$S(x) :$ $x$ is a Student.
$F(x) :$ $x$ is a Faculty.
$A(x,y ) :$ $x$ has asked $y$ a Question.
Let me consider that Domain of discourse, over which my variables $x,y$ may range, consists of All People in a College.
Some student has asked every faculty member a question :
We can re-write it as "There is some student $x$ such that If $y$ is a Faculty then $x$ has asked $y$ a Question. "
Which again can be re-written as "There is some $x$ such that ($x$ is a Student and If $y$ is a Faculty then $x$ has asked $y$ a Question.) "
So, $\exists x(S(x) \wedge \forall y(F(y) \rightarrow A(x,y)))$