Natural selection is random favors organisms well adapted to the environment cannot work if beneficial traits are not hereditary is often called survival of the fittest which ones apply?

The second one and the last one are true; natural selection favours organisms well adapted to the environment, and is often called survival of the fittest. 

Natural selection is not random, as evolution is not a random process.
Also, natural selection can occur even if the trait is not hereditary, as the process involves genetic mutations too.

So B and D.

Hope that helps!

B and D are correct.