If \(A=\{2,4,6,8\}\) and \(B=\{4,8,12\}\), which element belongs to \(A\cap B\)?
Answer and explanation
Correct answer: 4
An element belongs to \(A\cap B\) only when it is present in both \(A\) and \(B\). The number 4 appears in both sets, and 8 also appears in both, although 8 is not offered as an option. The number 2 and 6 occur only in \(A\), while 12 occurs only in \(B\). Therefore, among the given choices, 4 is the correct answer.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
An element belongs to \(A\cap B\) only when it is present in both \(A\) and \(B\). The number 4 appears in both sets, and 8 also appears in both, although 8 is not offered as an option. The number 2 and 6 occur only in \(A\), while 12 occurs only in \(B\). Therefore, among the given choices, 4 is the correct answer.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
