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Class 10 · Mathematics · Easy

If the universal set U contains 60 students and set A contains 18 students who learn music, how many students do not learn music?

Class 10 · Mathematics · Easy

If the universal set U = {north, south, east, west} and A = {north, south}, what is Aᶜ?

Class 10 · Mathematics · Easy

If the universal set is U = {1, 2, 3, 4, 5} and A = {2, 5}, which of the following statements is correct?

Class 10 · Mathematics · Easy

If the universal set is U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {2, 3, 5, 7}, which of the following elements belongs to Aᶜ?

Class 10 · Mathematics · Easy

If the universal set U = {x ∈ ℤ | -2 ≤ x ≤ 3} and A = {-1, 0, 1}, what is Aᶜ?

Class 10 · Mathematics · Easy

If the universal set U = (-3, 4] and A = (-3, 1], what is the complement Aᶜ of A with respect to U?

Class 10 · Mathematics · Easy

If the universal set U = [1, 9] and A = [1, 5), what is Aᶜ with respect to U?

Class 10 · Mathematics · Easy

If 5 ∉ Aᶜ and 5 ∈ U, which statement is correct?

Class 10 · Mathematics · Easy

If 6 ∈ U and 6 ∉ A, which conclusion is correct?

Class 10 · Mathematics · Easy

If the universal set U = {a, b, c, d, e} and the complement of A is Aᶜ = {b, e}, what is the value of A ∪ Aᶜ?

Class 10 · Mathematics · Easy

If \(U=\{1,2,3,4,5,6,7,8\}\) and \(A^c=\{2,4,6,8\}\), what is the value of \(A\cap A^c\)?

Class 10 · Mathematics · Easy

If the universal set is \(U=\{2,4,6,8,10,12\}\) and \(A=\{4,8,12\}\), what is the value of \(U-A\)?

Class 10 · Mathematics · Easy

If \(n(U)=31\) for the universal set \(U\), what is the value of \(n(A\cup A^c)\)?

Class 10 · Mathematics · Easy

If the finite universal set \(U\) has \(n(U)=24\) and \(n(A)=n(A^c)\), what is the value of \(n(A)\)?

Class 10 · Mathematics · Easy

If the universal set \(U\) has \(n(U)=48\) and the complement of set \(A\) has \(n(A^c)=19\), what is the value of \(n(A)\)?

Class 10 · Mathematics · Easy

If the universal set \(U=\{x:x\text{ is a digit}\}\) and \(A=\{0,2,4,6,8\}\), what is \(A^c\)?

Class 10 · Mathematics · Easy

If \(U=\{\text{red},\text{blue},\text{green},\text{yellow}\}\) and \(A=\{\text{red},\text{yellow}\}\), what is \(A^c\)?

Class 10 · Mathematics · Easy

If \(U\) is the set of all students in a school and \(A\) is the set of students who come by bus, what does \(A^c\) represent?

Class 10 · Mathematics · Easy

In a Venn diagram, which region represents \(A^c\) with respect to the universal set \(U\)?

Class 10 · Mathematics · Easy

With respect to a universal set \(U\), which of the following statements is always true for every set \(A\)?