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Disjoint Sets

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

MathematicsWhich pair of sets is always disjoint?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf x ∈ U and x ∉ A, then x will be an element of which set?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsIf the universal set U = {1, 2, 3, 4, 5, 6} and A = {1, 5, 6}, what is A − A′?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf U = {1, 2, 3, 4, 5, 6, 7, 8} and A = {3, 4, 5, 6}, which set is A′ ∩ A?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf U = {1, 2, 3, 4, 5} and A′ = {2, 5}, what is A ∩ A′?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy 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 sets A, B, and C satisfy A ⊆ B and B ∩ C = ∅, what is A ∩ C?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy MathematicsIf \(A=\{1,2,3,4\}\) and \(B=\{3,4,5,6\}\), what is \(\mathcal P(A\cap B)\cap\mathcal P(A\setminus B)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Hard MathematicsIf \(A\cap B=\varnothing\), which formula for \(|A\cup B|\) is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Easy MathematicsIf A \ B = B \ A, which conclusion is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Hard MathematicsIf A \ B = A, which statement must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf A ∩ B = ∅, what is (A ∪ B) \ A?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Easy MathematicsIf A \ B = B \ A = {2, 5}, what is the correct conclusion?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Medium MathematicsIf A \ B = A, which conclusion is definite?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A ∩ B = ∅, n(A) = p, and n(B) = q, what is n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy MathematicsIf A ∩ B = ∅, n(A) = 21, and n(B) = 17, what is the value of n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Easy MathematicsIf A ⊆ B and C ∩ B = ∅, then (A ∪ C) ∩ B is equal to which set?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf n(A ∪ B ∪ C) = 88, n(A − B) = 19, n(B − A) = 24, n(A ∩ B) = 13, and C − (A ∪ B) has 32 elements, what is n((A ∪ B) − C) if C has no element of A ∪ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Hard MathematicsIf A and B are finite sets and n(A ∪ B) = n(A) + n(B), which conclusion is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf \(A\cap B=B\cap C=C\cap A=\varnothing\), \(n(A)=12\), \(n(B)=15\), and \(n(C)=18\), what is the value of \(n(A\cup B\cup C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium