$A,B,C$ are three substances. $A$ does not conduct electricity in the solid, molten state and aqueous solution. $B$ conducts electricity both in the fused and aqueous states, while $C$ conducts electricity only in the aqueous state. In solid state neither $B$ nor $C$ conducts electricity. Which of the following statements is/are true regarding $A,B$ and $C$?

The correct options are
B $A$ has non-polar covalent linkage
C $B$ is ionic in nature
D C has polar covalent bonds

$A$ does not conduct electricity in the solid and molten state suggests that $A$ is not an ionic compound and it can be a covalent compound.

$A$ is not conducting electricity in aqueous solution also, it suggests that all the element in compound $A$ has the same electronegativity.

Hence, $A$ can be non-polar covalent compound that means it has non-polar covalent linkage.

$B$ conducts electricity in a fused state and in aqueous states, This represents that the electronegativity difference in the compound is very high.

Hence, $B$ can be an ionic bond

$C$ conducts electricity in only in the aqueous state. It means that $C$ does not conduct electricity in a molten state that means $C$ is not an ionic compound.

It can be a covalent compound and as it is conducting electricity in the aqueous state, there must be small electronegativity difference.

Hence, $C$ can be a polar covalent compound.