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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 = {2, 5}), (B \ A = {7}), and (A ∩ B = {1, 3}), then what is (A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium 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 = {1, 3, 5, 7, 9}, B = {3, 6, 9}, and C = {1, 2, 3, 4}, what is (A ∪ B) \ C?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf A = {1, 2, 3, 4, 5}, B = {2, 4, 6}, and C = {1, 4, 7}, what is A ∩ (B ∪ C)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Easy MathematicsIn a survey of 90 people, 52 like tea, 47 like coffee, and 19 like both tea and coffee. How many people like neither tea nor coffee?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf \(n(A\cup B)=75\), \(n(A\cap B)=18\), and \(n(A)=46\), what is the value of \(n(B)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsWhich expression is equal to \(A\setminus(B\cup C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Hard MathematicsIf \(A\cup B=A\cap B\), which of the following conclusions is always true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Hard MathematicsIf \(n(A)=30\), \(n(B)=24\), and \(n(A\setminus B)=18\), what is the value of \(n(A\cup B)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf \(A\cap B=A\) and \(A\cup B=B\), which of the following is the correct conclusion?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf \(A\subseteq B\), then what is \(A\cup(B\setminus A)\) equal to?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf \(U=\{1,2,\ldots,20\}\), \(A=\{x:x\in U,\ x\text{ is even}\}\), and \(B=\{x:x\in U,\ x\text{ is divisible by }3\}\), then what is \(n((A\cup B)')\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf A = (−∞, 3] and B = [1, ∞), what is A ∪ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Easy MathematicsIf n(A) = 42, n(B) = 35, and n(A ∪ B) = 60, what is n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf A ⊆ B and C ∩ B = ∅, then (A ∪ C) ∩ B is equal to which set?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsFor a universal set U with n(U) = 110, if n(A) = 64, n(B) = 57, and n(A ∩ B) = 29, what is n((A ∪ B)′)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf A = {x ∈ ℝ : −3 ≤ x < 5}, B = {x ∈ ℝ : 1 < x ≤ 8}, and C = {x ∈ ℝ : x ≤ 2}, what is (A ∪ B) ∩ C?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 MathematicsWhich of the following set identities is true for all sets A, B, and C?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