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Class 12 · Mathematics · Medium
→Which expression is equal to \((A\cup B)\cap(A\setminus B)\)?
Class 10 · Mathematics · Hard
→If \(A\setminus B=A\setminus C\) and \(B\subseteq C\), which conclusion must be true?
Class 10 · Mathematics · Hard
→If \(|A\cup B|=92\), \(|A\setminus B|=31\), and \(|A\cap B|=27\), what is \(|B|\)?
Class 10 · Mathematics · Hard
→If \(A=[1,10]\), \(B=[3,7]\), and \(C=(5,12)\), what is \(A\setminus(B\cup C)\)?
Class 10 · Mathematics · Medium
→If \(A\cup(B\cap C)=A\), which inclusion must be true?
Class 10 · Mathematics · Medium
→If \(A=\{1,3,5,7,9,11\}\), \(B=\{3,6,9,12\}\), and \(C=\{5,9,13\}\), what is the value of \((A\setminus B)\cap C\)?
Class 10 · Mathematics · Medium
→If \(A\setminus B\subseteq A\cap C\), which conclusion must be true?
Class 10 · Mathematics · Medium
→If \(\mathcal{P}(A\cap B)=\{\varnothing\}\), what is \(A\cap B\)?
Class 10 · Mathematics · Hard
→If A \ C = B \ C, which statement is always true?
Class 10 · Mathematics · Medium
→If A = {x ∈ N : x ≤ 25 and x is odd} and B = {x ∈ N : x ≤ 25 and 3 divides x}, what is |A ∩ B|?
Class 10 · Mathematics · Medium
→If A ∪ B = A and B ∪ C = C, which relation must be true?
Class 10 · Mathematics · Medium
→In a survey of 150 people, 88 are in tea set T, 76 are in coffee set C, and 39 are in both. How many drink only tea?
Class 10 · Mathematics · Hard
→If A ∩ B = A ∩ C and A \ B = A \ C, which conclusion must be true?
Class 12 · Mathematics · Medium
→If A = (-∞, 3] and B = [0, 5), what is A ∩ B?
Class 10 · Mathematics · Hard
→If A \ (B \ C) = A, which inclusion must be true?
Class 10 · Mathematics · Hard
→If A \ B = C \ B and A ∩ B = C ∩ B, what conclusion follows?
Class 10 · Mathematics · Hard
→If |A| = 30, |B| = 27, |C| = 25, |A ∩ B| = 12, |B ∩ C| = 10, |C ∩ A| = 8, and |A ∩ B ∩ C| = 4, what is |A ∪ B ∪ C|?
Class 10 · Mathematics · Medium
→If A = {a,b,c,d,e}, B = {b,d,f,g}, and C = {a,d,g,h}, what is (A ∩ C) ∪ (B \ A)?
Class 10 · Mathematics · Hard
→If A ∩ B = ∅ and A ∪ B = A ∪ C, which conclusion must be true?
Class 10 · Mathematics · Medium
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