Who are the four people selected by the Prime Minister?
Explanation:
If the liking of a person is denoted by √ and whatever a person hates is denoted by × then the data given can be represented in a tabular format as:
Now, each selected member should share a liking with at least one of the other three selected members and the selected member must also hate at least one of the likings of any of the other persons selected.
Consider option 1:
C1, C2, C5 and C6 cannot be the four people selected by the Prime Minister as C1 hates only River rafting which is not liked by any of the other three.
Consider option 2:
C3, C4, C5 and C6 cannot be the four people selected by the Prime Minister as none of them shares a liking with any other member, also C3 and C6 hate Sightseeing which is not liked by any of them.
Consider option 3:
C1, C2, C4 and C7 are the four people selected by the Prime Minister as all of them share at least one liking with at least one of the three selected members and all of them also hate at least one of the likings of at least one of the selected persons.
Hence, option (c).
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