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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 10 · Mathematics
→In a class, n(A) = 74, n(B) = 68, and 86 students are in exactly one set. What is n(A ∩ B)?
Class 10 · Mathematics
→If n(A ∪ B) = 126, n(A − B) = 47, and n(B − A) = 39, what is n(A ∩ B)?
Class 10 · Mathematics
→In a Venn diagram, n(U) = 180, n(A) = 92, n(B) = 84, and n((A ∪ B)ᶜ) = 38. What is 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
→In a sports survey, 80 people like cricket, 64 like football, and 29 like both. How many like exactly one sport?
Class 10 · Mathematics
→If A ⊆ B ⊆ C, n(C) = 95, n(B) = 61, and n(A) = 28, what is n(C − B)?
Class 10 · Mathematics
→In a Venn diagram, which set represents all elements that belong to A but not to 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 10 · Mathematics
→In three sets, only A = 19, only B = 23, only C = 17, only A ∩ B = 8, only B ∩ C = 10, only C ∩ A = 6, and A ∩ B ∩ C = 5. What is n(B ∪ C)?
Class 10 · Mathematics
→If n(A ∪ B) = 96, n(A) = 58, and n(A − B) = 29, what is n(B − A)?
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 a survey, n(U) = 150, n(A) = 70, n(B) = 62, and n((A ∪ B)ᶜ) = 32. What is n(A ∩ B)?
Class 10 · Mathematics
→In a Venn diagram, n(A ∩ B) = 0 and n(A ∪ B) = 92. If n(A) = 40, what is n(B)?
Class 10 · Mathematics
→If n(A ∪ B) = 73, n(A − B) = 28, and n(B − A) = 32, which statement is correct?
Class 10 · Mathematics
→If n(Aᶜ) = 58 and n(U) = 132, what is n(A)?
Class 10 · Mathematics
→If n(A) = 48, n(B) = 43, n(C) = 41, n(A ∪ B ∪ C) = 99, n(A ∩ B) = 17, n(B ∩ C) = 14, and n(C ∩ A) = 13, what is n(A ∩ B ∩ C)?
Class 10 · Mathematics
→Given n(U) = 180, n(A) = 76, n(B) = 69, n(C) = 62, n(A ∩ B) = 30, n(B ∩ C) = 27, n(C ∩ A) = 24, and n(A ∩ B ∩ C) = 10, how many elements belong to none of the sets?
Class 10 · Mathematics
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