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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 \(A\cup B=A\cup C\) 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 MathematicsIf A ∩ B = A and A ∪ B = B, which relation between A and B is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf |A| = 12, |B| = 18, |C| = 20, |A ∩ B| = 5, |B ∩ C| = 7, |C ∩ A| = 4, and |A ∩ B ∩ C| = 2, what is |A ∪ B ∪ C|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Hard MathematicsIf A = {x ∈ ℤ : −3 ≤ x ≤ 4} and B = {x ∈ ℤ : x² < 10}, what is A \ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf A ∩ (B \ C) = ∅, which inclusion must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Hard MathematicsIf A ⊆ B, then A ∪ (B \ A) is equal to which set?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf A = {1, 2, 3, 4, 5}, B = {2, 4, 6, 8}, and C = {1, 4, 7, 8}, what is (A ∪ B) ∩ C?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf A \ B = A, which statement must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf |A| = 28, |B| = 35, and |A ∪ B| = 50, what is |A \ B|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf A ∪ B = A ∩ B, which conclusion about A and B is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium