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Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf \(A\setminus B=A\setminus C\) and \(B\subseteq C\), which conclusion must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Hard MathematicsIf \(|A\cup B|=92\), \(|A\setminus B|=31\), and \(|A\cap B|=27\), what is \(|B|\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Hard MathematicsIf \(A=[1,10]\), \(B=[3,7]\), and \(C=(5,12)\), what is \(A\setminus(B\cup C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Hard MathematicsIf \(A\cup(B\cap C)=A\), which inclusion must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf \(A=\{1,3,5,7,9,11\}\), \(B=\{3,6,9,12\}\), and \(C=\{5,9,13\}\), what is the value of \((A\setminus B)\cap C\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf \(A\setminus B\subseteq A\cap C\), which conclusion must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf \(\mathcal{P}(A\cap B)=\{\varnothing\}\), what is \(A\cap B\)?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 18Medium MathematicsIf A \ C = B \ C, which statement is always true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Hard MathematicsIf A = {x ∈ N : x ≤ 25 and x is odd} and B = {x ∈ N : x ≤ 25 and 3 divides x}, what is |A ∩ B|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf A ∪ B = A and B ∪ C = C, which relation must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIn 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 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf A ∩ B = A ∩ C and A \ B = A \ C, which conclusion must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Hard MathematicsIf A \ (B \ C) = A, which inclusion must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Hard MathematicsIf A \ B = C \ B and A ∩ B = C ∩ B, what conclusion follows?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Hard MathematicsIf |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 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Hard MathematicsIf A = {a,b,c,d,e}, B = {b,d,f,g}, and C = {a,d,g,h}, what is (A ∩ C) ∪ (B \ A)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf A ∩ B = ∅ and A ∪ B = A ∪ C, which conclusion must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Hard MathematicsLet U = {1, 2, ..., 50}, A = {x ∈ U | 2 divides x}, and B = {x ∈ U | 5 divides x}. How many elements are in A \ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A ∪ B = A ∩ C, which conclusion must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Hard MathematicsIf A ∩ B ⊆ A \ C, which statement must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Hard