The given excerpt clearly indicates that a star can run out of hydrogen and energy only after millions or billions of years. Only then it collapses to a little ball with gravity. This means it would live till those millions or billions of years.
'Black hole' is a region in the space which has such strong gravitational force that it pulls every object that passes through it. Albert Einstein predicted that black star would exist if a dead star also had enough gravity. Hence, "option A" is the correct one.
