B

9000086604

Level: 
B
Determine the truth values of propositions \(a\) and \(b\) if you know that the compound proposition \[ \neg (a \wedge \neg b) \] is false.
The statement \(a\) is true, \(b\) is false.
Both statements are true.
The statement \(a\) is false, \(b\) is true.
Both statements are false.

9000086605

Level: 
B
Determine the truth values of propositions \(a\) and \(b\) if you know that the compound proposition \[ \neg a\implies \neg b \] is false.
The statement \(a\) is false, \(b\) is true.
Both statements are true.
The statement \(a\) is true, \(b\) is false.
Both statements are false.

9000086607

Level: 
B
Determine the truth values of propositions \(a\) and \(b\) if you know that the compound proposition \[ (\neg a \vee b) \wedge a \] is true.
Both statements are true.
The statement \(a\) is true, \(b\) is false.
The statement \(a\) is false, \(b\) is true.
Both statements are false.

9000085310

Level: 
B
The pad in the form of (not necessarily regular) octagon is manufactured from a square. The side of the square is \(4\, \mathrm{cm}\). An isosceles right triangle of the hypotenuse \(1\, \mathrm{cm}\) is removed from each corner of the square which results in the desired octagon. How much of the material of the initial square goes to the waste?
\(12.5\, \%\)
\(10\, \%\)
\(15\, \%\)
\(20\, \%\)

9000086608

Level: 
B
Determine the truth values of statements \(a\) and \(b\) if you know that the compound statement \[ \neg a \iff (a \wedge b) \] is true.
The statement \(a\) is true, \(b\) is false.
Both statements are true.
The statement \(a\) is false, \(b\) is true.
Both statements are false.