If \( x \) is a positive integer satisfying of \( \leq x \leq 121 \) and \( y=\frac{x^{2}+4 \sqrt{x}(x+16)+256}{x+8 \sqrt{x}+16} \), then which of the following is satistiod by \( y \) ? \( \begin{array}{llll}\text { (a) } 39 \leq y \leq 08 & \text { (b) } 38<y<94 & \text { (c) } 40<y \leq 08 & \text { (d) } 42 \leq y \leq 78\end{array} \quad \) (c) \( 52 \leq y \leq 88 \)

A straight highway connects Town A and Town B, a distance of 45 kilometres, Andy started biking along the highway from Town A to Town B at 8:00 AM at a constant speed of 3 kilometres per hour. Ben started biking on a parallel highway from Town B to Town A at 9:00 AM at a constant speed of 4 kilometres per hour. How many kilometres had Ben biked when they met along the way?

4. \( \frac{(4 n)!+(4 n+1)!}{(4 n+1)!-(4 n)!} \) ifadesinin eşiti aşağıdakilerden han- gisidir? \( \begin{array}{ll}\text { A) } \frac{2 n+1}{2} & \text { B) } \frac{2 n+1}{n} \\ \text { C) } \frac{2 n+1}{2 n} & \text { D) } \frac{2 n}{2 n+1}\end{array} \)

Reducir los siguientes polinomios \[ \frac{2}{3} a+\frac{4}{3} a+\frac{5}{4} a+\frac{2}{3} b+\frac{5}{2} b \]

\[ \frac{(2 n-3)!\cdot(3 n-3)!}{(2 n-1)!\cdot(3 n-4)!}=\frac{1}{14} \] olduğuna göre, \( n \) kaçtır?

5. \( \frac{(n+1)!}{(n-4)!}=6 n^{2}+6 n \) olduğuna göre, \( n \) kaçtır? \( \begin{array}{llll}\text { A) } 7 & \text { B) } 6 & \text { C) } 5 & \text { D) } 4 \\ \text { 5) } 3\end{array} \)