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In a survey of 200 college students about their language preferences: - 130 students like Hindi - 90 students like English - 70 students like Tamil - 40 students like both Hindi and English - 25 students like both Hindi and Tamil - 20 students like both English and Tamil - 15 students like all three languages - The rest dislike all three languages. How many students like exactly two of the three languages?
A60
B(40-15) + (25-15) + (20-15) = 25 + 10 + 5 = 40
C30
D40
Answer & Solution
Correct answer: B. (40-15) + (25-15) + (20-15) = 25 + 10 + 5 = 40
Exactly two: subtract triple from each pairwise: (40-15) for H∩E only = 25; (25-15) for H∩T only = 10; (20-15) for E∩T only = 5. Sum = 40.
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