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Mathematics

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 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 MathematicsWhich expression is equal to \(A\setminus(B\cap C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Hard MathematicsIf 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 18Medium MathematicsIf A = (−∞, 3] and B = [1, ∞), what is A ∪ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Easy MathematicsIf A = [−2, 4] and B = (1, 6), what is A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Easy 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 MathematicsIf α and β are roots of x² + 3x − 18 = 0, what is αβ − α − β?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 29Hard MathematicsIf x = 1 is not a root of kx² − 5x + 2 = 0, what condition must k satisfy?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 29Hard MathematicsIn which option will the given equation not remain quadratic?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf one root of x² + ax + 12 = 0 is 3, what are the other root and a?Class 10Quadratic EquationsNature of RootsLevel 29Hard MathematicsWhich equation has discriminant −15?Class 10Quadratic EquationsNature of RootsLevel 29Hard MathematicsIf (m² − 9)x² + 4x − 5 = 0 is a quadratic equation, what is the correct condition on m?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf A ⊆ B and C ∩ B = ∅, then (A ∪ C) ∩ B is equal to which set?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium 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 A = {x ∈ ℝ : −3 ≤ x < 5}, B = {x ∈ ℝ : 1 < x ≤ 8}, and C = {x ∈ ℝ : x ≤ 2}, what is (A ∪ B) ∩ C?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf A = {x ∈ ℤ : −7 ≤ x ≤ 7}, B = {x ∈ ℤ : x² ≤ 16}, and C = {x ∈ ℤ : 3 divides x}, what is (A − B) ∩ C?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Hard MathematicsIf \(A=\{x\in\mathbb{R}:x\ge 2\}\), \(B=\{x\in\mathbb{R}:x<6\}\), and \(C=\{x\in\mathbb{R}:x=4\}\), what is \((A\cap B)-C\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium 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 A = {x ∈ R : x ≠ 0} and B = {x ∈ R : x² > 0}, what is A △ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium