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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) \ (A ∩ B) = ∅, what is true about A and B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10HardMathematicsIf 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 ∩ 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 ⊆ 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| = 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 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 16MediumMathematicsIf A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C), which law does this illustrate?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16EasyMathematicsIf A ∩ B = ∅, what is (A ∪ B) \ A?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16EasyMathematicsIf A ∪ B = A ∩ C, which conclusion must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10HardMathematicsLet U be a universal set with n(U) = 60. If n(A) = 32, n(B) = 27, and n(A ∩ B) = 11, what is n((A ∪ B)′), the number of elements in the complement of A ∪ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf A \ B has 5 elements, B \ A has 7 elements, and A ∩ B has 4 elements, what is n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16MediumMathematicsLet A = {x : x is a positive natural number, x ≤ 15, and 2 divides x} and B = {x : x is a positive natural number, x ≤ 15, and 5 divides x}. How many elements are in A ∪ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10EasyMathematicsLet U = {1, 2, ..., 12}, A = {2, 3, 5, 7, 11}, and B = {1, 3, 5, 9, 11}. What is (A ∪ B)′, the complement of A ∪ B in U?Class 10SetsComplement of a Set and Its PropertiesLevel 10MediumMathematicsIf A = {x ∈ R : x < 2} and B = {x ∈ R : x > −1}, what is A ∪ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10EasyMathematicsIn a class of 40 students, 24 chose Mathematics and 18 chose Physics, while 7 chose neither subject. How many students chose both subjects?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium