Consider the following premises. There is at least one x for which x will drink water. For all x, x will drive a car. For all x, x is bored. Can we infer the following from them? There is at least one x for which x is bored and x will drive a car.
 From the fact that for all x, x will drive a car, and that there is at least one x for which x will drink water we can infer that there is at least one x for which x will drive a car and x will drink water. From the fact that there is at least one x for which x will drive a car and x will drink water we can infer that there is at least one x for which x will drive a car. Finally, from the fact that for all x, x is bored, and that there is at least one x for which x will drive a car we can infer that there is at least one x for which x is bored and x will drive a car. Therefore, the answer is yes.