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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 and A ∩ B = B, which relation is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16EasyMathematicsIf A = {x : x ∈ N, 2 divides x, x ≤ 16} and B = {x : x ∈ N, 4 divides x, x ≤ 16}, what is A \ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16EasyMathematicsIf A = {x : x ∈ N, 1 ≤ x ≤ 12}, B = {2, 4, 6, 8, 10, 12}, and C = {3, 6, 9, 12}, what is A \ (B ∪ C)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16MediumMathematicsIf A = {1, 2, 4, 8}, B = {2, 4, 6, 8}, and C = {4, 8, 10}, what is (A ∩ B) \ C?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16MediumMathematicsIf A = {a, b, c, e}, B = {b, d, e}, and C = {e, f}, what is (A ∪ B) ∩ (B ∪ C)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16MediumMathematicsIf A = {1, 2, 3, 4, 5, 6}, B = {2, 3, 5, 7}, and C = {3, 5, 8}, what is A ∩ (B \ C)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16MediumMathematicsIf A = {0, 1, 2, 3} and B = {2, 3, 4, 5}, which of the following is a subset of A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10EasyMathematicsIf n(A) = 46, n(B) = 35, and n(B \ A) = 24, what is n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16EasyMathematicsIf n(A ∪ B) = 70, n(A) = 46, n(B) = 35, and n(B \ A) = 24, what is n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16MediumMathematicsIn a group, 32 students play cricket, 24 play football, and 12 play both. How many students play only football?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10EasyMathematicsIn a survey, 45 people like tea, 38 like coffee, and 20 like both. How many people like only tea?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10EasyMathematicsIf n(A \ B) = 9, n(A ∩ B) = 6, and n(B \ A) = 11, what is n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16MediumMathematicsIf A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7}, what is (A ∪ B) \ B equal to?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16MediumMathematicsIf A = {m, n, o} and B = {n, o, p, q}, what is (A ∪ B) \ A?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16MediumMathematicsIf A = {1, 2, 3, 4}, B = {2, 4, 6, 8}, and C = {4, 8, 12}, what is A ∩ B ∩ C?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16EasyMathematicsIf A = {2, 4, 6, 8} and B = {1, 2, 3, 4}, which statement about A ∩ B ⊆ A ∪ B is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf A = {1, 3, 5, 7, 9} and B = {3, 6, 9}, which element belongs to A ∪ B but does not belong to A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10EasyMathematicsIf A = {x : x ∈ ℤ, x² ≤ 4} and B = {-1, 0, 1, 3}, what is A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16MediumMathematicsIf A = {1, 2, 3, 4, 5, 6} and B = {2, 4, 6}, what are A \ B and B \ A, respectively?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16MediumMathematicsIf A ∩ B = A, which relation is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Medium