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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।

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 A = {x : x ∈ ℕ, x ≤ 12}, B = {x ∈ A : x is even}, and C = {x ∈ A : x is prime}, how many elements are in B ∪ C?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Easy 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 ∩ B = A \ B, which conclusion about A is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf \(n(A\cup B)=n(A)+n(B)\) and \(n(A)=0\), what is \(A\cap B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Easy MathematicsWhich expression is equal to \(A\setminus(B\setminus C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Hard MathematicsIf \(A=\{x\in\mathbb Z:|x|\le 4\}\) and \(B=\{x\in\mathbb Z:x^2\le 9\}\), what is \(A\setminus B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf A \ B = A ∩ C and A ∩ B = A \ C, what is A ∩ B ∩ C?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf \(A\cup B=A\cup C\), which additional statement is sufficient to prove \(B=C\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Hard 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