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Class 10 · Mathematics
→If n(A) = 90, n(B) = 85, n(A ∪ B) = 125, and n(U) = 160, what is n(Aᶜ ∩ Bᶜ)?
Class 10 · Mathematics
→If n(A ∪ B ∪ C) = 128, 63 elements are in exactly one set, and 11 are in all three sets, how many elements are in exactly two sets?
Class 10 · Mathematics
→In a survey, n(U) = 200, n(A) = 96, n(B) = 88, n(C) = 74, n(A ∩ B) = 40, n(B ∩ C) = 31, n(C ∩ A) = 29, and n(A ∩ B ∩ C) = 12. How many people are in none of the sets?
Class 10 · Mathematics
→Let \(U\) be a universal set with \(n(U)=200\). If \(n(A\cup B)=128\), \(n(A\cap B)=36\), and \(n(A^c\cap B^c)=72\), which relation is true?
Class 12 · Mathematics
→If n(A) = 73, n(B) = 69, and n(A △ B) = 88, what is n(A ∩ B)?
Class 10 · Mathematics
→If only A=18, only A∩B=12, only A∩C=10, and A∩B∩C=6, what is n(A)?
Class 10 · Mathematics
→In three sets, n(A∩B)=31, n(B∩C)=29, n(C∩A)=25, and n(A∩B∩C)=12. How many elements are in exactly two sets?
Class 10 · Mathematics
→If n(U) = 120, n(A) = 77, and n(B) = 64, what is the minimum possible value of n(A ∩ B)?
Class 12 · Mathematics
→If n(U) = 90, n(A) = 58, and n(B) = 45, what is the minimum possible value of n(A ∩ B)?
Class 12 · Mathematics
→If n(U) = 100, n(A) = 52, and n(B) = 47, what is the minimum possible value of n(A ∩ B)?
Class 10 · Mathematics
→If n(A) = 46, n(B) = 40, n(C) = 37, n(A ∩ B) = 14, n(B ∩ C) = 12, n(C ∩ A) = 11, and n(A ∪ B ∪ C) = 91, what is n(A ∩ B ∩ C)?
Class 12 · Mathematics
→In a Venn diagram, 24 elements are only in A, 31 are only in B, and 16 are in both A and B. What is n(A ∪ B)?
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 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(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
→In a two-set Venn diagram, n(A − B) = 26, n(A ∩ B) = 18, n(B − A) = 33, and 12 elements are outside both sets. What is n(U)?
Class 10 · Mathematics
→If n(A)=40, n(B)=36, n(C)=34, n(A∪B∪C)=82, n(A∩B)=12, n(B∩C)=10, and n(C∩A)=9, what is n(A∩B∩C)?
Class 10 · Mathematics
→For three sets, n(A)=35, n(B)=32, n(C)=29, n(A∩B)=12, n(B∩C)=10, n(C∩A)=9, and n(A∩B∩C)=4. What is n(A∪B∪C)?
Class 10 · Mathematics
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