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 ∩ B = ∅, n(A) = 15, and n(B) = 18, what is n(A ∪ B)?If A = {2, 4, 6} and B = {1, 3, 5, 7}, which statement is correct?Which law is represented by A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)?If A ∩ B = B, which of the following relations is true?If A = {1, 3, 5, 7} and B = {3, 7, 9}, what is (A ∪ B) \ (A ∩ B)?If A = {2, 3, 5, 7, 11} and B = {1, 3, 5, 9, 11}, what is (A \ B) ∪ (B \ A)?If A = {2,4,6,8,10}, B = {4,8,12}, and C = {2,8,14}, what is (A ∩ B) ∪ C?If A = {1,2,4,6,8}, B = {2,3,6,9}, and C = {6,8,10}, what is (A ∪ B) ∩ C?If A = {x ∈ N : x is a factor of 24} and B = {x ∈ N : x is a factor of 36}, what is A ∩ B?If A = {x ∈ N : 3 divides x, x ≤ 21} and B = {x ∈ N : 7 divides x, x ≤ 21}, what is A ∪ B?If U = {1,2,3,4,5,6,7,8,9,10}, A = {1,2,5,10}, and B = {2,4,6,8,10}, what is A ∪ B?Let U = {a,b,c,d,e,f,g}, A = {a,c,e,g}, and B = {b,c,e,f}. What is A ∩ B?If A = {1,2,3,4} and B = {3,4,5,6}, what is A ∩ (B \ A)?If A = {m,n,p,q} and B = {n,q,r,s}, what is A ∪ (B \ A)?If A = {1,2,3,4,5} and B = {2,4}, what is (A \ B) ∪ B?If A = {2,3,4,5,6} and B = {4,6,8}, which element is in A ∪ B but not in A ∩ B?If \(A=\{1,3,6,9\}\) and \(B=\{3,6,12\}\), which element belongs to \(A\setminus B\)?If \(A=\{2,5,10\}\) and \(B=\{5,10,15\}\), which of the following sets is a subset of \(A\cap B\)?If \(A=\{0,2,4,6\}\) and \(B=\{1,2,3,4\}\), which statement is false?If \(A=\{x:x\in\mathbb{N},\ x\le 15,\ x\text{ is composite}\}\) and \(B=\{4,6,8,10,12,14\}\), what is \(B\setminus A\)?