CAT 1993 — QA Question 35
Venn DiagramEasy
Out of 100 families in the neighbourhood, 45 own radios, 75 have TVs, 25 have VCRs. Only 10 families have all three and each VCR owner also has a TV. If 25 families have radio only, how many have only TV?
Answer & solution
Correct answer: 40
- A
30
- B
35
40
- D
45
Solution
Since each VCR owner also has a TV, therefore, 15 families own both TV and VCR but not Radio.
Since 25 families have radio only, therefore, 10 families own both TV and Radio but not VCR.
Hence, number of families having only TV = 75 – 10 – 10 – 15 = 40.
Hence, option (c).