Sets-Relations-And-Functions Question 118
Question: In a survey of 300 people in a city, 120 were found to be regular coffee drinkers, 150 were found to be regular tea drinkers, and 50 people were found to be regular drinkers of both coffee and tea. Determine which statements are true:
I. At least 220 people were consuming at least one type of beverage (coffee or tea).
II. Exactly 70 people were consuming neither coffee nor tea.
Options:
A) Only I is true
B) Only II is true
C) Both I and II are true
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
- [a] Given:
Total surveyed = 300
Coffee drinkers (C) = 120
Tea drinkers (T) = 150
Both coffee and tea drinkers = 50
At least 220 people consume at least one type of beverage (coffee or tea).
120+150-50=220
Statement I is true.
Exactly 70 people consume neither coffee nor tea.
300-220=80
Statement II is false.
Therefore, the correct answer is:
A) Only I is true
BETA
