Consider the following statements about a polynomial $\mathrm { f } ( x )$ :\\
I $\mathrm { f } ( x ) = p x ^ { 3 } + q x ^ { 2 } + r x + s$, where $p \neq 0$.\\
II There is a real number $t$ for which $\mathrm { f } ^ { \prime } ( t ) = 0$.\\
III There are real numbers $u$ and $v$ for which $\mathrm { f } ( u ) \mathrm { f } ( v ) < 0$.\\
Which of these statements is/are sufficient for the equation $\mathrm { f } ( x ) = 0$ to have a real solution?

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\begin{tabular}{|l|l|l|l|}
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 & Statement I is sufficient & Statement II is sufficient & Statement III is sufficient \\
\hline
A & Yes & Yes & Yes \\
\hline
B & Yes & Yes & No \\
\hline
C & Yes & No & Yes \\
\hline
D & Yes & No & No \\
\hline
E & No & Yes & Yes \\
\hline
F & No & Yes & No \\
\hline
G & No & No & Yes \\
\hline
H & No & No & No \\
\hline
\end{tabular}
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