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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 = {1, 2, 3, 4} and B = {2, 4, 6}, what is A ∩ (A − B)?If A = {5, 6, 7} and B = {6, 7, 8, 9}, what is A ∩ (A ∪ B)?If A = {p, q, r} and B = {q, r, s}, what is A ∪ (A ∩ B)?In a class, 22 students like drawing, 16 like music, and 6 like both. How many students like at least one activity?In a group, 30 students like tea, 25 like coffee, and 12 like both. How many students like only tea?If A = {x : x ∈ N and x is a factor of 12} and B = {1, 2, 3, 5}, what is A ∩ B?If A = {x : x ∈ N and x is a factor of 18} and B = {2, 3, 6, 9}, what is A − B?If A = {1, 2, 3, 4, 5, 6}, B = {2, 3, 5}, and C = {3, 4, 6}, what is (A − B) ∩ C?If A = {1, 2, 4, 6}, B = {2, 3, 6, 8}, and C = {2, 6, 9}, what is (A ∪ B) ∩ C?If A = {1, 2, 3, 4, 5, 6}, B = {2, 4, 6, 8}, and C = {1, 4, 6}, what is A − (B ∩ C)?In a library, 35 students read storybooks, 20 students read poetry books, and 45 students read at least one type of book. How many students read both types of books?If A = {3, 6, 9, 12} and B = {6, 12, 18, 24}, what is (A − B) ∩ (B − A)?If A = {1, 2, 3, 5} and B = {2, 4, 5, 6}, what is A ∪ B?If A = {3, 6, 9, 12} and B = {6, 12, 18}, find A ∩ B.If A = {1, 4, 7, 10} and B = {4, 10, 13}, what is A \ B?If A = {2, 5, 8, 11} and B = {1, 5, 8, 14}, which is B \ A?If A = {a, b, c, d} and B = {c, d, e, f}, what is (A ∪ B) \ (A ∩ B)?If A = {1, 2, 3}, what is A ∪ ∅?If A = {4, 5, 6}, what is A ∩ ∅?If n(A) = 18, n(B) = 12, and n(A ∩ B) = 5, what is n(A ∪ B)?