Bear with me, because I don't have anything in front of me, so I can't call the cards by name.

When researching, there is a card that lets you put a success on the research as long as you have at least one scientist assigned to it. Can you use it even if the scientist is/becomes exhausted? My brother and I were playing the game the other day, and he wanted to use it before he even rolled once. I told him that I thought you could use that card even if his scientist became exhausted, he could still use it, due to the fact that, exhausted or not, there is still a scientist assigned to it, so he should roll, and use the card's power if the roll came out less than perfect.

Another question is that when you have to kill a soldier/destroy an interceptor due to crisis cards, do they have to be on the board, or can they be the ones held in reserve? Another question about crisis cards, or the alien objective where is your base is damaged and it tells you to draw a crisis card and put it in the pile face down, specifically. If the base is damaged due to crisis cards resolving, and the base damaged ability goes of, do you put that crisis card face down on the current pile and immediately resolve it, or do you resolve the other cards and keep that card on the crisis pile for the next round?

Any help would be greatly appreciated.

Interesting comments. Whilst I can't cite specific rulings I think the following:

1) Could be read either way; I assume that if a scientist is exhausted then they are no longer assigned however since they are still on the board at that point you could, I guess, count them as still bring assigned. Might need an official ruling.

2) Regarding removing Interceptors, I've always assumed it means from ones assigned to the board rather than from the reserve. It doesn't specifiy, but why would an Interceptor be destroyed if it wasn't in combat? Again, it could do with an official clarification though.

3) I play these exactly as worded, the cards are placed face down the crisis card pile when specified; if you are currently resolving crises then it will be the next card you resolve, if this happens to be after you have already resolved crises that turn then they stay there ready to be resolved in the next resolution phase.

Regarding 1) there is this from the rules

"EXHAUSTED

An exhausted satellite or scientist is flipped facedown and cannot be assigned to tasks or cards until refreshed."

I would take this to mean that as an exhausted scientist cannot be assigned to a task, if it had previously been assigned to a task, it is no longer counted as assigned to that task.

And this from further on in the rules seems to confirm things:

"When a scientist is exhausted, it is flipped facedown. It cannot be assigned to a task or card until it is refreshed."

It could do with stating "It cannot be assigned nor is it counted as assigned to a task or card until it is refreshed" and until such clarification is made it is still open to interpretation but I personally would go with it not being assigned.

Whilst browsing through the app yesterday I think my assumptions above may be wrong.

If the card the OP is talking about is Alien Construction (which states: Exhaust this - place 1 success token on a tech card that has at least 1 scientist assigned to it) then you can use this ability to put a success token on an unresearched tech that has an exhausted scientist in the lab.

From the FAQ on the app:"Can the Chief Scientist use Alien Construction even if the scientists assigned to the research are exhausted? Yes."

I was just signing on to say that I saw that today too, lol.

That just leaves the whole killing soldiers/destorying Interceptors crisis cards. I'm putting my money that you can use the ones in reserves, under the flavor of it being an attack on the base. If anyone can get an official ruling, feel free to post it.

Answer found on topic here : https://community.fantasyflightgames.com/index.php?/topic/135486-killingdestroying-stuff/?hl=%2Bcrisis+%2Bcards

When it doesn't specify, yea, you can kill whatever units you have available. Sometimes the effect says some like "kill 1 soldier on the mission" or "remove 2 interceptors from global defense" or some such.

With regards to the question about the "auto-success" of science, I'm glad there was an official ruling stating it works that way.