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The head of a newly formed government desires to appoint four of five selected members A,B,C,D and E to portfolios of Home, Power, Defense, and Finance. E does not want any portfolio if C gets one of the four. B wants either Home or Finance or no portfolio. A says that if C gets either Power or Defense, then she must get the other one, D insists on a portfolio if A gets one. 

The head of a newly formed government desires to appoint four of five selected members A,B,C,D and E to portfolios of Home, Power, Defense, and Finance. E does not want any portfolio if C gets one of the four. B wants either Home or Finance or no portfolio. A says that if C gets either Power or Defense, then she must get the other one, D insists on a portfolio if A gets one.  Correct Answer C-Home, A-Defense, D-Power, E-Finance

Explanation:

Let us check the options one by one

Option (1) is not correct as B is given Defense.

As given in question B wants only Finance or Home.

Option (4) is not correct as B is allocated Power.

(same reason as above).

Option (3) is not possible because E and C cannot be together as per the question.

So the only option (2) is possible. 

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