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Class 10 · Mathematics ·

Let A = {2,4,6,8,10,12} and B = {6,8,12,14}. What is A − B?

Class 10 · Mathematics ·

In a survey, n(U)=120, n(A)=61, n(B)=54, and n(A∩B)=25. How many elements are in neither set?

Class 10 · Mathematics ·

In a three-set Venn diagram, \(n(A\cap B)=12\), \(n(B\cap C)=13\), \(n(C\cap A)=10\), and \(n(A\cap B\cap C)=4\). How many elements lie in exactly two of the sets?

Class 10 · Mathematics ·

In a Venn diagram, \(n(A-B)=18\), \(n(A\cap B)=12\), \(n(B-A)=22\), and 8 elements are outside. What is \(n(U)\)?

Class 10 · Mathematics ·

If \(n(U)=120\), \(n(A)=65\), \(n(B)=58\), and \(n(A\cap B)=29\), what is \(n(A^c\cap B^c)\)?

Class 12 · Mathematics ·

If \(A=\{1,2,3,4,5\}\) and \(B=\{4,5,6,7\}\), what is \(A-B\)?

Class 12 · Mathematics ·

If \(n(A)=20\), \(n(B)=25\), and \(A\cap B=\varnothing\), how many elements belong to exactly one set?

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 Venn diagram of two sets, n(A − B) = 12, n(B − A) = 9, and n(A ∩ B) = 6. 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 n(A) = 36, n(B) = 28, and n(A ∩ B) = 12, what is n(A ∪ 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 ·

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 ·

If A={4,6,8,10} and B={6,10,12}, which elements are only in A, that is, in A but not in B?

Class 10 · Mathematics ·

If \(n(A)=35\) and \(n(A\cap B)=12\), how many elements are only in \(A\)?

Class 10 · Mathematics ·

If n(A)=17, n(B)=12, and n(A∩B)=0, how are A and B represented in the Venn diagram?

Class 10 · Mathematics ·

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

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 ·

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 12 · Mathematics ·

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