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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 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| = 12, |B| = 18, |C| = 20, |A ∩ B| = 5, |B ∩ C| = 7, |C ∩ A| = 4, and |A ∩ B ∩ C| = 2, what is |A ∪ B ∪ C|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Hard MathematicsIf |A| = 28, |B| = 35, and |A ∪ B| = 50, what is |A \ B|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf U = {1, 2, …, 60}, A = {x ∈ U : 2 divides x}, and B = {x ∈ U : 3 divides x}, what is |A ∪ B|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsLet U be a universal set with n(U) = 60. If n(A) = 32, n(B) = 27, and n(A ∩ B) = 11, what is n((A ∪ B)′), the number of elements in the complement of A ∪ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsLet A = {x : x is a positive natural number, x ≤ 15, and 2 divides x} and B = {x : x is a positive natural number, x ≤ 15, and 5 divides x}. How many elements are in A ∪ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy MathematicsIn a class of 40 students, 24 chose Mathematics and 18 chose Physics, while 7 chose neither subject. How many students chose both subjects?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf n(A) = 18, n(B) = 22, and n(A ∪ B) = 31, what is n(A \ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf \(U=\{1,2,\ldots,40\}\), \(A=\{x:x\in U,\ 2\mid x\}\), \(B=\{x:x\in U,\ 3\mid x\}\), and \(C=\{x:x\in U,\ 5\mid x\}\), then what is \(n(A\cup B\cup C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf \(n(A\cup B\cup C)=86\), \(n(A)=38\), \(n(B)=34\), \(n(C)=31\), \(n(A\cap B)=12\), \(n(B\cap C)=10\), and \(n(C\cap A)=9\), what is the value of \(n(A\cap B\cap C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium 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 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 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 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 \(n(U)=120\), \(n(A)=70\), \(n(B)=65\), and \(n(A\cap B)=40\), what is the value of \(n(A'\cap B')\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf n(A) = 40, n(B) = 36, n(C) = 28, n(A ∩ B) = 14, n(B ∩ C) = 10, n(C ∩ A) = 12, and n(A ∩ B ∩ C) = 5, then what is n((A ∪ B ∪ C) − C)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Hard MathematicsIf n(A) = 52, n(B) = 47, n(A ∩ B) = 21, and n(U) = 80, what is n((A ∪ B)')?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Medium MathematicsIf n(A) = 45, n(B) = 38, and n(A ∪ B) = 63, find n(A ∩ B).Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Hard