What other kind of access point do you expect to find. For a wired connection you plug into a switch, whereas a Wireless Access Point gives you wireless access to a wired network. You'll need to know the differences between APs hubs and switches when you sit the exam.
Not a lot of info in this one again but we know 1. Wired connections are working normally (implies the DHCP server is working but can't communicate to some machines, or there is an IP conflict) and 2. No machines experiencing issues have a static IP (implying the issue isn't an IP conflict).
It doesn't explicitly mention that the other machines are wireless but i think this is implied in the wording.
So we know DHCP CAN hand out IP addresses but there's a connection problem with ONLY wireless devices. First step would be to find the closest AP (Is it in range, is it working, did a cleaner unplug it or something silly like that over night)