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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 = {2, 4, 6, 8, 10} and B = {1, 2, 3, 4, 5}, how many elements are in A ∪ B?If A = {10, 20, 30, 40} and B = {20, 40, 60}, how many elements are in A ∩ B?If A = {x : x is a vowel in the English alphabet} and B = {a, e, i}, what is A − B?If A = {2, 4, 6} and B = {6, 8, 10}, which element must belong to A ∪ B?If A = {1, 2, 3, 4} and B = {2, 4, 6, 8}, which element is in A − B?If A = {red, blue} and B = {blue, green}, what is A ∩ B?If A = {cat, dog, cow} and B = {dog, goat}, what is A ∪ B?If A = {1, 2, 3} and B = {4, 5}, what is A ∪ B?If A = {2, 3, 4, 5} and B = {4, 5, 6, 7}, what is (A − B) ∪ (B − A)?If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, what is (A ∪ B) − A?If A = {a, b, c} and B = {c, d, e}, what is (A ∪ B) − B?If A = {1, 2, 3, 4, 5} and B = {2, 4, 6}, what is A ∩ (A − B)?If A = {1, 2, 3} and B = {2, 3, 4}, what is A ∩ (A ∪ B)?If A = {2, 4} and B = {4, 6, 8}, what is A ∪ (A ∩ B)?If A = {1, 2, 3, 4, 5, 6}, B = {2, 4, 6}, and C = {1, 2, 3}, what is B − C?In a class, 18 students play cricket, 12 play football, and 5 play both. How many students play at least one game?In a group, 20 students like Mathematics, 15 like Science, and 8 like both. How many like only Mathematics?If U = {a, b, c, d, e}, A = {a, b, d}, and B = {b, c}, what is A − B?If A = {1, 2, 3, 4, 5}, B = {3, 4, 5, 6}, and C = {5, 6, 7}, what is A ∩ (B − C)?If A = {2, 5, 8, 11} and B = {1, 5, 9, 11}, what is (A ∪ B) − (A ∩ B)?