Question 34

Study the information given below and answer the questions.

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.


Who are the four people selected by the Prime Minister?

Option A:-Β C1, C2, C5, C6

therefore according to the given conditions if C1 is selected and since heΒ hates river rafting then at least one of theΒ C2, C5, C6 must like river rafting butΒ C2 likes sightseeing and squash,Β C5 likes squash andΒ C6 likes travelling i.e. none ofΒ 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 andΒ since he hates sightseeingΒ then at least one of theΒ C4, C5, C6Β must likeΒ sightseeingbutΒ C4 likes trekking,Β C5 likes squash andΒ C6 likes travellingΒ i.e. none ofΒ C4, C5, C6 likes sightseeing, therefore conditions are not getting satisfied therefore option B cannot be the answer

OptionΒ C:-C1, C2, C4, C7Β 

Here C1 hates river rafting andΒ C7 likes river rafting alsoΒ C1 likes sightseeing and so does C2 therefore C1 can be on the team, C2Β hates travelling andΒ C1 likes travelling alsoΒ C2 likes sightseeing and so does C1 therefore C2 can be on the team, C4 hates squash and C2 likes squash alsoΒ C4 likes trekking and so does C7Β therefore C4 can be on the team and finally C7 hates travelling andΒ C1 likes travelling also C7Β likes trekking and so does C4Β therefore C7 can be on the team.

Since all the conditions are getting satisfied option 'C' is the answer.Β 

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