Consider the following premises. For all z, z will play squash or z will make tea. For all z, z will not play squash. Can we infer the following from them? There is at least one z for which neither z will make tea nor z will cook.
 From the fact that for all z, z will play squash or z will make tea, and that for all z, z will not play squash we can infer that for all z, z will make tea. Finally, from the fact that for all z, z will make tea we can infer that for all z, z will make tea or z will cook, which contradicts that There is at least one z for which neither z will make tea nor z will cook. Therefore, the answer is no.