A query in which a field satisfies multiple criteria simultaneously

So you have to do something special.

 
SELECT * FROM news_extinfo 
where 
(ExtID = 1 and OptionValue = 0) 
or (ExtID = 2 and OptionValue = 0 ) 
or (ExtID = 3 and OptionValue = 0 ) 
group by NewsID 
having count(*)=3 

Here count(*) = 3 means

In the results of the query, only result sets with three pieces of data per group after grouping by group are found