Sql Server Query to get Department ID's of above question
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create table #Department(DeptId int,DepartmentName varchar(20))
create table #Employee(EmpId int,DeptId int,EmpName varchar(20),JoiningDate date)

insert into #Department values(1,'Admin')
insert into #Department values(2,'HR')
insert into #Department values(3,'Facility')

insert into #Employee values(1,1,'Pallavi','02-17-2012')
insert into #Employee values(2,1,'Dilip','11-25-2011')
insert into #Employee values(3,2,'Minu','04-13-2010')
insert into #Employee values(4,3,'Laxmi','12-11-2012')
insert into #Employee values(5,1,'Supriya','08-22-2010')
insert into #Employee values(6,2,'Archana','09-19-2015')
insert into #Employee values(7,2,'Namita','05-01-2009')

select * from #Department
select * from #Employee

select d.DeptId from #Department d JOIN  #Employee e on d.DeptId=e.DeptId
where DATEPART(yyyy,e.JoiningDate) < 2013
group by e.DeptId
having count(e.EmpId)>2


drop table #Department
drop table #Employee

Sql Server Query to get Department Names of above question
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create table #Department(DeptId int,DepartmentName varchar(20))
create table #Employee(EmpId int,DeptId int,EmpName varchar(20),JoiningDate date)

insert into #Department values(1,'Admin')
insert into #Department values(2,'HR')
insert into #Department values(3,'Facility')

insert into #Employee values(1,1,'Pallavi','02-17-2012')
insert into #Employee values(2,1,'Dilip','11-25-2011')
insert into #Employee values(3,2,'Minu','04-13-2010')
insert into #Employee values(4,3,'Laxmi','12-11-2012')
insert into #Employee values(5,1,'Supriya','08-22-2010')
insert into #Employee values(6,2,'Archana','09-19-2015')
insert into #Employee values(7,2,'Namita','05-01-2009')

select * from #Department
select * from #Employee

select d.DepartmentName from #Department d JOIN  #Employee e on d.DeptId=e.DeptId
where DATEPART(yyyy,e.JoiningDate) < 2013
group by e.DeptId,d.DepartmentName
having count(e.EmpId)>2


drop table #Department
drop table #Employee

#dkt