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Class 10 · Mathematics · Hard
→For three sets A, B, and C, n(A) = 84, n(B) = 78, and n(C) = 72. There are 96 elements in exactly one set and 12 elements in all three sets. How many elements are in exactly two sets?
Class 12 · Mathematics · Medium
→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 · Medium
→If n(A ∪ B) = 128, n(A ∩ B) = 32, and n(A − B) = 45, what is n(B)?
Class 12 · Mathematics · Easy
→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 · Medium
→If only A = 25, only A ∩ B = 14, only A ∩ C = 12, and A ∩ B ∩ C = 9, what is n(A)?
Class 12 · Mathematics · Medium
→If n(U) = 190, n(A) = 74, and n(B) = 91, what is the maximum possible value of n(A ∩ B)?
Class 12 · Mathematics · Hard
→If n(U) = 160, n(A) = 92, and n(B) = 83, what is the minimum possible value of n(A ∩ B)?
Class 12 · Mathematics · Medium
→If n(A ∪ B) = 148, n(A − B) = 52, and n(B − A) = 43, what is n(A ∩ B)?
Class 12 · Mathematics · Medium
→If n(A ∩ Bᶜ) = 44, n(Aᶜ ∩ B) = 36, and n(A △ B) = 92, what is the correct conclusion about the data?
Class 12 · Mathematics · Medium
→If n(A ∩ Bᶜ) = 33, n(Aᶜ ∩ B) = 27, n(A ∩ B) = 18, and n(U) = 110, what is n(Aᶜ ∩ Bᶜ)?
Class 10 · Mathematics · Medium
→If n(A − B) = 36, n(B − A) = 28, n(A ∩ B) = 22, and n(U) = 120, what is n(Aᶜ ∪ Bᶜ)?
Class 10 · Mathematics · Medium
→If n(A) = 90, n(B) = 85, n(A ∪ B) = 125, and n(U) = 160, what is n(Aᶜ ∩ Bᶜ)?
Class 10 · Mathematics · Medium
→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 · Hard
→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 · Medium
→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 · Medium
→If n(A) = 73, n(B) = 69, and n(A △ B) = 88, what is n(A ∩ B)?
Class 10 · Mathematics · Easy
→If only A=18, only A∩B=12, only A∩C=10, and A∩B∩C=6, what is n(A)?
Class 10 · Mathematics · Medium
→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 · Hard
→If n(U) = 120, n(A) = 77, and n(B) = 64, what is the minimum possible value of n(A ∩ B)?
Class 12 · Mathematics · Medium
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