I am using solr, set up at localhost:8983 I am basically using the out of the box example. I have entered one document with a name \"Car\", and another with a name \"Cars\".
It is possible, just add porter filter at the end (after LowerCaseFilterFactory):
<filter class="solr.SnowballPorterFilterFactory" language="English" />
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If there is no special need, I would not divide analyser to index and query time. Your query time analyser looks perfectly good to use it in both cases.
I found that changing from text_general to text_en in the shema.xml fields took care of this plurality problem