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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 = ∅, n(A) = p, and n(B) = q, what is n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy 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 \(n(A\cup B)=70\), \(n(A\setminus B)=22\), and \(n(B\setminus A)=31\), then what is \(n(A\cap B)\)?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 MathematicsIf \(n(A)=18\), \(n(B)=25\), and \(n(A\cup B)=25\), then what is \(n(A\setminus B)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf \(A\) and \(B\) are finite sets, which is the correct formula for \(n(A\setminus B)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf A = {a, b, c, d} and B = {c, d, e}, how many elements does P(A ∩ B) contain?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsLet \(U=\{1,2,\ldots,50\}\), \(A=\{x:x\in U,\ 4\mid x\}\), and \(B=\{x:x\in U,\ 6\mid x\}\). What is \(n(A\cap B)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf n(A \ B) = 12, n(B \ A) = 9, and n(A ∩ B) = 6, what is the value of n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Easy 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 U = {1, 2, ..., 30}, A = {x : x ∈ U, 2 divides x}, and B = {x : x ∈ U, 5 divides x}, then what is n(A \ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIn a class of 64 students, 38 study Mathematics, 32 study Physics, and 20 study both subjects. How many students study exactly one subject?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 \(U=\{1,2,\ldots,20\}\), \(A=\{x:x\in U,\ x\text{ is even}\}\), 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 n(A − B) = 28 and n(A ∩ B) = 16, what is n(A)?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 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 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