You have to play QQ and JJ carefully, but you have to 3-bet with these
hands pre-flop to get some informations:
For example if UTG, UTG+1 open the pot and you 3-bet, if he got AA or KK he will 4-bet, unless he is a tricky player and decides to cold call.
On a low board if you are facing a bet, try to raise to get some informations, if he 3-bet, you are in a bad spot and consider folding. If he just call, try to check behind on the turn and take your hand to show down.
In general these are classic cooler situation and you can't avoid them especially in mtts, unless you are ITM near the bubble.