Syntax: cat <filename> | jq -c '.[] | select( .<key> | contains("<value>"))'
Example: To get json record having _id equal 611
cat my.json | jq -c '.[] | select( ._id | contains(611))'
Remember: if JSON value has no double quotes (eg. for numeric) to do not supply in filter i.e. in contains(611)
I'm answering my own question. It is possible by piping one select statement into another for an AND operation. Not sure about the OR.