A

2000004505

Level: 
A
Out of \(15\) boys and \(15\) girls in a class, \(5\) boys and \(5\) girls got A, \(5\) boys and \(5\) girls got B, and another \(5\) boys and \(5\) girls got C on a Math-test. (There were no Ds and Fs on this test.) Determine the smallest value of \(n\in\mathbb{N}\), so that if a team of \(n\) children is set-up, then certainly at least two children of the same gender and with the same grade are on the team.
\( 7\)
\( 6\)
\( 15 \)
Could not be determined.

2000004301

Level: 
A
Find the intervals of monotonicity of the quadratic function \( f(x)=4-3x^2\).
The function is increasing on \( (-\infty; 0 ]\) and decreasing on \( [ 0 ; +\infty)\).
The function is increasing on \( (-\infty; 4 ]\) and decreasing on \( [ 4 ; +\infty)\).
The function is decreasing on \( (-\infty; 0 ]\) and increasing on \( [ 0 ; +\infty)\).
The function is decreasing on \( (-\infty; 4 ]\) and increasing on \( [ 4 ; +\infty)\).