Consider the following premises. forall y: T(y). exists y: R(y). forall y: Q(y). Can we infer exists y: Q(y) and R(y) from them?
 From exists y: R(y), forall y: T(y) we can infer exists y: R(y) and T(y). From exists y: R(y) and T(y) we can infer exists y: R(y). Finally, from forall y: Q(y), exists y: R(y) we can infer exists y: Q(y) and R(y). Therefore, the answer is yes.