I'd say A. Its the nose wheel being vibrated by the ground. You will get it on a warrior and you can feel it through the pedels.
NOT B they've given you a clue by talking about the gear being raised.
Not sure about the EGT but some fuel/air mix will change the EGT. Find a manual for a plane fitted with and EGT and read about the recommended mixture settings and what EGT you should be aiming for.
After the power stroke, which valves are open?
We are talking about a four stoke engine:
Suck Squeeze Bang Blow. I'd say that the outlet valve opens.
Leaning the mixture think about the first place that effect happens. Air and fuel are mixed in the carb. so, i'd say that C was your answer
Damped forces for landing. I think they are talking about the oleo. Therefore find out what's in one. I think you're right with A
No-one really likes the questions, but like redo says they're just hoops.