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Need IN Depth Explanation for each option

1.  POSET [ A ; <= ]  is
a) Bounded Lattics
b) Distributive Lattice
c) Complemented Lattice
d) Boolean Algebra
2.  POSET [ P(A)  ; $\subseteq$ ]  is
a) Bounded Lattics
b) Distributive Lattice
c) Complemented Lattice
d) Boolean Algebra
3.  POSET [ An ; /]  is
a) Bounded Lattics
b) Distributive Lattice
c) Complemented Lattice
d) Boolean Algebra

What I Know
If I get an proper set I could figer out each option . For Bounded Lattice There has to be a Lower Bound as well as Upper Bound
For Distributed Lattice any sub lattice to be isomorphic to standard L1 * and L2* graphs ( unique complement for each and  atmost one )
For Complemented Lattice every element has atleast one Complement ..

How to Solve general questions like this..?
Need in depth explanation for each option and each question.
Thanks.

As you told, the question can't be solved. We need to know about the set. Where is this taken from- any more information missing?

@ammu ..what is A , P(A) and An  ??

Sir , question is taken from my workbook
You should not use any workbook for GATE :(

You do not have Kenneth Rosen? Just google- you should get awesome PDF of it. You know why some people easily get to top 100 while others work like hell and still can't do? Because they follow workbooks which don't even care for spelling mistakes and grammar.