(a) The nucleus has most of the mass and comprises most of the volume of an atom; false
The nucleus has most of the mass but the volume of an atom is depends on the distance between the nucleus and the position of the electrons.
(b) Every atom of a given element has the same number of protons; true
They may have different number of neutrons and so you have isotopes but the number of protons remain the same for a given element.
(c) The number of electrons in an atom equals the number of neutrons in the atom; false
The number of electrons in an atom equals the number of protons in the atom.
The electrons are negatively charged which compensate the positively charged protons not the neutrons which do not have a charge (they are neutral).
(d) The protons in the nucleus of the helium atom are held together by a force called the strong nuclear force. true