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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।

MathematicsIf A △ B = (A \ B) ∪ (B \ A), |A △ B| = 34, and |A ∪ B| = 51, what is |A ∩ B|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Hard MathematicsIf |A| = 41, |B| = 36, and |A \ B| = 19, what is |A ∪ B|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A = {2, 4, 6, 8, 10, 12}, B = {3, 6, 9, 12, 15}, and C = {6, 12, 18}, what is (A ∪ B) ∩ C?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A ∩ (B ∪ C) = A, which conclusion must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Hard MathematicsIf |A \ B| = 17, |B \ A| = 23, and |A ∩ B| = 14, what is |A ∪ B|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf A ∪ B = U, A ∩ B = C, and C ⊆ A, then A \ B is equal to which set?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Hard MathematicsIf A = [-4, 6) and B = (-1, 8], what is A \ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf U = {1, 2, ..., 84}, A = {x ∈ U : 7 divides x}, and B = {x ∈ U : 12 divides x}, what is |A ∪ B|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIn a class of 120 students, 72 are in the mathematics set M, 64 are in the physics set P, and 28 are in both sets. How many students are in neither M nor P?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsWhich statement is always true for all sets A, B, and C?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Hard MathematicsIf U = {1, 2, ..., 90}, A = {x ∈ U : 6 divides x}, and B = {x ∈ U : 15 divides x}, what is |A ∪ B|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf A = [-2, 5] and B = (1, 7], what is A \ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsFor sets A, B, and C, consider the identity (A \ B) ∩ C = A ∩ (C \ B). Which statement is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A ∪ B = U and A \ B = ∅, what must be true about B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy MathematicsIf A \ B ⊆ C and A ∩ B ⊆ C, which conclusion is necessarily true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf |A ∪ B| = 70, |A \ B| = 25, and |B \ A| = 30, what is |A ∩ B|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A = {1, 2, 3}, B = {3, 4}, and C = {2, 3, 5}, what is (A ∪ B) \ C?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy MathematicsIf A ∩ B = A ∪ B ∪ C, which conclusion about C must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Hard MathematicsIf A ∪ B = A \ B, what is necessarily true about B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf sets A, B, and C satisfy A ⊆ B and B ∩ C = ∅, what is A ∩ C?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy