14) Given two reals $x$ and $y$ such that $0<x<y<1$, in which interval is $x \sqrt{y}$ found?
(A) Between 0 and $x$
(B) between $x$ and $y$
(C) between $y$ and 1
(D) after 1
(E) depends on the values of $x$ and $y$.
14) The answer is (A)

Given $0<y<1$, it follows that $0<\sqrt{y}<1$. Multiplying by $x$ gives $0<x \sqrt{y}<x$.