Va rog mult dau coroana!

Răspuns:
Cel mai mic număr de elevi: 33
237 de elevi
Explicație pas cu pas:
[tex]\it Fie\ e - num\breve a rul\ elevilor\ .\\ \\ e-3\in M_6\cap M_{10}\cap M_{15}\\ \\ \[ [6,\ \ 10,\ \ 15 ]=30 \Rightarrow e-3=30 \Rightarrow e=33\ (cel\ mai\ mic\ num\breve a r\ de\ elevi)\\ \\ \\ 210 < e < 250 \Rightarrow 210 < 33k < 250\Big|_{:33} \Rightarrow \dfrac{210}{33} < k < \dfrac{250}{33} \Rightarrow \\ \\ \\ \Rightarrow 6\dfrac{12}{33} < k < 7\dfrac{19}{33} \Rightarrow k=7\\ \\ 33\cdot7=231\ (num\breve a rul\ de\ elevi\ cuprins\ \hat\imath ntre\ 210\ \d si\ 250)[/tex]