C

1003076708

Level: 
C
The measures of the interior angles of a triangle are \( 30^{\circ} \), \( 45^{\circ} \) and \( 105^{\circ} \). The length of its longest side is \( 10\,\mathrm{cm} \). The length of its shortest side is:
\( 5.18\,\mathrm{cm} \)
\( 7.33\,\mathrm{cm} \)
\( 5.01\,\mathrm{cm} \)
\( 7.07\,\mathrm{cm} \)

1003076702

Level: 
C
The domain of the expression \( \frac{\cos⁡ x}{1-\sin ⁡x} \) is the set:
\( \left\{x\in\mathbb{R}\colon x\neq\frac{\pi}2 + 2k\pi\text{, } k\in\mathbb{Z} \right\} \)
\( \mathbb{R} \)
\( \left\{x\in\mathbb{R}\colon x\neq\frac{3\pi}2 + 2k\pi\text{, } k\in\mathbb{Z} \right\} \)
\( \left\{x\in\mathbb{R}\colon x =k\pi\text{, } k\in\mathbb{Z} \right\} \)

1003034403

Level: 
C
In a group of \( 100 \) people, \( 60 \) people like swimming, \( 50 \) people like horse-riding, \( 36 \) people like cycling. Further, \( 16 \) people like swimming and horse riding, \( 19 \) people like swimming and cycling, \( 15 \) people like horse-riding and cycling. How many people in the group enjoy only one of these activities?
\( 58 \)
\( 29 \)
\( 23 \)
\( 6 \)
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