SQL Server - Select first row that meets criteria

Question

I have 2 tables that contain IDs. There will be duplicate IDs in one of the tables and I only want to return one row for each matching ID in table B. For example:

Table

Answer 1

You can do so,by using a subselect for table a to get one entry per objectIdA group

select b.*,a.[objectIdB]
from b
join 
(select [objectIdA], max([objectIdB]) [objectIdB]
 from a group by [objectIdA]
) a 
on(b.[objectIdA] = a.[objectIdA])

Fiddle Demo

Edit deom comments to get a whole row from tablea you can use a self join for tablea

select b.*,a.*
from b
join a
  on(b.[objectIdA] = a.[objectIdA])
join (select [objectIdA], max([objectIdB]) [objectIdB]
 from a group by [objectIdA]) a1 
  on(a.[objectIdA] = a1.[objectIdA] 
     and 
    a.[objectIdB] = a1.[objectIdB])

Fiddle Demo 2