Truth Value Quiz

Given that p is TRUE, the truth value of the negation of p(-q) is ___.

• A. true

• B. false

• C. both true

• D. both false

The truth value of all conjunction of p and q(p^q) is FALSE except for the case where p and q are ___.

• A. true

• B. false

• C. both true

• both false

The truth value of all disjunction of p and q (p v q) is true except for the case where p and q are ___.

• A. true

• B. false

• C. both true

• D. both false

The truth value of all conditional of p and q (𝑝→𝑞) is ____________________ except for conditional where p is true and q is false.

• A. true

• B. false

• C. both true

• D. both false

• A. true

• B. false

• C. both true

• D. both false

𝑝 ∧ (~𝑞)

• A. p and q are both true.

• B. p and q are both false.

• C. p and q are true and false, respectively.

• D. p and q are false and true, respectively.

In the minutes of the meeting, it is recorded that “All ten members agreed that there will be a monthly contribution of ₱50.00. Let p be the statement “The collection for February is ₱500.00”.

           

What is the verbal equivalent of ~p?

• A. If all ten members agreed that there will be a monthly contribution of ₱50.00, then the collection for February is ₱500.00.

• B. The collection for February is not ₱500.00.

• C. The collection not for February is ₱500.00.

• D. All ten members agreed that there will be a monthly contribution of ₱50.00 and the collection for February is ₱500.00.

In the minutes of the meeting, it is recorded that “All ten members agreed that there will be a monthly contribution of ₱50.00. Let p be the statement “The collection for February is ₱500.00”.

Scenario A: All members of the group paid the monthly contribution.

           

What is the truth value of the negation ~p given Scenario A?

• A. true

• B. false

• C. neither true nor false

• D. information is insufficient

In the minutes of the meeting, it is recorded that “All ten members agreed that there will be a monthly contribution of ₱50.00. Let p be the statement “The collection for February is ₱500.00”.

Which explains the reason behind the truth value of ~p given Scenario A?

• A. Given that all ten members of the group contributed, then the total collection for February is ₱500.00.

• B. Given that there are ten members of the group, then the total collection for February just like in any month should be ₱500.00.

• C. Despite all members contributed, each may have contributed any amount.

• D. Scenario A makes no mention about the contribution of each of ten members.

In the minutes of the meeting, it is recorded that “All ten members agreed that there will be a monthly contribution of ₱50.00. Let p be the statement “The collection for February is ₱500.00”.

Scenario B: The treasurer lost the payment of the three members.

           

What is the truth value of the negation ~p given Scenario B?

• A. true

• B. false

• C. neither true nor false

• D. information is insufficient