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Subjects

Mathematics

Operations on Sets (Union, Intersection, Difference)

समुच्चयों पर संक्रियाएँ (संघ, प्रतिच्छेद और अंतर)

In Class 11 Mathematics, the Sets chapter introduces Operations on Sets (Union, Intersection, Difference). Students learn to combine sets using union, identify common elements through intersection, and find elements belonging to one set but not another using difference. They also apply these operations to subset relations, Venn diagrams, and problems involving the number of elements in sets.

Practice questions

If \(A=\{0,1,2,3\}\) and \(B=\{2,3,4,5\}\), which statement about \(A-B\) and \(B-A\) is correct?If A = {1, 4, 9, 16} and B = {1, 2, 4, 8, 16}, which of the following is A ∩ B?If \(A=\{\text{red},\text{blue},\text{green}\}\) and \(B=\{\text{blue},\text{yellow}\}\), what is \(A\cup B\)?If \(A=\{\text{red},\text{blue},\text{green}\}\) and \(B=\{\text{blue},\text{yellow}\}\), what is \(A-B\)?If \(n(A)=5\), \(n(B)=4\), and \(n(A\cap B)=2\), what is \(n(A\cup B)\)?If n(A) = 8, n(B) = 6, and n(A ∪ B) = 10, what is n(A ∩ B)?If A = {1, 2, 3, 4, 5, 6} and B = {2, 4, 6}, how many elements are in A − B?If A = {2, 3, 4, 5} and B = {1, 3, 5, 7}, what is n(A ∩ B)?Which property is shown by \(A\cup B=B\cup A\)?Which property is shown by A ∩ B = B ∩ A?Which of the following is equal to A ∩ A?If \(A=\{1,2,3\}\), \(B=\{3,4\}\), and \(C=\{4,5\}\), what is \((A\cup B)\cap C\)?If \(A=\{1,2,3,4\},\; B=\{2,4,6\},\) and \(C=\{1,2,6\},\) what is \((A\cap B)\cup C\)?If \(A=\{2,4,6,8\}\), \(B=\{4,8\}\), and \(C=\{8,10\}\), what is \((A-B)\cup C\)?If \(A=\{1,2,3,4,5\}\), \(B=\{2,5\}\), and \(C=\{5,6\}\), what is \((A-B)\cap C\)?If \(A=\{1,2,3\}\) and \(B=\{2,3,4\}\), which element is in \(A\cup B\) but not in \(A\cap B\)?If \(A-B=\varnothing\), which conclusion is correct?If \(A=\{1,2,3,4,5\}\), \(B=\{2,4,6\}\), and \(C=A-B\), what is \(C\)?In a class, the set of students playing cricket is \(C=\{Amit,Ravi,Sita\}\) and the set playing football is \(F=\{Ravi,Neha\}\). Which student(s) play both games?In a library, Hindi books are \(H=\{h_1,h_2,h_3\}\) and English books are \(E=\{h_3,e_1,e_2\}\). Which set represents the books that belong to at least one category?