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Class 10 · Mathematics · Easy

In a group, 24 students study Hindi, 18 study English, and 7 study both languages. How many students study only Hindi?

Class 10 · Mathematics · Medium

If n(A) = 35, n(B) = 27, and n(A ∪ B) = 50, what is n(A − B)?

Class 10 · Mathematics · Medium

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 2, 5, 7}, and B = {2, 4, 5, 8, 10}. What is (A ∩ B)′?

Class 10 · Mathematics · Medium

If A = {x : x ∈ ℕ, x ≤ 15} and B = {x : x ∈ ℕ, x is odd, x ≤ 15}, what is A − B?

Class 12 · Mathematics · Medium

If A = {2, 4, 6, 8, 10}, B = {1, 2, 3, 4, 5}, and C = {4, 5, 6, 7}, what is A ∩ (B ∪ C)?

Class 10 · Mathematics · Medium

If n(A ∪ B) = 60, n(A − B) = 18, and n(B − A) = 22, what is n(A ∩ B)?

Class 10 · Mathematics · Medium

If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, what is n(A − B) + n(B − A)?

Class 10 · Mathematics · Easy

If A = {1, 2, 3}, what is A ∩ ∅?

Class 10 · Mathematics · Easy

If A = {1, 2, 3}, what is A ∪ ∅?

Class 10 · Mathematics · Easy

Which statement is generally not true?

Class 10 · Mathematics · Medium

Which option is always true?

Class 10 · Mathematics · Easy

If \(A=\{x:x\in\mathbb N,\ x\le12\}\) and \(B=\{x:x\in\mathbb N,\ x\text{ is a perfect square},\ x\le12\}\), how many elements are in \(A-B\)?

Class 12 · Mathematics · Medium

If \(A=\{1,2,3,4,5,6,7\}\) and \(B=\{2,4,6,8\}\), what is \((A-B)\cup(B-A)\)?

Class 10 · Mathematics · Medium

If \(A=\{x:x\text{ is a multiple of }4,\ 1\le x\le25\}\) and \(B=\{x:x\text{ is a multiple of }6,\ 1\le x\le25\}\), how many elements are in \(A\cup B\)?

Class 10 · Mathematics · Medium

If \(A=\{x:x\text{ is a multiple of }3,\ 1\le x\le20\}\) and \(B=\{x:x\text{ is a multiple of }5,\ 1\le x\le20\}\), what is \(A\cap B\)?

Class 10 · Mathematics · Medium

If \(A=\{1,2,4,8\}\), \(B=\{2,4,6\}\), and \(C=\{4,6,8\}\), what is \((A\cap B)\cup C\)?

Class 10 · Mathematics · Medium

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

Class 10 · Mathematics · Easy

For a universal set \(U\), what is \(A\cap A'\) equal to?

Class 10 · Mathematics · Easy

For a universal set \(U\), what is \(A\cup A'\) equal to?

Class 10 · Mathematics · Medium

If \(A\cup B=A\), what is the correct conclusion?