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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 = {x : x ∈ ℕ, 2 ≤ x ≤ 7} and B = {4, 6, 8}, what is A − B?If A = {0, 1, 2, 3, 4} and B = {2, 3, 4, 5, 6}, what is (A ∪ B) − (A ∩ B)?Which of the following set identities is always true?If A = {2, 3, 4, 5}, B = {1, 3, 5, 7}, and C = {0, 3, 6, 9}, what is A ∩ B ∩ C?If A = {1, 2, 3, 4, 5, 6}, B = {2, 3}, and C = {5, 6, 7}, what is A − (B ∪ C)?If A = {a, b, c, d}, B = {b, d, f}, and C = {d, e, f}, what is A ∩ (B ∪ C)?If A = {1, 3, 5, 7}, B = {3, 5, 9}, and C = {5, 7, 11}, what is (A ∩ B) ∪ C?If A = {2, 4, 6, 8} and B = {1, 2, 3, 4, 5}, how many elements are in A ∪ B?If A = {12, 24, 36, 48} and B = {24, 48, 60}, how many elements are in A ∩ B?If \(A=\{1,8,27,64\}\) and \(B=\{8,64,125\}\), what is \(A-B\)?If \(A=\{1,2,3,4,5\}\) and \(B=\{6,7,8\}\), what is \(A-B\)?If \(A=\{\text{pen},\text{book},\text{bag}\}\) and \(B=\{\text{book},\text{desk}\}\), what is \(A\cap B\)?If \(A=\{\text{rose},\text{lily}\}\) and \(B=\{\text{lily},\text{lotus},\text{jasmine}\}\), what is \(A\cup B\)?If \(A=\{\text{north},\text{south},\text{east},\text{west}\}\) and \(B=\{\text{east},\text{west}\}\), what is \(A-B\)?If \(A=\{2,4,6,8\}\) and \(B=\{4,8,12\}\), which element belongs to \(A\cap B\)?If \(A=\{3,6,9\}\) and \(B=\{9,12,15\}\), which element must belong to \(A\cup B\)?If \(A=\{1,2,5,10\}\) and \(B=\{2,4,6,10\}\), which element belongs to \(A-B\)?If \(U=\{1,2,3,4,5,6,7,8\}\), \(A=\{1,2,7\}\), and \(B=\{2,4,6\}\), what is \(A\cup B\)?If \(U=\{a,b,c,d,e,f\}\), \(A=\{a,c,e\}\), and \(B=\{b,c,e,f\}\), what is \(A\cap B\)?If U = {10, 20, 30, 40, 50}, A = {10, 20, 40}, and B = {20, 30}, what is A − B?