If \(A=\{\text{pen},\text{book},\text{bag}\}\) and \(B=\{\text{book},\text{desk}\}\), what is \(A\cap B\)?
Answer and explanation
Correct answer: \(\{\text{book}\}\)
The intersection \(A\cap B\) consists only of elements that occur in both sets. The word “book” appears in \(A\) and also in \(B\), while “pen” and “bag” occur only in \(A\), and “desk” occurs only in \(B\). Therefore, \(A\cap B=\{\text{book}\}\). Option D represents the union, not the intersection.
Frequently asked questions
What is the correct answer to this question?
\(\{\text{book}\}\)
Why is this the correct answer?
The intersection \(A\cap B\) consists only of elements that occur in both sets. The word “book” appears in \(A\) and also in \(B\), while “pen” and “bag” occur only in \(A\), and “desk” occurs only in \(B\). Therefore, \(A\cap B=\{\text{book}\}\). Option D represents the union, not the intersection.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
