If \(A=\{1,8,27,64\}\) and \(B=\{8,64,125\}\), what is \(A-B\)?
Answer and explanation
Correct answer: \(\{1,27\}\)
The set difference \(A-B\) contains every element that belongs to \(A\) but does not belong to \(B\). In \(A\), the elements 8 and 64 are also present in \(B\), so they are removed. The elements 1 and 27 are not in \(B\), so they remain. Therefore, \(A-B=\{1,27\}\). Option B is the intersection, option C contains an element only from \(B\), and option D is the union.
Frequently asked questions
What is the correct answer to this question?
\(\{1,27\}\)
Why is this the correct answer?
The set difference \(A-B\) contains every element that belongs to \(A\) but does not belong to \(B\). In \(A\), the elements 8 and 64 are also present in \(B\), so they are removed. The elements 1 and 27 are not in \(B\), so they remain. Therefore, \(A-B=\{1,27\}\). Option B is the intersection, option C contains an element only from \(B\), and option D is the union.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
