Question

In a survey, 70% like Tea, 60% like Coffee, 50% like both. What percentage like only Tea?

• A. 10%
  
• B. 20%
  
• C. 30%
  
• D. 40%
  

Hint:

For “only” set questions, subtract the intersection from the total set percentage.

Answer 1

The Correct Option is B

- Step 1: Use Venn diagram. Tea = 70%, Coffee = 60%, Both = 50%.
- Step 2: Calculate only Tea. Only Tea = Tea - Both = $70 - 50 = 20%$.
- Step 3: Verify. Only Coffee = $60 - 50 = 10%$. At least one = $70 + 60 - 50 = 80%$. Neither = $100 - 80 = 20%$.
- Step 4: Compare with options. Options: (1) 10%, (2) 20%, (3) 30%, (4) 40%. Matches 20%.
- Step 5: Cross-check. Total Tea = $20 + 50 = 70%$, correct.
- Step 6: Conclusion. Option (2) is correct.