A number $X$ lies between $0$ and $1$. Which of the following is true?

Since $X$ lies between $0$ and $1$ ($0<X<1$), let's pick a value to test, for example $X=0.25=\frac{1}{4}$.
Let's evaluate the options:

* Option A: $0.25>\sqrt{0.25}⟹0.25>0.5$ (False)
* Option B: $0.25>\frac{1}{0.25}⟹0.25>4$ (False)
* Option C: $(0.25{)}^3>(0.25{)}^2⟹\frac{1}{64}>\frac{1}{16}$ (False)
* Option D: $\frac{1}{0.25}>\sqrt{0.25}⟹4>0.5$ (True)

For any fractional value $0<X<1$, its reciprocal $\frac{1}{X}$ is greater than $1$, whereas its square root $\sqrt{X}$ is less than $1$ but greater than $X$. Hence, $\frac{1}{X}>\sqrt{X}$ is strictly true.