Which object forms when a supergiant runs out of fuel? a red giant a black hole a white dwarf a neutron star

I believe the correct answer would be "neutron star"

The supergiant stars are considered as the biggest stars in the universe. They can be thousands of times larger than the Sun and can exhibit a mass up to 100 times more. In the case when the supergiants run out of fuel or hydrogen they give rise to a supernova, and then either turn into a black hole or a neutron star.

A neutron star refers to a very dense but little star, comprising neutrons and emerges as the core of the dead supergiant.

A black hole refers to a location in space, more accurately in time-space, which is most generally known for its drastic gravitational influence and for its dark color.