B

2010007206

Level: 
B
The radian measure of the angle \( \varphi \) is \( \frac{\pi}4 \). What is the sum of all the radian measures of the angles coterminal to \( \varphi \) from the interval \( [ -5\pi; 5\pi ] \)? (Two angles are coterminal if they are drawn in the standard position and both have their terminal sides in the same location.)
\( \frac54\pi \)
\( 2\pi \)
\(0 \)
\( \frac34\pi \)

2010007103

Level: 
B
Assuming \(x\in \mathbb{N}\), \(x \geq 2\), find the solution set of the following inequality. \[ \left({ x\above 0.0pt x - 2}\right)\cdot \left({x\above 0.0pt 2}\right) - 20\cdot \left({x\above 0.0pt 2}\right) + 96 < 0 \]
\(\{5\}\)
\(\{9;10;11\}\)
solution does not exist
\( (8;12)\)

2010007102

Level: 
B
Consider a set of \(n\) mutually different objects. If \(n\) is increased by \(5\), the number of \(2\)-permutations of these objects is increased by \(340\). Find \(n\). (The term „\(k\)-permutation” stands for an ordered arrangement of \(k\) objects from a set of \(n\) objects.)
\( 32\)
\( 34\)
\( 64\)
\( 18\)