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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 = {2, 4, 6, 8} and B = {1, 2, 3, 4}, find A ∩ B.If A = {a, b, c, d} and B = {b, d, e}, what is A − B?If P = {x : x ∈ N, x < 5} and Q = {2, 4, 6}, which set is P ∪ Q?If A = {5, 10, 15} and B = {20, 25}, what is A ∩ B?If \(A=\{1,2\}\), \(B=\{2,3\}\), and \(C=\{3,4\}\), what is \(A\cup B\cup C\)?If \(A=\{2,3,5,7\}\), \(B=\{1,3,5,9\}\), and \(C=\{3,5,11\}\), what is \(A\cap B\cap C\)?If \(A=\{1,2,3,4,5\}\) and \(B=\{2,4\}\), what is \(B\setminus A\)?If \(U=\{1,2,3,4,5,6\}\), \(A=\{1,2,3\}\), and \(B=\{3,4\}\), what is \(A\cup B\)?If \(A=\{2,4,6,8,10\}\) and \(B=\{4,8,12\}\), which set is \(A\setminus B\)?If \(A=\{1,2,3\}\), what is \(A\cup\varnothing\)?If \(A=\{4,5,6\}\), what is \(A\cap\varnothing\)?If \(A=\{p,q,r\}\), what is \(A\setminus A\)?If \(A=\{1,2,3,4\}\) and \(B=\{3,4,5,6\}\), what is \((A\cup B)-(A\cap B)\)?If \(A=\{x:x\text{ is a vowel in English}\}\) and \(B=\{a,e,i\}\), then, using \(B\subseteq A\), what is \(A\cup B\)?If \(A=\{x:x\in\mathbb{N},x\le 6\}\) and \(B=\{x:x\in\mathbb{N},x\text{ is even},x\le 8\}\), what is \(A\cap B\)?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 \(n(A\cup B)\)?