusion is false.

  3. C

    The conclusion is factually true, regardless of the premises.

  4. D

    Every row of the truth table has at least one false premise.

02
Choose one
1 point

For which valuation is the conditional p → q false?

  1. A

    p = T and q = T

  2. B

    p = F and q = T

  3. C

    p = T and q = F

  4. D

    p = F and q = F

03
Choose one
1 point

A truth table contains three basic propositions: p, q, and r. How many rows are required for a complete table?

  1. A

    8 rows

  2. B

    6 rows

  3. C

    4 rows

  4. D

    9 rows

04
Choose all
1 point

Which two steps are part of the joint-premise method for testing an argument? Select all correct choices.

  1. A

    It combines all premises using conjunction.

  2. B

    It tests each premise independently without forming a larger expression.

  3. C

    It places the conclusion as the consequent of a conditional.

  4. D

    It requires the conclusion to be conjoined with every premise.

05
Choose all
1 point

Which two properties must a countervaluation have? Select all correct choices.

  1. A

    It makes at least one premise false.

  2. B

    It makes every premise true.

  3. C

    It makes the conclusion true.

  4. D

    It makes the conclusion false.

06
True or false
1 point

True or false: An argument is invalid if and only if a truth table contains at least one row in which every premise is true and the conclusion is false.

  1. A

    True

  2. B

    False

07
True or false
1 point

True or false: If a truth table shows that an argument is valid, it also establishes that every premise in the argument is factually true.

  1. A

    True

  2. B

    False

08
Written response
1 point

What is the technical term for a truth-table row in which every premise is true while the conclusion is false?

09
Written response
1 point

How many rows are needed in a complete truth table with three basic propositions?

10
Fill in the blank
1 point

In the joint-premise method, an argument is valid when the final conditional is a on every row of the truth table.

11
Fill in the blank
1 point

To test validity directly, examine rows where every premise is . The argument is invalid if the conclusion is in at least one such row.

12
Open ended
1 point

Use the faster countervaluation procedure to test this argument: p → q; q; therefore p. State whether it is valid or invalid, and justify your answer with a valuation of p and q.

13
Choose one
1 point

Given p = F and q = F, what is the truth value of p → q?

  1. A

    T

  2. B

    F

14
Choose one
1 point

A truth table contains three basic propositions. How many rows are required for a complete table?

  1. A

    6 rows

  2. B

    8 rows

  3. C

    9 rows

  4. D

    12 rows

15
Choose one
1 point

For which assignment of truth values is the conditional p→qp \to q false?

  1. A

    p=F,q=Fp=F, q=F

  2. B

    p=F,q=Tp=F, q=T

  3. C

    p=T,q=Fp=T, q=F

  4. D

    p=T,q=Tp=T, q=T

16
True or false
1 point

True or false: A single truth-table row with a false premise is sufficient to prove that an argument is invalid.

  1. A

    True

  2. B

    False

17
Choose one
1 point

An argument has premises P1P_1, P2P_2, and P3P_3, followed by conclusion CC. Which expression represents the joint-premise method?

  1. A

    [(P1∧P2∧P3)→C][(P_1 \land P_2 \land P_3) \to C]

  2. B

    [(P1→P2→P3)∧C][(P_1 \to P_2 \to P_3) \land C]

  3. C

    [(P1∨P2∨P3)→C][(P_1 \lor P_2 \lor P_3) \to C]

  4. D

    [C→(P1∧P2∧P3)][C \to (P_1 \land P_2 \land P_3)]

18
Written response
1 point

What is the logical term for a truth-table row on which all premises are true and the conclusion is false?

19
Choose one
1 point

A truth table for the argument p→qp \to q, pp, therefore qq, has only true values in the final column of [(p→q)∧p]→q[(p \to q) \land p] \to q. What conclusion follows?

  1. A

    The argument is invalid because p→qp \to q is false on one row.

  2. B

    The argument is unsound because truth tables cannot test arguments.

  3. C

    The argument is invalid because pp is false on two rows.

  4. D

    The argument is valid because [(p→q)∧p]→q[(p \to q) \land p] \to q is true on every row.

20
Written response
1 point

What is the logical term for a compound proposition that is true on every row of its truth table?