Question

In a survey, 80% like Product X, 70% like Product Y, 60% like both. What percentage like neither?

• A. 10%
  
• B. 15%
  
• C. 20%
  
• D. 25%
  

Hint:

For “neither” questions, subtract the union from 100%.

Answer 1

The Correct Option is A

- Step 1: Use inclusion-exclusion. At least one = $80 + 70 - 60 = 90%$.
- Step 2: Calculate neither. Neither = $100 - 90 = 10%$.
- Step 3: Verify. Only X = $80 - 60 = 20%$, Only Y = $70 - 60 = 10%$, Both = 60%. Total = $20 + 10 + 60 = 90%$. Neither = $100 - 90 = 10%$.
- Step 4: Compare with options. Options: (1) 10%, (2) 15%, (3) 20%, (4) 25%. Matches 10%.
- Step 5: Conclusion. Option (1) is correct.