In a survey of 150 people, 88 are in tea set T, 76 are in coffee set C, and 39 are in both. How many drink only tea?
Answer and explanation
Correct answer: 49
The people counted in T include both those who drink only tea and those who drink both tea and coffee. Therefore, the number who drink only tea is |T \ C| = |T| − |T ∩ C| = 88 − 39 = 49. The total number surveyed and the coffee-only count are not needed for this particular question. Hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
49
Why is this the correct answer?
The people counted in T include both those who drink only tea and those who drink both tea and coffee. Therefore, the number who drink only tea is |T \ C| = |T| − |T ∩ C| = 88 − 39 = 49. The total number surveyed and the coffee-only count are not needed for this particular question. Hence option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
