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Class 10 · Mathematics
→In three sets, only A = 27, only A ∩ B = 10, only C ∩ A = 12, and A ∩ B ∩ C = 8. What is n(A)?
Class 10 · Mathematics
→If only A = 18, only B = 22, only C = 19, only A ∩ B = 9, only B ∩ C = 8, only C ∩ A = 7, and A ∩ B ∩ C = 6, what is n(A ∪ B ∪ C)?
Class 10 · Mathematics
→In three sets, n(A ∩ B ∩ C) = 14. Which region of the Venn diagram does this represent?
Class 10 · Mathematics
→If n(U) = 125, n(A) = 62, n(B) = 55, and n((A ∪ B)ᶜ) = 24, what is n(A ∩ B)?
Class 10 · Mathematics
→If n(A ∪ B) = 104, n(A − B) = 46, and n(A ∩ B) = 25, what is n(B − A)?
Class 10 · Mathematics
→If n(A ∪ B) = 88, n(A − B) = 31, and n(B − A) = 29, what is n(A ∩ B)?
Class 10 · Mathematics
→If n(A − B) = 41 and n(A ∩ B) = 22, what is n(A)?
Class 10 · Mathematics
→If n(A) = 49, n(B) = 52, and A ∩ B = ∅, how many elements belong to exactly one of the two sets?
Class 10 · Mathematics
→In a group, 52 people like apples, 47 like bananas, and 19 like both. How many people like only apples?
Class 10 · Mathematics
→Among 90 students, 43 like Chemistry, 39 like Biology, and 18 like both subjects. How many like neither subject?
Class 10 · Mathematics
→In a class, 63 students learn dance, 58 learn music, and 26 learn both. How many students learn at least one art?
Class 10 · Mathematics
→For two sets A and B, n(A)=54, n(B)=61, and 73 elements belong to exactly one of the sets. What is n(A∩B)?
Class 10 · Mathematics
→If n(A△B)=78 and n(A−B)=34, what is n(B−A)?
Class 10 · Mathematics
→If n(U)=160 and n(A∪B∪C)=127, how many elements belong to none of the three sets?
Class 10 · Mathematics
→If n(A∩B)=29 and n(A∩B∩C)=12, how many elements are only in A and B but not in C?
Class 10 · Mathematics
→If n(A)=63, n(A∩B)=26, n(A∩C)=24, and n(A∩B∩C)=9, how many elements are only in A?
Class 10 · Mathematics
→For three sets A, B, C, n(A∩B)=21, n(B∩C)=19, n(C∩A)=16, and n(A∩B∩C)=7. How many elements belong to exactly two of the sets?
Class 10 · Mathematics
→For three sets, n(A)=42, n(B)=39, n(C)=35, n(A∩B)=15, n(B∩C)=13, n(C∩A)=11, and n(A∩B∩C)=5. What is n(A∪B∪C)?
Class 10 · Mathematics
→The universal set is U={m,n,o,p,q,r,s,t} and A={m,o,q,s}. What is Aᶜ?
Class 10 · Mathematics
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