This is not how to query a database - it is impossible for your query to return any results, as it is impossible for id_num to equal 101 AND 203. Perhaps you should read up on SQL.
You may be able to do this with an aggregate together with HAVING -
SELECT usr_id, id_num
FROM test
WHERE id_num IN (101, 201)
GROUP BY usr_id
HAVING COUNT(usr_id) > 1;
Duplicate values for usr_id and id_num will throw off results, for instance given the following data
usr_id id_num
usr1 101
usr1 101
usr2 201
the query will result in
usr_id id_num
usr1 101