In a group, 30 students like tea, 25 like coffee, and 12 like both. How many students like only tea?
Answer and explanation
Correct answer: 18
The number who like only tea is obtained by removing those who like both tea and coffee from the total tea group. Thus, only tea = n(T) − n(T ∩ C) = 30 − 12 = 18. The value 13 represents only coffee, 43 represents the union of the two groups, and 55 incorrectly adds the totals without correcting for the overlap.
Frequently asked questions
What is the correct answer to this question?
18
Why is this the correct answer?
The number who like only tea is obtained by removing those who like both tea and coffee from the total tea group. Thus, only tea = n(T) − n(T ∩ C) = 30 − 12 = 18. The value 13 represents only coffee, 43 represents the union of the two groups, and 55 incorrectly adds the totals without correcting for the overlap.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
