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Class 10 · Mathematics

If A ⊆ B, n(A) = 12, and n(B) = 31, what is n(A ∩ B)?

Class 10 · Mathematics

If A ⊆ B, n(A) = 9, and n(B) = 26, what is n(A ∪ B)?

Class 10 · Mathematics

If A ∩ B = ∅, n(A) = 15, and n(B) = 18, what is n(A ∪ B)?

Class 10 · Mathematics

In a sports camp there are 55 students. Of these, 30 take part in running, 22 in swimming, and 8 in both activities. How many students take part only in swimming?

Class 10 · Mathematics

In a group of 36 people, 17 drink tea, 15 drink milk, and 6 drink both tea and milk. How many people drink only tea?

Class 12 · Mathematics

In a survey of 50 people, 28 use a mobile, 20 use a computer, and 10 use both. How many people use neither device?

Class 10 · Mathematics

In a class of 42 students, 24 like mathematics, 18 like science, and 7 like both subjects. How many students like at least one subject?

Class 10 · Mathematics

If n(A ∪ B) = 44, the number of elements only in A is 16, and the number of elements only in B is 19, what is n(A ∩ B)?

Class 10 · Mathematics

If n(U) = 80, the number of elements outside both sets is 15, only A has 25 elements, and only B has 18 elements, what is n(A ∩ B)?

Class 10 · Mathematics

If n(U) = 64, only A has 18 elements, A ∩ B has 12 elements, and only B has 20 elements, how many elements are in the outside region, U − (A ∪ B)?

Class 10 · Mathematics

If n(B − A) = 13 and n(A ∩ B) = 6, what is n(B)?

Class 10 · Mathematics

If n(A − B) = 10 and n(A ∩ B) = 7, what is n(A)?

Class 10 · Mathematics

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

Class 10 · Mathematics

If U = {1, 2, 3, 4, 5, 6} and A = {1, 4, 6}, what is A', the complement of A in U?

Class 10 · Mathematics

If A = {a, c, e} and B = {b, c, d, e}, which elements belong only to B, that is, B − A?

Class 10 · Mathematics

If A = {2, 4, 6, 8} and B = {1, 2, 8, 9}, which elements belong only to A, that is, A − B?

Class 10 · Mathematics

If A = {1, 2, 3, 4, 5} and B = {3, 5, 7}, what is A ∩ B?

Class 10 · Mathematics

According to De Morgan's law, what is (A ∩ B)' equal to?

Class 12 · Mathematics

According to De Morgan’s law, what is (A∪B)′ equal to?

Class 10 · Mathematics

In a Venn diagram, which region does A∩B′ represent?