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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| = 17, |B \ A| = 23, and |A ∩ B| = 14, what is |A ∪ B|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf U = {1, 2, ..., 84}, A = {x ∈ U : 7 divides x}, and B = {x ∈ U : 12 divides x}, what is |A ∪ B|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium 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 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 ∪ B = U and A \ B = ∅, what must be true about B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy 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 MathematicsWhich expression is equal to \(A\setminus(B\setminus C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Hard 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 \(A=\{1,3,5,7,9\}\), \(B=\{0,3,6,9\}\), and \(C=\{3,4,5,9\}\), what is \(A\cap(B\cup C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf \(A\cup B=A\) and \(A\cap B=B\), which of the following statements must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf A and B are finite sets and |A \ B| = 9, |B \ A| = 4, and |A ∩ B| = 11, what is |A ∪ B|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf \(A\setminus B=\{1,4\}\), \(A\cap B=\{2,3\}\), and \(B\setminus A=\{5,6,7\}\), what is \(A\cup B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf \(A\cap B=\varnothing\), which formula for \(|A\cup B|\) is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Easy MathematicsIf \(A=\{a,b,c,d\}\) and \(B=\{b,d,e\}\), what is \((A\setminus B)\cup(B\setminus A)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf \(A\cup B=A\cup C\) and \(A\cap B=A\cap C\), which conclusion must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Hard MathematicsIf \(A\subseteq C\) and \(B\subseteq C\), what is \((A\cup B)\setminus C\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Easy MathematicsWhich identity correctly rewrites \(A\cap(B\cup C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium