Concept:
Optically isotropic minerals have the same optical properties in all directions.
Step 1: Check statement A.
Optically isotropic minerals are not necessarily opaque. Many isotropic minerals transmit light.
\[
A \text{ is incorrect}
\]
Step 2: Check statement B.
In isotropic minerals, light travels with the same velocity in all directions.
\[
B \text{ is correct}
\]
Step 3: Check statement C.
If refractive index varies with direction, the mineral is anisotropic, not isotropic.
\[
C \text{ is incorrect}
\]
Step 4: Check statement D.
Garnet belongs to the cubic system and is optically isotropic.
\[
D \text{ is correct}
\]
Thus, the correct statements are:
\[
B,D
\]
\[
\therefore \text{Correct Answer is (D)}
\]