Question

In a survey, 70% of 100 people like Product X, and 60% like Product Y. If 50% like both, how many like only Product X?

• A. 10
• B. 20
• C. 30
• D. 40

Hint:

Use Venn diagram logic or subtract overlapping elements to find “only” categories.

Answer 1

The Correct Option is B

- Step 1: Like X = $0.7 \times 100 = 70$, Like Y = $0.6 \times 100 = 60$, Like both = $0.5 \times 100 = 50$.
- Step 2: Only X = Like X - Like both = $70 - 50 = 20$.
- Step 3: Verify: Only Y = $60 - 50 = 10$. Total = Only X + Only Y + Both = $20 + 10 + 50 = 80$. Adjust for total 100 later if needed.
- Step 4: Check options: Option (2) is 20.
- Step 5: Confirm using Venn: X only = 20, correct.
- Step 6: Option (2) is correct.