Consider the following premises. David is working if and only if Jennifer is reading a book. If Jennifer reads a book, then it is overcast. If David works, then Jessica is running. Jessica is not running. If it is overcast, then Jennifer is reading a book. Can we infer the following from them? It is overcast.
 From the fact that if Jennifer reads a book, then it is overcast, and that if it is overcast, then Jennifer is reading a book we can infer that Jennifer is reading a book if and only if it is overcast. From the fact that if David works, then Jessica is running, and that Jessica is not running we can infer that David is not working. From the fact that David is working if and only if Jennifer is reading a book, and that David is not working we can infer that Jennifer is not reading a book. Finally, from the fact that Jennifer is reading a book if and only if it is overcast, and that Jennifer is not reading a book we can infer that it is not overcast, which contradicts that It is overcast. Therefore, the answer is no.