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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 ∩ B = {3, 5}, A \ B = {1, 7}, and B \ A = {2, 9}, what is A?If A = {2, 3, 4, 5} and B = {4, 5, 6, 7}, which statement is false?If A = {2, 5, 8, 11} and B = {1, 5, 7, 11, 13}, what is A ∪ B?If A = {4, 6, 8, 10, 12} and B = {3, 6, 9, 12, 15}, what is A ∩ B?If A = {a, c, e, g, i} and B = {b, c, d, g, h}, what is A \ B?If A = {1, 4, 9, 16, 25} and B = {4, 16, 36}, what is B \ A?If A = {x ∈ N : x ≤ 9 and x is odd} and B = {x ∈ N : x < 8 and x is prime}, what is A ∩ B?If \(A=\{x:x\in\mathbb{N},x^2\le 49\}\) and \(B=\{2,4,6,8\}\), what is \(A\setminus B\)?If A = {1, 2, 3, 6}, B = {2, 3, 5, 6}, and C = {3, 6, 9}, what is A ∩ B ∩ C?If A = {r, s, t, u}, B = {s, u, v}, and C = {u, v, w}, what is A ∩ (B ∪ C)?If A = {1, 2, 3, 4, 5, 6}, B = {2, 5, 8}, and C = {1, 5, 6, 9}, what is A \ (B ∪ C)?If n(A) = 26, n(B) = 19, and n(A ∩ B) = 8, what is n(A ∪ B)?If n(A) = 31, n(B) = 28, and n(A ∪ B) = 46, what is n(A ∩ B)?If n(B) = 42 and n(B \ A) = 25, what is n(A ∩ B)?In a school, 36 students learn music, 29 learn painting, and 14 learn both. How many students learn at least one activity?In a class, 40 students study mathematics, 34 study science, and 18 study both. How many study only mathematics?In a survey, 52 people travel by bus, 47 by metro, and 23 by both. How many people travel only by metro?If n(A \ B) = 12, n(A ∩ B) = 7, and n(B \ A) = 16, what is n(A ∪ B)?If A ⊆ B, then what is (A ∪ B) ∩ A equal to?If B ⊆ A, what is B \ A?