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Class 10 · Mathematics · Easy
→In a Venn diagram, what is (A ∪ B) ∩ (A ∪ Bᶜ) equal to?
Class 10 · Mathematics · Easy
→In a Venn diagram, what set is (A ∩ B) ∪ (A ∩ Bᶜ) equal to?
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
→In a Venn diagram, n(A − B) = 25, n(B − A) = 30, n(A ∩ B) = 20, and n((A ∪ B)ᶜ) = 15. What is n(Aᶜ)?
Class 10 · Mathematics · Medium
→If n(U) = 170, n(A ∩ B) = 44, and n(Aᶜ ∪ Bᶜ) = 146, what can be said about the given data?
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) = 104, n(A ∩ B) = 26, and n(A − B) = 37, what is n(B)?
Class 10 · Mathematics · Hard
→In a survey, n(A) = 82, n(B) = 76, n(C) = 70, 54 people are in exactly two sets, and 18 are in all three sets. How many people are in exactly one set?
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 · Medium
→If in three sets there are 71 elements belonging to exactly one set, 46 elements belonging to exactly two sets, and 15 elements belonging to all three sets, what is n(A ∪ B ∪ C)?
Class 10 · Mathematics · Hard
→In three sets, n(A ∪ B ∪ C) = 150. If only A = 32, only B = 28, only C = 24, only A ∩ B = 18, only B ∩ C = 16, and only C ∩ A = 14, what is n(A ∩ B ∩ C)?
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 · Hard
→If n(A) = 55, n(B) = 50, n(A − B) = 20, and n(B − A) = 18, what is the correct conclusion about the given data?
Class 10 · Mathematics · Hard
→If n(A) = 48, n(B) = 52, n(A − B) = 17, and n(B − A) = 21, what is n(A ∩ B)?
Class 10 · Mathematics · Medium
→If n(A ∩ B) = n(A), which relation must be true?
Class 10 · Mathematics · Medium
→If n(A ∪ B) = n(A), which relation must be true?
Class 10 · Mathematics · Medium
→If n(A ∪ B) = n(A) + n(B), which conclusion is correct according to the Venn diagram?
Class 10 · Mathematics · Hard
→Given n(A − B) = 34, n(B − C) = 41, and n(C − A) = 29, which conclusion cannot always be assumed to be true?
Class 10 · Mathematics · Medium
→Let U = {1, 2, 3, ..., 100}. A is the set of numbers divisible by 2, B the set of numbers divisible by 5, and C the set of numbers divisible by 10. Which relation is correct?
Class 10 · Mathematics · Medium
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