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Recent questions tagged goclasses2025_cs_wq1

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GO Classes CS 2025 | Weekly Quiz 1 | 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 ... false.False because $(p \wedge q)$ is true and $(q \vee \sim r)$ is true.
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GO Classes CS 2025 | Weekly Quiz 1 | 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 respectivelyTrue, TrueTrue, FalseFalse, FalseFalse, True
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GO Classes CS 2025 | Weekly Quiz 1 | 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$
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GO Classes CS 2025 | Weekly Quiz 1 | 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 :TrueFalseTrue if $r$ is falseTrue if $q$ is true
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GO Classes CS 2025 | Weekly Quiz 1 | 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 ... address you in the above way described:Knight, KnightKnight, KnaveKnave, KnightKnave, Knave
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GO Classes CS 2025 | Weekly Quiz 1 | Propositional Logic | Question: 10
Given the truth table of a Binary Operation \$ as follows:$ ... $ \neg Y$\neg X \$ Y$\neg X \$ \neg Y$none of the options
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GO Classes CS 2025 | Weekly Quiz 1 | 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 ... to get a good job, it is sufficient for her to learn discrete mathematics.
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GO Classes CS 2025 | Weekly Quiz 1 | 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, ... had the smallest net profit, then Acme Computer had the largest annual revenue.
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GO Classes CS 2025 | Weekly Quiz 1 | 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 ... $S$ is a sufficient and necessary condition for $R$.
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GO Classes CS 2025 | Weekly Quiz 1 | 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 ... is her youngest child.Information is not sufficient to find out the youngest child.
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GO Classes CS 2025 | Weekly Quiz 1 | 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 ... ?The boy onlyThe girl onlyBoth of themInformation is not sufficient to find out the liar
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GO Classes CS 2025 | Weekly Quiz 1 | 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 isIf $T$ is a right triangle then $a^2+b^2=c^2$ ... $T$ is a right triangle only if $a^2+b^2=c^2$.
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GO Classes CS 2025 | Weekly Quiz 1 | 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 ... Let $P$ be $'a \rightarrow b'$.How many models are there for $P?$
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GO Classes CS 2025 | Weekly Quiz 1 | 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?
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GO Classes CS 2025 | Weekly Quiz 1 | 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 ________
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