If A = {1, 2, 3, 4, 5, 6} and B = {2, 3, 5}, what is true about the three-element subset of B?
Answer and explanation
Correct answer: It is B itself and also a subset of A.
Set B has exactly three elements: 2, 3, and 5. A subset with three elements must therefore contain all elements of B, so the only such subset is B itself, namely {2, 3, 5}. Since every element of B is also an element of A, B is a subset of A; in fact, it is a proper subset because A contains additional elements 1, 4, and 6.
Frequently asked questions
What is the correct answer to this question?
It is B itself and also a subset of A.
Why is this the correct answer?
Set B has exactly three elements: 2, 3, and 5. A subset with three elements must therefore contain all elements of B, so the only such subset is B itself, namely {2, 3, 5}. Since every element of B is also an element of A, B is a subset of A; in fact, it is a proper subset because A contains additional elements 1, 4, and 6.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
