The correct options are
A petrochemical industries during cracking
B ion-exchange beds in water purification
Zeolite used in the petroleum industry is ZSM-5. It convents alcohols directly into gasoline (petrol).
Zeolites are used as ion-exchange beds in water purification, softening.
Zeolites are used to separate molecules (only molecules of certain sizes and shapes can pass through), and as traps for molecules so they can be analyzed. Zeolites are also used as catalysts and sorbents.
Zeolites are widely used as catalysts in the petrochemical industry.
Hence, a and b are correct.