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, then in a Venn diagram, what is A∪B equal to?In a Venn diagram of two sets A and B, what does the region A−B represent?If n(A) = 32, n(A ∪ B) = 48, and n(A ∩ B) = 10, what is n(B)?If only the A region is shaded, how is it written in set notation?If only the B region is shaded, how can it be represented in set notation?If n(A) = 31, n(B) = 22, and n(A ∩ B) = 9, what is n(A ∪ B)?If \(n(A)=28\), \(n(B)=19\), and \(n(A\cup B)=39\), what is \(n(A\cap B)\)?If \(n(A)=35\) and \(n(A\cap B)=12\), how many elements are only in \(A\)?If \(n(B)=41\) and \(n(A\cap B)=17\), how many elements are only in \(B\)?If \(n(A-B)=16\) and \(n(A\cap B)=11\), what is \(n(A)\)?If \(n(B-A)=21\) and \(n(A\cap B)=13\), what is \(n(B)\)?If A={2,3,5,7,11} and B={1,3,5,9}, what is A∩B?If A={4,6,8,10} and B={6,10,12}, which elements are only in A, that is, in A but not in B?If A={p,q,r} and B={q,r,s,t}, what is the set of elements that belong only to B?If A={1,2,3,4} and B={3,4,5,6}, what is A∪B?In a survey of 90 people, 46 listen to radio, 38 listen to podcasts, and 16 listen to both. How many listen to neither?A club has 74 members. Of these, 29 are in singing, 33 are in painting, and 12 are in both activities. How many members are only in painting?If \(A\cap B=\varnothing\), \(n(A)=24\), and \(n(B)=37\), what is \(n(A\cup B)\)?If \(A\subseteq B\), \(n(A)=18\), and \(n(B)=46\), what is \(n(A\cup B)\)?If \(A\subseteq B\), \(n(A)=15\), and \(n(B)=52\), what is \(n(A\cap B)\)?