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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

In a class, 28 students study Hindi, 22 study English, and 10 study both. How many students study Hindi or English?If n(A) = 35, n(B) = 27, and n(A ∪ B) = 50, what is n(A ∩ B)?If n(A) = 20 and n(A \ B) = 13, what is n(A ∩ B)?If U = {1,2,3,4,5,6,7,8}, A = {1,3,5,7}, and B = {2,3,5,8}, what is A ∪ B?If U = {1,2,3,4,5,6,7,8,9}, A = {1,2,4,8}, and B = {2,4,6,8}, what is A \ B?If A ∩ B = ∅, what are A and B called?If A = {x ∈ Z : −2 ≤ x ≤ 3} and B = {x ∈ Z : 0 ≤ x ≤ 5}, what is A ∩ B?If A = {x ∈ N : x ≤ 10 and x is prime} and B = {x ∈ N : x ≤ 10 and x is odd}, what is A \ B?If A = {x : x is a multiple of 3, x ≤ 15} and B = {x : x is a multiple of 5, x ≤ 15}, what is A ∪ B?If A = {p, q, r, s}, B = {r, s, t}, and C = {s, t, u}, what is A ∩ (B ∪ C)?If A = {1, 2, 3, 4, 5}, B = {2, 4, 6}, and C = {1, 4, 7}, what is A \ (B ∪ C)?Which law is represented by A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)?If A = {1, 2}, B = {2, 3}, and C = {3, 4}, what is (A ∪ B) ∩ C?If A = {2, 3, 5, 7}, B = {1, 3, 5, 9}, and C = {3, 4, 5}, what is (A ∩ B) ∪ C?If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, what is (A \ B) ∪ (B \ A)?If A = {x : x ∈ N, x < 8} and B = {x : x ∈ N, 4 < x < 10}, what is A \ B?If A ∪ B = A, which relation is correct?If A ∩ B = A, which relation is correct?If A = {1, 2, 3, 4, 5, 6} and B = {2, 4, 6}, what are A \ B and B \ A, respectively?If A = {x : x ∈ ℤ, x² ≤ 4} and B = {-1, 0, 1, 3}, what is A ∩ B?