A+B→A3B2          unbalancedA3B2+C→A3B2C2          unbalancedAbove two reactions are carried out by taking 3 moles each of A and B and one mole of C.  Then which option is/are correct?

Rewriting the given equations 3/2 A+B→1/2 A3B2 1/2 A3B2+C→1/2 A3B2C2C is a limiting reagent so A3B2C2 should contain only one mole of C therefore 1/2 mole of is considered and entire reaction is balanced accordingly.Therefore only 1/2 mole of A3B2C2 is formed.