Logic - Lise 1

The following is a statement:

When is our math quiz?

• true

• false

The following is a statement:

İzmir is a city in Turkey.

• true

• false

Which of the following is the negation of:

q: "4 > 2 or 3 + 4 = 8"

• $4<2\ or\ 3\ +\ 4\ \ne8$

• $4\le2\ or\ 3\ +\ 4\ \ne8$

• $4\le2\ \ and\ \ 3\ +\ 4\ \ne8$

• $4<2\ and\ 3\ +\ 4\ \ne8$

Write the truth value of the following statement:

Adding a prime number and an even number will always result in an odd number.

• 0

• 1

When is a biconditional compound statement true?

• when both statement are true

• when both statements are false

• when both statements are different values

• when both statements are the same value

When is an exclusive or statement true?

• When both statements are false

• When both statements are true

• When both statements are different values

• When both statements are the same value

 $\forall x,y\in R,\ \left(x+2\right)^2-y\ =\ x^2+4\ -\ y$  

Determine the truth value 

• 0

• 1

 $\exists\ x\ \in\ R,\ \ \ x^2\ +\ 4x\ -\ 6\ =\ 6$  

Determine the truth value

• 0

• 1

 $q\ \wedge\ \left(p'\ \vee\ q\right)'$  

Determine if the statement is a tautology, contradiction, or neither

• tautology

• contradiction

• neither

 $\left(\left(p\ \wedge\ r\right)\ \vee\ \left(q\ \wedge\ r\right)'\right)\ \vee\ p'$  

Determine if the statement is a tautology, contradiction, or neither

• tautology

• contradiction

• neither