The correct options are
A the
B−center in borazine is susceptible to nucleophilic attack
B ethane is a gas at room temperature, while ammonia borane is not so
Boron nitride is inorganic graphite and it is not a conductor of electricity, unlike graphite. Its band/energy gap is very high ≈5 eV, equivalent to that of the diamond. B and N have similar electronegativity (3 and 5 valence electrons respectively) thus, they form a very strong covalent bond.
Being covalent in nature and with high band gap its electrons movement is only inside its own molecules so it does not conduct electricity since conduction of electricity means movement of charge by the electrons from one molecule to another.
Since B is an electron deficient centre, therefore is susceptible to nucleophilic attack while nitrogen is susceptible to electrophilic attack.
Ammonia borane also called borazane, have dipolar interaction between to electron rich N and electron deficient B. It is highly polar molecule. The H atoms attached to boron are basic and those attached to nitrogen are somewhat acidic. This tends to form a dihydrogen bond between borazane molecules similar to hydrogen bonding. Thereby strong intermolecular interactions are responsible for its solid state.
With hydrogen chloride, borazine forms an adduct.
Therefore option B and C are correct.