The harmonic responses of the magnetic induction of a superconducting YBa2Cu3O7-x:Ag0.1 composite at 77 K were measured as a function of the amplitudes of the exciting AC fields and the biasing DC fields. The odd harmonic responses of the zero-field cooled sample exhibit oscillatory nature with increase in the biasing field. The hysteresis of these responses due to the cycling of the biasing field shows a 'butterfly'-like structure at low excitation and more complex behavior at higher levels of exciting field. The hysteresis effects are discussed qualitatively in terms of the trapped flux and critical state model.