See related questions.
No, black holes cannot turn into neutron stars. Neutron stars form from the remnants of supernova explosions of massive stars, while black holes are formed from the gravitational collapse of massive stars. Once a black hole is formed, it will remain a black hole and will not transform into a neutron star.
It all relates to what you define as big. A black hole is an infinite region in space with an infinite density. It's "event horizon" is not infinite. If you wish to categorise between size of a neutron star and a black hole's "event horizon", then a black hole is, in most cases larger - but there are micro black holes, which exhibit all the characteristics of a black hole but have a much smaller "event horizon". In the physical sense, everything is bigger than a black hole, but in a terminological sense (the event horizon) it would depend on the mass of the black hole.
There's no mass range that's between "collapses into a neutron star or pulsar" and "collapses into a black hole". It'll be one or the other.
A black hole or a neutron star.
A black hole has more mass than a neutron star, but if you are comparing volume it would depend on the mass of the black hole. A neutron star is estimated to be about 14 miles in diameter, which is larger than the event horizon of a black hole up to about 3.8 times the mass of the sun. A more massive black hole will be larger.
A neutron star or a pulsar, or a black hole.
The factor that determines whether a neutron star or a black hole forms after a supernova explosion is the mass of the collapsing core of the star. If the core's mass is between about 1.4 and 3 times the mass of the sun, a neutron star is formed. If the core's mass exceeds about 3 solar masses, a black hole is likely to form.
the differece is a just like black hole and gutter hole.
When it turns into a black dwarf neutron star or black hole.
about 1/3 of a neutron star
after a neutron star collapses on itself
when a star dies