The queries that execute successfully are 'SELECT NULLIF (100, 100) FROM DUAL;' and 'SELECT COALESCE (100, NULL, 200) FROM DUAL;'. The first query works because both arguments in the NULLIF function are valid and of compatible types, and the function checks if both arguments are equal. The second query uses COALESCE, which returns the first non-null value from the list of arguments, so it also executes without issues. Options involving incompatible data types or the literal NULL in the wrong position for the NULLIF function do not execute successfully.