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Class 10 · Mathematics · Easy
→Among 100 students, 40 are only in A, 28 are only in B, and 12 are in both. How many are in at least one set?
Class 10 · Mathematics · Medium
→In a survey of 90 people, 52 like tea, 47 like coffee, and 25 like both. How many like neither tea nor coffee?
Class 10 · Mathematics · Medium
→If n(A ∩ B') = 24, n(A' ∩ B) = 31, and n(A ∩ B) = 16, what is n(A ∪ B)?
Class 10 · Mathematics · Medium
→If n(U) = 95, n(A') = 47, n(B') = 52, and n(A ∩ B) = 18, choose the correct value of n(A ∪ B).
Class 10 · Mathematics · Medium
→Given n(U) = 95, n(A′) = 47, n(B′) = 52, and n(A ∩ B) = 18, what is n(A ∪ B)?
Class 10 · Mathematics · Easy
→If n(A ∩ B) = n(A) and n(A) > 0, what is the relation between A and B in a Venn diagram?
Class 10 · Mathematics · Easy
→If A and B are overlapping sets, which region is shaded for A ∪ B in a Venn diagram?
Class 10 · Mathematics · Medium
→Which Venn diagram region represents A − (B ∪ C)?
Class 10 · Mathematics · Hard
→If only A has 12, only B has 15, only C has 18, only A ∩ B has 9, only B ∩ C has 7, only C ∩ A has 6, and A ∩ B ∩ C has 4, what is n(A ∩ (B ∪ C))?
Class 10 · Mathematics · Hard
→In a survey, n(M) = 60, n(P) = 54, n(C) = 50, n(M ∩ P) = 25, n(P ∩ C) = 22, n(C ∩ M) = 20, and n(M ∩ P ∩ C) = 10. How many study only M?
Class 10 · Mathematics · Medium
→If n(U) = 110, n(A) = 58, n(B) = 49, and n(A − B) = 21, choose the correct value of n((A ∪ B)′).
Class 10 · Mathematics · Hard
→If n(U) = 110, n(A) = 58, n(B) = 49 and n(A − B) = 21, then what is n((A ∪ B)′)?
Class 10 · Mathematics · Hard
→If n(A) = 45, n(B) = 52 and n(A ∪ B) = 73, what is n(A △ B), where A △ B = (A − B) ∪ (B − A)?
Class 10 · Mathematics · Medium
→In an examination group of 120 students, 72 study Mathematics, 64 study Physics, and 38 study both subjects. How many study exactly one subject?
Class 10 · Mathematics · Medium
→If A ∩ B = ∅, n(A) = 41, n(B) = 39, and n(U) = 100, what is n((A ∪ B)′)?
Class 10 · Mathematics · Medium
→If A ⊆ B, n(A) = 32, n(B) = 57 and n(U) = 90, then what is n(B − A)?
Class 10 · Mathematics · Hard
→In a Venn diagram, only A has 23, only B has 17, only C has 19, the three two-set-only regions have 8, 9, and 10, and the centre has 5. What is n(A ∪ B ∪ C)?
Class 12 · Mathematics · Medium
→If n(A ∪ B) = 76, n(A − B) = 31, and n(B − A) = 27, what is n(A ∩ B)?
Class 10 · Mathematics · Easy
→In a survey, n(U) = 200 and n(A ∪ B ∪ C) = 164. How many people are in none of the sets?
Class 10 · Mathematics · Hard
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