In a class containing 200 students, n students prefer <strong>BOTH</strong> tea and coffee; 2n students prefer coffee, 3n students prefer tea; 4n students prefer neither tea nor coffee. What is the value of n?
- A. 20
- B. 25 ✓
- C. 30
- D. 35
Correct Answer: B. 25
Explanation
Using set theory: n(T \cup C) = n(T) + n(C) - n(T \cap C) = 3n + 2n - n = 4n. The total students equals n(T \cup C) + \text{Neither} = 4n + 4n = 8n. Thus, 8n = 200 \implies n = 25.
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