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Class 12 · Mathematics
→In a Venn diagram, n(A−B)=31, n(B−A)=37, n(A∩B)=24, and n((A∪B)ᶜ)=18. What is n(Aᶜ)?
Class 10 · Mathematics
→If n(U)=210, n(A∩B)=52, and n(Aᶜ∪Bᶜ)=170, what can be said about the given data?
Class 10 · Mathematics
→If n(A)=102, n(B)=95, n(A∪B)=143, and n(U)=190, what is n(Aᶜ∩Bᶜ)?
Class 10 · Mathematics
→If n(A ∪ B) = 128, n(A ∩ B) = 32, and n(A − B) = 45, what is n(B)?
Class 10 · Mathematics
→In a survey, n(A)=96, n(B)=88, n(C)=82, 69 people are in exactly two sets, and 21 are in all three sets. How many people are in exactly one set?
Class 10 · Mathematics
→If n(A∪B∪C)=156, 74 elements are in exactly one set, and 17 elements are in all three sets, how many elements are in exactly two sets?
Class 10 · Mathematics
→If, in three sets, 84 elements are in exactly one set, 63 elements are in exactly two sets, and 18 elements are in all three sets, what is n(A∪B∪C)?
Class 10 · Mathematics
→In three sets, n(A∪B∪C)=172. The numbers of elements only in A, only in B, only in C, only in A∩B, only in B∩C, and only in C∩A are 38, 34, 29, 21, 18, and 16, respectively. What is n(A∩B∩C)?
Class 10 · Mathematics
→In a survey, n(U) = 260, n(A) = 118, n(B) = 104, n(C) = 92, n(A ∩ B) = 48, n(B ∩ C) = 41, n(C ∩ A) = 37, and n(A ∩ B ∩ C) = 16. How many are in none of the sets?
Class 10 · Mathematics
→If n(A) = 64, n(B) = 59, n(A − B) = 22, and n(B − A) = 20, what is the correct conclusion about the data?
Class 10 · Mathematics
→If n(A) = 56, n(B) = 61, n(A − B) = 19, and n(B − A) = 24, what is n(A ∩ B)?
Class 10 · Mathematics
→If only n(A − B) = 42, n(B − C) = 35, and n(C − A) = 31 are given, which conclusion cannot always be assumed true?
Class 12 · Mathematics
→U = {1, 2, 3, ..., 120}; A is the set of numbers divisible by 3, B by 4, and C by 12. Which relation is correct?
Class 10 · Mathematics
→U = {1, 2, 3, ..., 90}, A is the set of numbers divisible by 2, B by 3, and C by 5. What is n(A ∩ B ∩ C)?
Class 10 · Mathematics
→In U = {1, 2, 3, ..., 70}, A is the set of prime numbers and B is the set of even numbers. What is A ∩ B?
Class 10 · Mathematics
→U = {1, 2, 3, ..., 72}, A = {x : x is divisible by 6}, and B = {x : x is divisible by 8}. What is n(A ∪ B)?
Class 10 · Mathematics
→U = {1, 2, 3, ..., 36}, A = {x : x is divisible by 2}, and B = {x : x is divisible by 3}. What is n(A ∩ B)?
Class 10 · Mathematics
→If n(U) = 240, n(A ∪ B) = 157, and n(Aᶜ ∩ Bᶜ) = 83, which relation is true?
Class 10 · Mathematics
→If n(A) = 88, n(B) = 82, and n(A △ B) = 104, what is n(A ∩ B)?
Class 10 · Mathematics
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