The correct options are
A A catalyst is chemically unchanged at the end of a reaction
B A catalyst may appear in the kinetic rate equation of the reaction
C A catalyst cannot cause a non-spontaneous (Δ G > 0) reaction to proceed
D A catalyst will not affect the composition of an equilibrium mixture
A catalyst participates in the reaction. It may be consumed during the reaction but it is regenerated at the end of the reaction. Hence, a catalyst is chemically unchanged at the end of a reaction.
A catalyst may take part in the rate determining step. hence, it may appear in the kinetic rate equation of the reaction.
A catalyst will only increase the rate at which equilibrium is established. It will not affect the composition of an equilibrium mixture.
A catalyst only affects the rates of forward and reverse reaction. It cannot cause a non-spontaneous ( G > 0) reaction to proceed.