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A Prime Minister is contemplating the expansion of his cabinet. There are four ministerial berths and there are eight probable candidates (C1-C8) to choose from. The selection should be in a manner that each selected person shares a liking with at least one of the other three selected members. Also, the selected must also hate at least one of the likings of any of the other three persons selected.
I. C1 likes travelling and sightseeing, but hates river rafting.
II. C2 likes sightseeing and squash, but hates travelling.
III. C3 likes river rafting, but hates sightseeing.
IV. C4 likes trekking, but hates squash.
V. C5 likes squash, but hates sightseeing and trekking.
VI. C6 likes travelling, but hates sightseeing and trekking.
VII. C7 likes river rafting and trekking, but hates travelling.
VIII. C8 likes sightseeing and river rafting, but hates trekking.
Option A:- C1, C2, C5, C6
therefore according to the given conditions if C1 is selected and since he hates river rafting then at least one of the C2, C5, C6 must like river rafting but C2 likes sightseeing and squash, C5 likes squash and C6 likes travelling i.e. none of C2, C5, C6 likes river rafting, therefore conditions are not getting satisfied therefore option A cannot be the answer
Option B:-C3, C4, C5, C6
therefore according to the given conditions if C3 is selected and since he hates sightseeing then at least one of the C4, C5, C6 must like sightseeingbut C4 likes trekking, C5 likes squash and C6 likes travelling i.e. none of C4, C5, C6 likes sightseeing, therefore conditions are not getting satisfied therefore option B cannot be the answer
Option C:-C1, C2, C4, C7
Here C1 hates river rafting and C7 likes river rafting also C1 likes sightseeing and so does C2 therefore C1 can be on the team, C2 hates travelling and C1 likes travelling also C2 likes sightseeing and so does C1 therefore C2 can be on the team, C4 hates squash and C2 likes squash also C4 likes trekking and so does C7 therefore C4 can be on the team and finally C7 hates travelling and C1 likes travelling also C7 likes trekking and so does C4 therefore C7 can be on the team.
Since all the conditions are getting satisfied option 'C' is the answer.
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