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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 ∩ B ⊆ C, which of the following sets must be empty?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy MathematicsIf \(A\setminus C=B\setminus C\) and \(A\cap C=B\cap C\), what is the conclusion about \(A\) and \(B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Hard MathematicsIf \(A=\{1,3,5,7,9\}\), \(B=\{0,3,6,9\}\), and \(C=\{3,4,5,9\}\), what is \(A\cap(B\cup C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf \(A\cup B=A\) and \(A\cap B=B\), which of the following statements must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf A and B are finite sets and |A \ B| = 9, |B \ A| = 4, and |A ∩ B| = 11, what is |A ∪ B|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A = {x ∈ ℝ | x² − 5x + 6 = 0} and B = {x ∈ ℝ | x² − 7x + 12 = 0}, what is A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf \(A\setminus B=\{1,4\}\), \(A\cap B=\{2,3\}\), and \(B\setminus A=\{5,6,7\}\), what is \(A\cup B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf \(A\cap B=\varnothing\), which formula for \(|A\cup B|\) is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Easy MathematicsIf \(A=\{a,b,c,d\}\) and \(B=\{b,d,e\}\), what is \((A\setminus B)\cup(B\setminus A)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf \(A\cup B=A\cup C\) and \(A\cap B=A\cap C\), which conclusion must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Hard MathematicsIf \(U=\{1,2,\ldots,100\}\), \(A=\{x\in U:4\mid x\}\), and \(B=\{x\in U:10\mid x\}\), what is \(|A\cap B|\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf \(A\subseteq C\) and \(B\subseteq C\), what is \((A\cup B)\setminus C\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Easy MathematicsIf \(A=\{x\in\mathbb{N}:x\le 20,\ x\text{ is prime}\}\) and \(B=\{x\in\mathbb{N}:x\le 20,\ x\text{ is odd}\}\), what is \(A\setminus B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Easy MathematicsWhich identity correctly rewrites \(A\cap(B\cup C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf A \ B = B \ A, which conclusion is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Hard MathematicsIf (A ∪ B) \ (A ∩ B) = ∅, what is true about A and B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Hard MathematicsIf A △ B = (A \ B) ∪ (B \ A), |A| = 21, |B| = 19, and |A ∩ B| = 8, what is |A △ B|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Hard MathematicsIf A = {1, 2, 4, 8, 16}, B = {2, 4, 6, 8, 10}, and C = {4, 8, 12, 16}, what is (A ∩ C) \ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf A \ (B ∪ C) is described using only the meaning of A, B, C, ∩, and set difference, which elements does it contain?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf A = {2, 3, 5, 7, 11} and B = {x ∈ A | x + 1 ∈ A}, what is A \ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium