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Class 10 · Mathematics

If n(A) = 42, n(A ∪ B) = 69, and n(A ∩ B) = 18, what is n(B)?

Class 10 · Mathematics

If n(U) = 96 and n(A ∩ B) = 34, what is n((A ∩ B)′)?

Class 10 · Mathematics

If n(U) = 110, n(A) = 58, n(B) = 47, and n(A ∩ B) = 20, what is n((A ∪ B)′)?

Class 10 · Mathematics

For two sets A and B in a Venn diagram, which of the following statements is always true?

Class 10 · Mathematics

If n(A) = 39, n(B) = 50, and the number of elements only in B, that is, not in A, is 28, what is n(A ∩ B)?

Class 10 · Mathematics

If n(A) = 45, n(B) = 38, and only A has 19 elements, that is, n(A − B) = 19, what is n(A ∩ B)?

Class 10 · Mathematics

If n(A) = 24, n(B) = 20, and n(A ∩ B) = 6, what is the combined number of elements that are only in A and only in B?

Class 10 · Mathematics

If n(A) = 16, n(B) = 18, n(C) = 9, n(A ∩ B) = 6, n(A ∩ C) = 2, n(B ∩ C) = 3, and n(A ∩ B ∩ C) = 1, what is n(A ∪ B ∪ C)?

Class 10 · Mathematics

If \(n(A)=12\), \(n(B)=14\), \(n(C)=10\), \(n(A\cap B)=5\), \(n(A\cap C)=3\), \(n(B\cap C)=4\), and \(n(A\cap B\cap C)=2\), what is \(n(A\cup B\cup C)\)?

Class 10 · Mathematics

Where is A ∩ B ∩ C located in a Venn diagram of three sets?

Class 10 · Mathematics

If A ∪ B = A, which relation between A and B is correct?

Class 10 · Mathematics

If A ∩ B = A, which relation between A and B is correct?

Class 10 · Mathematics

If \(A=B\), then in a Venn diagram, \(A-B\) will be equal to which of the following?

Class 10 · Mathematics

If \(A\subseteq B\), \(n(A)=15\), and \(n(B)=52\), what is \(n(A\cap B)\)?

Class 10 · Mathematics

If \(A\subseteq B\), \(n(A)=18\), and \(n(B)=46\), what is \(n(A\cup B)\)?

Class 10 · Mathematics

If \(A\cap B=\varnothing\), \(n(A)=24\), and \(n(B)=37\), what is \(n(A\cup B)\)?

Class 10 · Mathematics

At a fair, 120 people attended, 70 visited the rides, 52 visited the game stalls, and 30 visited both. How many people visited at least one of these two places?

Class 10 · Mathematics

In an examination of 100 students, 62 passed Mathematics, 49 passed Science, and 35 passed both subjects. How many students passed Science only?

Class 10 · Mathematics

A club has 74 members. Of these, 29 are in singing, 33 are in painting, and 12 are in both activities. How many members are only in painting?

Class 10 · Mathematics

In a group of 58 people, 32 like mango, 21 like banana, and 9 like both. How many like only mango?