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Operations On Sets Union Intersection Difference

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

MathematicsWhich identity correctly rewrites \(A\cap(B\cup C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17MediumMathematicsIf A \ B = B \ A, which conclusion is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10HardMathematicsIf (A ∪ B) \ (A ∩ B) = ∅, what is true about A and B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10HardMathematicsIf 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 17HardMathematicsIf 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 17MediumMathematicsIf 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 17MediumMathematicsIf 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 17MediumMathematicsIf A ∩ B = A and A ∪ B = B, which relation between A and B is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf |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 17HardMathematicsIf A = {x ∈ ℤ : −3 ≤ x ≤ 4} and B = {x ∈ ℤ : x² < 10}, what is A \ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17MediumMathematicsIf A ∩ (B \ C) = ∅, which inclusion must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10HardMathematicsIf A ⊆ B, then A ∪ (B \ A) is equal to which set?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17MediumMathematicsIf 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 17MediumMathematicsIf A \ B = A, which statement must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17MediumMathematicsIf |A| = 28, |B| = 35, and |A ∪ B| = 50, what is |A \ B|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17MediumMathematicsIf A ∪ B = A ∩ B, which conclusion about A and B is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17MediumMathematicsIf U = {1, 2, …, 60}, A = {x ∈ U : 2 divides x}, and B = {x ∈ U : 3 divides x}, what is |A ∪ B|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17MediumMathematicsIf A = [−4, 2) ∪ (5, 9] and B = (−1, 6], what is A \ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16HardMathematicsIf n(A ∪ B) = 54, n(A \ B) = 17, and n(B \ A) = 21, what is n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16MediumMathematicsIf A and B are any two sets, then (A ∪ B) \ (A \ B) is equal to which set?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Medium