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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, 3, 5, 7, 9} and B = {3, 6, 9}, which element belongs to A ∪ B but does not belong to A ∩ B?If A = {2, 4, 6, 8} and B = {1, 2, 3, 4}, which statement about A ∩ B ⊆ A ∪ B is correct?If A = {1, 2, 3, 4}, B = {2, 4, 6, 8}, and C = {4, 8, 12}, what is A ∩ B ∩ C?If A = {m, n, o} and B = {n, o, p, q}, what is (A ∪ B) \ A?If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7}, what is (A ∪ B) \ B equal to?If n(A \ B) = 9, n(A ∩ B) = 6, and n(B \ A) = 11, what is n(A ∪ B)?In a survey, 45 people like tea, 38 like coffee, and 20 like both. How many people like only tea?In a group, 32 students play cricket, 24 play football, and 12 play both. How many students play only football?If n(A ∪ B) = 70, n(A) = 46, n(B) = 35, and n(B \ A) = 24, what is n(A ∩ B)?If n(A) = 46, n(B) = 35, and n(B \ A) = 24, what is n(A ∩ B)?If A = {0, 1, 2, 3} and B = {2, 3, 4, 5}, which of the following is a subset of A ∩ B?If A = {1, 2, 3, 4, 5, 6}, B = {2, 3, 5, 7}, and C = {3, 5, 8}, what is A ∩ (B \ C)?If A = {a, b, c, e}, B = {b, d, e}, and C = {e, f}, what is (A ∪ B) ∩ (B ∪ C)?If A = {1, 2, 4, 8}, B = {2, 4, 6, 8}, and C = {4, 8, 10}, what is (A ∩ B) \ C?If A = {x : x ∈ N, 1 ≤ x ≤ 12}, B = {2, 4, 6, 8, 10, 12}, and C = {3, 6, 9, 12}, what is A \ (B ∪ C)?If A = {x : x ∈ N, 2 divides x, x ≤ 16} and B = {x : x ∈ N, 4 divides x, x ≤ 16}, what is A \ B?If A ∪ B = A and A ∩ B = B, which relation is correct?If n(A \ B) = 18, n(B \ A) = 14, and n(A ∩ B) = 9, what is n(A ∪ B)?If A = {1, 2, 3, 4, 5, 6, 7}, B = {2, 4, 6, 8}, and C = {1, 4, 7, 10}, what is (A \ B) ∩ C?If A = {x ∈ Z : −3 ≤ x ≤ 2} and B = {x ∈ Z : x² ≤ 4}, what is A ∪ B?