If he/she has worked on intrusion systems before, they should be able to give some basic information about them, without you prompted anything other than the question, "What systems have you worked on, and what can you tell me about them? What was it like to program them?"
Once I interviews to work for the local telephone company, and I was surprised during the interview when one of the technical supervisors asked me the question, "What steps would you take to troubleshoot a customer with no working phone" or something along those lines. Basically a very broad question, with no answer. I assume the idea was to see how I handled trouble shooting, and at the same time see what sort of knowledge I experienced.
I don't know much about fire alarm, but for intrusion a question could be, "How would you trouble shoot a faulty door contact?" This question could apply to your Access Control side as well.
Or to get more advanced on the intrusion side, if you do alarm monitoring, "How would you trouble shoot an alarm panel that appears to not be sending signals?"
For me, the answers would be;
Are there any errors on the panel? If I know when communication stopped, talk with customer to see if anything of note happened around that time.
Check customers phone, if using POTS. Check the GSM, if using that, or check the internet, if using the internet for communication. Make sure the devices/modes of transportation are operational.
Check Panel programming, make sure correct information is in there. Phone number, account number, that communications is enabled.
Make sure all the information in the alarm panel, matches what's on the other end in the Monitoring Center. The phone number programmed is the right phone number for the receiver the account is on. The account number is right.
Can I phone and reach the receiver from the customers telephone? Can I ping the receiver from the customers internet?