Let $x$ be a real number. Which one of the following statements is a sufficient condition for exactly three of the other four statements?
A $x \geq 0$ B $x = 1$ C $x = 0$ or $x = 1$ D $x \geq 0$ or $x \leq 1$ E $\quad x \geq 0$ and $x \leq 1$
..... 15
Let $x$ be a real number.
Which one of the following statements is a sufficient condition for exactly three of the other four statements?

A $x \geq 0$
B $x = 1$
C $x = 0$ or $x = 1$
D $x \geq 0$ or $x \leq 1$
E $\quad x \geq 0$ and $x \leq 1$