Five friends A, B, C, D, and E go on a trip together. Each of them likes at least one of the following three activities: Countryside Sightseeing, Shopping, and Adventure Sports such that: - No two…
Question and options
Five friends A, B, C, D, and E go on a trip together. Each of them likes at least one of the following three activities: Countryside Sightseeing, Shopping, and Adventure Sports such that:
- No two friends like exactly the same set of activities.
- A, B and E like exactly two activities each.
- D likes only Countryside Sightseeing.
- C likes more number of activities compared to D.
The number of friends that like Countryside Sightseeing is __________
- No two friends like exactly the same set of activities.
- A, B and E like exactly two activities each.
- D likes only Countryside Sightseeing.
- C likes more number of activities compared to D.
The number of friends that like Countryside Sightseeing is __________
- 1
- 2
- 4
- 3
Answer and explanation
Correct answer: C - 4
There are friends who like Countryside Sightseeing. Two of the three distinct two-activity sets taken by A, B and E contain it, and D likes it on its own. C must like all three activities because the pairs are already taken, so omitting C gives .
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IPMAT Indore
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