Are you ready to take your first step toward achieving your goal?
- 10 diagnosis quiz questions
- 10 minutes in duration
- Required to attempt all questions
- A mixture of short answer and multiple-choice questions
- Instant feedback straight after the test
OK, let’s get started now!
Are you ready to take your first step toward achieving your goal?
- Ten diagnosis quiz questions
- Ten minutes in duration
- Required to attempt all questions
- A mixture of short-answer and multiple-choice questions
- Instant feedback straight after the quiz
OK, let’s get started now!
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- Question 1 of 10
1. Question
For the two propositions \(p \) and \(q \) given:
\(p:\) I visited Europe.
\(q:\) I never visited Europe.
Is \(q \) the negation of \(p\) ?CorrectIncorrect - Question 2 of 10
2. Question
Given \(U = \left\{ {x|2 \le x \le 8,x \in N} \right\}\) and the following pair of propositions, find the truth set of \(p \vee q\).
• \(p:\) \(x \) is odd.
• \(q:\) \(x \) is prime.CorrectIncorrect - Question 3 of 10
3. Question
The propositions \(\neg \left( {p \vee q} \right)\) and \(\neg p \vee \neg q \) are logically equivalent. Use the truth table.
CorrectIncorrect - Question 4 of 10
4. Question
Construct a truth table \(p \wedge \left( {q \wedge r} \right)\).
\( \begin{array}{|c|c|c|c|c|} \hline
p & q & r & q \wedge r & p \wedge \left( {q \wedge r} \right) \\ \hline
\text{T} & \text{T} & \text{T} & a & b \\ \hline
\text{T} & \text{T} & \text{F} & c & d \\ \hline
\end{array} \)\(a = \) , \(b = \)
\(c = \) , \(d = \)
CorrectIncorrect - Question 5 of 10
5. Question
Find \(x \), \(y \) and \(z \) for \(\left( {p \Leftrightarrow q} \right) \wedge \neg p\).
\( \begin{array}{|c|c|c|c|c|} \hline
p & q & \Leftrightarrow q & \neg p & \left( {p \Leftrightarrow q} \right) \wedge \neg p\\ \hline
\text{T} & \text{T} & x & y & z \\ \hline
\end{array} \)\(x = \) , \(y = \) , \(z = \)
CorrectIncorrect - Question 6 of 10
6. Question
Find \(x \) and \(y \) for \(\neg q \Rightarrow p\).
\( \begin{array}{|c|c|c|c|c|} \hline
p & q & \neg q & \neg q \Rightarrow p \\ \hline
\text{F} & \text{F} & x & y \\ \hline
\end{array} \)\(x = \) , \(y = \)
CorrectIncorrect - Question 7 of 10
7. Question
Find \(x \), \(y \) and \(z \) for \(\neg q \Rightarrow \neg p\).
\( \begin{array}{|c|c|c|c|c|} \hline
p & q & \neg p & \neg q & \neg q \Rightarrow \neg p \\ \hline
\text{F} & \text{F} & x & y & z \\ \hline
\end{array} \)\(x = \) , \(y = \) , \(z = \)
CorrectIncorrect - Question 8 of 10
8. Question
Find \(x \), \(y \) and \(z \) for \(\neg q \Rightarrow \neg p\).
\( \begin{array}{|c|c|c|c|c|} \hline
p & q & \neg p & \neg q & \neg q \Rightarrow \neg p \\ \hline
\text{F} & \text{F} & x & y & z \\ \hline
\end{array} \)\(x = \) , \(y = \) , \(z = \)
CorrectIncorrect - Question 9 of 10
9. Question
Determine if the following argument is valid using the truth table.
All musicians can read music scores.
David Bowie can read music scores.
David Bowie is a musician.CorrectIncorrect - Question 10 of 10
10. Question
Determine the validity of this argument:
It is windy and Amy gets cool. Therefore, Amy feels happy.CorrectIncorrect