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Recent questions tagged goclasses2024_wq4

5 votes

2 answers

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GO Classes Weekly Quiz 4 | Propositional Logic | Question: 4
If $\mathbf{p}$ is true, $\mathbf{q}$ is true, and $\mathbf{r}$ is true, find the truth value of the statement. $ (p \wedge q) \leftrightarrow(q \vee \sim r) $ Choose the correct answer below. True because $(p \wedge q)$ ... and $(q \vee \sim r)$ is false. False because $(p \wedge q)$ is true and $(q \vee \sim r)$ is true.

GO Classes asked in Mathematical Logic Mar 22

398 views

2 votes

2 answers

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GO Classes Weekly Quiz 4 | Propositional Logic | Question: 5
If $p$ is true and $q$ is false then the truth values of $(p \rightarrow q) \leftrightarrow(\sim q \rightarrow \sim p)$ and $(\sim p \vee \sim q) \wedge(\sim q \vee p)$ are respectively True, True True, False False, False False, True

GO Classes asked in Mathematical Logic Mar 22

267 views

2 votes

2 answers

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GO Classes Weekly Quiz 4 | Propositional Logic | Question: 6
If $(p \wedge \sim q) \wedge(p \wedge r) \rightarrow \sim p \vee q$ is false, then the truth values of $p, q$ and $r$ are, respectively : $F, T, F$ $T, F, T$ $T, T, T$ $F, F, F$

GO Classes asked in Mathematical Logic Mar 22

229 views

4 votes

3 answers

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GO Classes Weekly Quiz 4 | Propositional Logic | Question: 7
If $p, q, r$ are simple statement with truth values $T, F, T$ respectively then the truth value of $((\sim p \vee q) \wedge r) \rightarrow p$ is : True False True if $r$ is false True if $q$ is true

GO Classes asked in Mathematical Logic Mar 22

345 views

9 votes

4 answers

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GO Classes Weekly Quiz 4 | Propositional Logic | Question: 8
A very special island, "Smullyan's island", is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You encounter two people, $\text{A}$ and $\text{B. A}$ says " ... , respectively, if they address you in the above way described: Knight, Knight Knight, Knave Knave, Knight Knave, Knave

GO Classes asked in Mathematical Logic Mar 22

409 views

5 votes

2 answers

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GO Classes Weekly Quiz 4 | Propositional Logic | Question: 10
Given the truth table of a Binary Operation \$ as follows: $ ... {array}$ Identify the matching Boolean Expression. $X \$ \neg Y$ $\neg X \$ Y$ $\neg X \$ \neg Y$ none of the options

GO Classes asked in Mathematical Logic Dec 5, 2022

320 views

8 votes

3 answers

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GO Classes Weekly Quiz 4 | Propositional Logic | Question: 1
Let $p$ be the statement Maria learns discrete mathematics and $q$ the statement Maria will find a good job. Which of the following English Statement expresses the statement $p \rightarrow q?$ If Maria learns discrete mathematics, ... a good job. For Maria to get a good job, it is sufficient for her to learn discrete mathematics.

GO Classes asked in Mathematical Logic May 2, 2022

1.0k views

7 votes

2 answers

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GO Classes Weekly Quiz 4 | Propositional Logic | Question: 11
Suppose that during the most recent fiscal year, the annual revenue of Acme Computer was $138$ billion dollars and its net profit was $8$ billion dollars, the annual revenue of Nadir Software was $87$ billion dollars ... largest net profit. If Quixote Media had the smallest net profit, then Acme Computer had the largest annual revenue.

GO Classes asked in Mathematical Logic May 2, 2022

609 views

6 votes

4 answers

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GO Classes Weekly Quiz 4 | Propositional Logic | Question: 9
Let $P,S,R$ be three statements(propositions). Let $S$ be a sufficient condition for $P$, Let $R$ is a necessary condition for $P$ then which of the following is/are true? $S$ is a sufficient condition for $R$. $S$ is ... $S$ is neither sufficient, nor a necessary condition for $R.$ $S$ is a sufficient and necessary condition for $R$.

GO Classes asked in Mathematical Logic May 2, 2022

641 views

32 votes

6 answers

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GO Classes Weekly Quiz 4 | Propositional Logic | Question: 14
Consider the following popular puzzle. When asked for the ages of her three children, Mrs. Baker says that Alice is her youngest child if Bill is not her youngest child, and that Alice is not her youngest child if ... Bill is her youngest child. Carl is her youngest child. Information is not sufficient to find out the youngest child.

GO Classes asked in Mathematical Logic Mar 30, 2022

1.6k views

20 votes

3 answers

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GO Classes Weekly Quiz 4 | Propositional Logic | Question: 15
Consider the following popular puzzle. A boy and a girl are talking. One of them has black hair, another has white hair. I am a boy said the child with black hair. I am a girl said the child with white hair. At ... . Which of them is lying? The boy only The girl only Both of them Information is not sufficient to find out the liar

GO Classes asked in Mathematical Logic Mar 30, 2022

615 views

9 votes

4 answers

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GO Classes Weekly Quiz 4 | Propositional Logic | Question: 2
A sufficient condition for a triangle $T$ be a right triangle is that $a^2+b^2=c^2$. An equivalent statement is If $T$ is a right triangle then $a^2+b^2=c^2$. If $a^2+b^2=c^2$ then $T$ is a right triangle. If $a^2+b^2\neq c^2$ then $T$ is not a right triangle. $T$ is a right triangle only if $a^2+b^2=c^2$.

GO Classes asked in Mathematical Logic Mar 24, 2022

701 views

13 votes

4 answers

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GO Classes Weekly Quiz 4 | Propositional Logic | Question: 12
Let $P$ be a compound proposition over $4$ propositional variables: $a,b,c,d$. We know that for a compound proposition over $n$ propositional variables, we have $2^n$ rows in the truth table. Every row of truth table of $P$ is called an ... $P$ is true for that row. Let $P$ be $'a \rightarrow b'$. How many models are there for $P?$

GO Classes asked in Mathematical Logic Mar 24, 2022

1.1k views

4 votes

3 answers

14

GO Classes Weekly Quiz 4 | Propositional Logic | Question: 3
Suppose that the statement $p \rightarrow \neg q$ is false. What is the number of all possible combinations of truth values of $r$ and $s$ for which $(\neg q \rightarrow r) \wedge (\neg p \vee s)$ is true?

GO Classes asked in Mathematical Logic Mar 24, 2022

1.1k views

9 votes

4 answers

15

GO Classes Weekly Quiz 4 | Propositional Logic | Question: 13
The number of combinations of truth values for $p, q$ and $r$ for which the statement $\neg p \leftrightarrow (q \wedge \neg (p \rightarrow r))$ is true ________

GO Classes asked in Mathematical Logic Mar 24, 2022

541 views

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