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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 = {x ∈ R : −1 < x ≤ 5} and B = {x ∈ R : 2 ≤ x < 7}, then what is A \ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18MediumMathematicsIf A = {x ∈ R : x² ≤ 16} and B = {x ∈ R : x > 1}, what is the interval form of A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18MediumMathematicsIf A = {x ∈ R | x² − 5x + 6 = 0} and B = {x ∈ R | x² − 4x + 3 = 0}, what is A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18MediumMathematicsIf 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 18MediumMathematicsIn 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 18MediumMathematicsIn 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 18MediumMathematicsIf \(n(A\cup B)=75\), \(n(A\cap B)=18\), and \(n(A)=46\), what is the value of \(n(B)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18MediumMathematicsWhich expression is equal to \(A\setminus(B\cup C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18HardMathematicsWhich expression is equal to \(A\setminus(B\cap C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18HardMathematicsIf \(A\setminus B=\varnothing\) and \(B\setminus A=\varnothing\), what is the relation between \(A\) and \(B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18MediumMathematicsAssume that \(\mathbb{N}=\{1,2,3,\ldots\}\). If \(A=\{x\in\mathbb{N}\mid x\le 12\}\) and \(B=\{x\in\mathbb{N}\mid x\text{ is prime}\}\), with \(B\) restricted to \(A\), what is \(A\setminus B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18MediumMathematicsIf \(A\cup B=A\cap B\), which of the following conclusions is always true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18HardMathematicsIf \(n(A)=30\), \(n(B)=24\), and \(n(A\setminus B)=18\), what is the value of \(n(A\cup B)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18MediumMathematicsIf \(A\cap B=A\) and \(A\cup B=B\), which of the following is the correct conclusion?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18MediumMathematicsIf \(A\subseteq B\), then what is \(A\cup(B\setminus A)\) equal to?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18MediumMathematicsIf \(U=\{1,2,\ldots,20\}\), \(A=\{x:x\in U,\ x\text{ is even}\}\), 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 18MediumMathematicsIf A = {2, 4, 6, 8, 10, 12}, B = {3, 6, 9, 12, 15}, and C = {6, 12, 18}, what is (A ∩ B) − C?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18MediumMathematicsIf A = (−∞, 3] and B = [1, ∞), what is A ∪ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18EasyMathematicsIf A = [−2, 4] and B = (1, 6), what is A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18EasyMathematicsIf \(A=\{x\in\mathbb{Z}:-3\le x\le 5\}\) and \(B=\{x\in\mathbb{Z}:x^2\le 9\}\), what is \(A\setminus B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Easy