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Class 12 · Mathematics · Medium
→If only A has 12, only B has 15, only C has 10, exactly two has 33, all three has 9, and outside has 21, what is n(U)?
Class 10 · Mathematics · Hard
→If n(A ∩ B)=20, n(B ∩ C)=18, n(C ∩ A)=16, and n(A ∩ B ∩ C)=6, how many elements are in exactly two sets?
Class 10 · Mathematics · Hard
→Which formula correctly gives the number of elements belonging to exactly two of three sets?
Class 10 · Mathematics · Medium
→If n(A Δ B) = 54 and n(A ∩ B) = 19, what is n(A ∪ B)?
Class 10 · Mathematics · Easy
→In a Venn diagram, n(A ∪ B) = 70, n(A − B) = 24, and n(B − A) = 31. What is n(A ∩ B)?
Class 10 · Mathematics · Medium
→If n(A′) = 35, n(B′) = 42, n(U) = 80, and n(A ∩ B) = 25, what is n(A′ ∩ B′)?
Class 10 · Mathematics · Medium
→If n(U) = 100, n(A) = 48, n(B) = 52, and n(A′ ∩ B′) = 18, what is n(A ∩ B)?
Class 10 · Mathematics · Hard
→In a Venn diagram, why must expressions such as n(A−B)=18, n(B−C)=26, and n(C−A)=21 be handled carefully?
Class 12 · Mathematics · Medium
→If n(A−B)=20, n(A∩B)=15, and n(B)=47, find n(B−A).
Class 10 · Mathematics · Medium
→If n(A−B)=23, n(B−A)=17, and n(A∩B)=12, what is n(A∪B)?
Class 10 · Mathematics · Easy
→If A∩B=∅, n(A)=31, and n(B)=44, what is n(A∪B)?
Class 10 · Mathematics · Easy
→If A is a subset of B, n(A) = 28, and n(B) = 64, how many elements are in the region B − A of the Venn diagram?
Class 10 · Mathematics · Easy
→In a group of 80 students, 46 chose Mathematics, 39 chose Physics, and 22 chose both. How many students chose only Physics?
Class 10 · Mathematics · Medium
→If n(A)=60, n(B)=55, and n(A∩B)=25, how many elements belong to exactly one set?
Class 10 · Mathematics · Medium
→If only A, only B, only C, exactly two sets, and all three sets contain 16, 19, 14, 27, and 8 elements respectively, how many elements are in at least one set?
Class 10 · Mathematics · Easy
→In a survey, the universal set U has 200 people, and 164 people belong to at least one of the sets A, B, or C. How many people belong to none of the three sets?
Class 10 · Mathematics · Medium
→In a Venn diagram, n(A∩B∩C)=7, only A∩B is 9, only B∩C is 6, only C∩A is 5, and only A is 18. What is n(A)?
Class 10 · Mathematics · Hard
→If n(A ∪ B ∪ C) = 100, n(A) = 50, n(B) = 45, n(C) = 40, n(A ∩ B) = 18, n(B ∩ C) = 15, and n(C ∩ A) = 12, what is n(A ∩ B ∩ C)?
Class 10 · Mathematics · Hard
→For three sets, n(A) = 40, n(B) = 38, n(C) = 35, n(A ∩ B) = 14, n(B ∩ C) = 12, n(C ∩ A) = 10, and n(A ∩ B ∩ C) = 5. What is n(A ∪ B ∪ C)?
Class 10 · Mathematics · Easy
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