Maximum innings in a test match can be 4 ,2 innings for each side.....Minimum is 1 innings which is only possible if side batting first keeps on batting and does not declares,but this is very very rare to occur.....Usually 4 innings ,2 for each side are easily played and the match usually ends with a usually i.e win or loss of a particular side.
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There is no limit. You bowl until the other side are all out or the batting captain declares the innings closed. So, theoretically, one innings could last all five days (which at 90 overs per day would make it 450 overs), but it would only get you a draw, so I doubt that will ever happen.