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 who like both Shopping and Adventure Sports 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 who like both Shopping and Adventure Sports is __________
- 4
- 1
- 3
- 2
Answer and explanation
Correct answer: D - 2
Exactly friends like both Shopping and Adventure Sports. A, B and E must take the three distinct two-activity sets, so exactly one of them likes that pair. C must like all three activities because C likes more than one and the pairs are already taken. Counting across the two-activity sets alone gives and misses C.
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IPMAT Indore
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