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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 \ C) = A, which inclusion must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Hard MathematicsIf A \ B = C \ B and A ∩ B = C ∩ B, what conclusion follows?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Hard MathematicsIf |A| = 30, |B| = 27, |C| = 25, |A ∩ B| = 12, |B ∩ C| = 10, |C ∩ A| = 8, and |A ∩ B ∩ C| = 4, what is |A ∪ B ∪ C|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Hard MathematicsIf A = {a,b,c,d,e}, B = {b,d,f,g}, and C = {a,d,g,h}, what is (A ∩ C) ∪ (B \ A)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf A ∩ B = ∅ and A ∪ B = A ∪ C, which conclusion must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Hard MathematicsLet U = {1, 2, ..., 50}, A = {x ∈ U | 2 divides x}, and B = {x ∈ U | 5 divides x}. How many elements are in A \ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A ∪ B = A ∩ C, which conclusion must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Hard MathematicsIf A ∩ B ⊆ A \ C, which statement must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Hard MathematicsIn which situation can A \ B = A ∩ B be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Hard MathematicsIf A ⊆ B, what is (C \ B) ∩ A?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A = {x ∈ R | x² − 9 = 0} and B = {x ∈ R | x² − 6x + 9 = 0}, what is A ∪ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A and B are finite sets, |A ∪ B| = 65, |A ∩ B| = 18, and |A| = 39, what is |B \ A|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A ∪ B = B ∪ C and A ∩ B = B ∩ C, which conclusion must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Hard MathematicsUsing (A \ B) ∪ (A ∩ B) = A, how are these two parts of A related?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A = {1, 2, 3, 4, 5, 6}, B = {2, 4, 6, 8}, and C = {1, 4, 6, 9}, what is A \ (B ∩ C)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A \ (B ∩ C) = ∅, which statement must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A ∩ B = B ∩ C = C ∩ A = ∅, |A| = 9, |B| = 11, and |C| = 13, what is |A ∪ B ∪ C|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy MathematicsIf A = {x ∈ N : x ≤ 40 and x is a perfect square} and B = {x ∈ N : x ≤ 40 and x is even}, where N denotes the positive natural numbers, what is A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A ∪ B = A and A \ B = ∅, which conclusion is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A ⊆ B and C ⊆ D, which inclusion must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium