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Class 10 · Mathematics

In a survey, 27 students study Mathematics, 34 study Science, and 12 study both. How many study only Mathematics?

Class 10 · Mathematics

In a group, 40 people like tea, 32 like coffee, and 18 like both. How many like at least one drink?

Class 10 · Mathematics

If n(U) = 60, n(A) = 25, n(B) = 30, and 5 students are in neither set, what is n(A ∩ B)?

Class 10 · Mathematics

If n(U) = 70, n(A) = 38, and n(Aᶜ) = 32, which statement is correct?

Class 10 · Mathematics

In a Venn diagram, n(U) = 100, n(A) = 52, n(B) = 44, and n(A ∩ B) = 21. What is n((A ∪ B)ᶜ)?

Class 10 · Mathematics

Which part does A ∩ B show in a Venn diagram?

Class 10 · Mathematics

If A ∩ B = ∅, n(A) = 26, and n(B) = 19, what is n(A ∪ B)?

Class 10 · Mathematics

If A ⊆ B, n(A) = 18, and n(B) = 45, what is n(B − A)?

Class 10 · Mathematics

In a Venn diagram of two sets, n(A − B) = 12, n(B − A) = 9, and n(A ∩ B) = 6. What is n(A ∪ B)?

Class 10 · Mathematics

If n(B) = 41 and n(A ∩ B) = 17, how many elements are in the region that belongs only to B?

Class 10 · Mathematics

If n(A) = 32 and n(A ∩ B) = 14, how many elements are only in A in the Venn diagram?

Class 10 · Mathematics

In a survey, n(U) = 80, n(A) = 45, n(B) = 37, and n(A ∩ B) = 18. How many students are in neither group?

Class 10 · Mathematics

If n(A) = 35, n(B) = 30, and n(A ∪ B) = 50, what is n(A ∩ B) in the Venn diagram?

Class 10 · Mathematics

In a class, n(U) = 50, n(A) = 28, n(B) = 22, and n(A ∩ B) = 10. What is n(A ∪ B)?

Class 12 · Mathematics

If n(A ∪ B) = 81, the number of elements only in A is 29, and the number only in B is 34, what is n(A ∩ B)?

Class 10 · Mathematics

If U = {a, b, c, d, e, f, h}, A = {a, c, e}, and B = {c, d, f}, what is (A ∪ B)′?

Class 10 · Mathematics

If n(A) = 44 and n(A ∩ B) = 18, how many elements are only in A?

Class 10 · Mathematics

If A = {1, 3, 5, 7, 9} and B = {5, 7, 11}, what is the region that belongs only to A, that is, A − B?

Class 10 · Mathematics

If n(U) = 92 and n(A ∪ B) = 67, how many elements are in the region that is neither in A nor in B in the Venn diagram?

Class 10 · Mathematics

If n(A) = 36, n(B) = 28, and n(A ∩ B) = 12, what is n(A ∪ B)?