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 n(A) = 21, the number of elements only in A is 13, that is, n(A \ B) = 13, and n(B \ A) = 10, what is n(A ∪ B)?If n(A) = 14, n(B) = 10, and n(A ∩ B) = 3, what is n(A ∪ B)?If \(n(A)=19\), \(n(B)=13\), and \(n(A\cup B)=25\), what is \(n(A\cap B)\)?If \(n(A)=23\) and \(n(A\cap B)=9\), how many elements belong only to \(A\)?If n(B)=27 and n(A∩B)=11, how many elements are only in B?In a Venn diagram, which region represents A−B?In a Venn diagram, which region does B−A represent?If A = {1, 2, 3, 4, 5} and B = {3, 5, 7}, what is A ∩ B?If A = {2, 4, 6, 8} and B = {1, 2, 8, 9}, which elements belong only to A, that is, A − B?If A = {a, c, e} and B = {b, c, d, e}, which elements belong only to B, that is, B − A?If n(A − B) = 10 and n(A ∩ B) = 7, what is n(A)?If n(B − A) = 13 and n(A ∩ B) = 6, what is n(B)?In a class of 42 students, 24 like mathematics, 18 like science, and 7 like both subjects. How many students like at least one subject?If A ∩ B = ∅, n(A) = 15, and n(B) = 18, what is n(A ∪ B)?If A ⊆ B, n(A) = 9, and n(B) = 26, what is n(A ∪ B)?If A ⊆ B, n(A) = 12, and n(B) = 31, what is n(A ∩ B)?If n(A) = 8, n(B) = 7, n(C) = 6, n(A ∩ B) = 2, n(A ∩ C) = 1, n(B ∩ C) = 3, and n(A ∩ B ∩ C) = 1, what is n(A ∪ B ∪ C)?If n(A)=20, n(B)=24 and only A has 13 elements, that is, n(A\B)=13, what is n(A∩B)?If n(A)=28, n(B)=30 and only B has 21 elements, meaning 21 elements are not in A, what is n(A∩B)?If A=B, then in a Venn diagram, A∩B is equal to what?