Your questions are replied as under as :-
Weather the any public can question the recruitment of particular person to the Govt Dept???
Ans : Yes
Violation of rules and act in recruiting the officer.
Ans : Yes
Can we file casein Administrative tribunal (CAT or KAT)?? and what type of case in CAT OR KAT
Ans : No. only affected person (person who feels wrongly rejected) can file case in CAT. No PIL can be file
What type of case can be filed in the HC ???
Ans : Writ mandamus if the authorities are not taking action against the guilty.
Writ Quo-warranto against the person who is wrongly appointed.