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Class 10 · Mathematics

If n(A ∪ B) = 45, n(A) = 28, and n(B) = 25, find n(A ∩ B).

Class 10 · Mathematics

If n(A) = 18, n(B) = 14, and n(A ∩ B) = 6, what is n(A ∪ B)?

Class 10 · Mathematics

If A = {1,3,5,7,9}, B = {2,3,5,8}, and C = {3,4,5,6}, what is A − (B ∩ C)?

Class 10 · Mathematics

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

Class 10 · Mathematics

If A = {2,4,6,8,10} and B = {1,2,3,4}, what is B \ A?

Class 10 · Mathematics

If P = {a,b,c,d} and Q = {b,d,e}, find P ∩ Q.

Class 10 · Mathematics

Let A = {x ∈ Z : -5 < x < 4}, and let B contain the even integers satisfying -5 < x < 4. What is A \ B?

Class 10 · Mathematics

If A \ B = ∅ and B \ A = ∅, which conclusion is correct?

Class 10 · Mathematics

In a survey, 58 students take online classes, 46 students visit the library, and 21 do both. How many students do exactly one activity?

Class 10 · Mathematics

If A = {1,2,3,4,5,6,7,8}, B = {2,4,6,8,10}, and C = {1,4,8,12}, what is (A ∩ B) \ C?

Class 10 · Mathematics

If \(A=\{x:x\in\mathbb{N},\ x\mid 30\}\) and \(B=\{x:x\in\mathbb{N},\ x\mid 45\}\), what is \((A\cup B)\setminus(A\cap B)\)?

Class 10 · Mathematics

If \(A=\{x:x\in\mathbb{N},\ 1\le x\le 10\}\), \(B=\{1,4,7,10\}\), and \(C=\{2,4,6,8,10\}\), what is \(A\setminus(B\cup C)\)?

Class 10 · Mathematics

If \(A=\{1,2,3,4\}\) and \(B=\{2,4,6,8\}\), which statement about \(A\setminus B\subseteq A\) is correct?

Class 10 · Mathematics

If \(A=\{p,q,r,s,t\}\), \(B=\{q,s,u\}\), and \(C=\{r,s,t,u\}\), what is \(A\setminus(B\cap C)\)?

Class 10 · Mathematics

If \(A=\{1,4,7,10\}\), \(B=\{2,4,8,10\}\), and \(C=\{4,10,12\}\), what is \((A\cup B)\cap C\)?

Class 10 · Mathematics

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

Class 10 · Mathematics

If \(A=\{x:x\in\mathbb{N},\ x\le 15,\ x\text{ is composite}\}\) and \(B=\{4,6,8,10,12,14\}\), what is \(B\setminus A\)?

Class 10 · Mathematics

If \(A=\{0,2,4,6\}\) and \(B=\{1,2,3,4\}\), which statement is false?

Class 10 · Mathematics

If \(A=\{2,5,10\}\) and \(B=\{5,10,15\}\), which of the following sets is a subset of \(A\cap B\)?

Class 10 · Mathematics

If \(A=\{1,3,6,9\}\) and \(B=\{3,6,12\}\), which element belongs to \(A\setminus B\)?