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Mathematics

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf A = {1, 2, 4, 8, 16, 32} and B = {x | x ∈ A, x < 10}, what is A \ B?Class 12SetsLevel 10Easy MathematicsIf A \ B = B, which conclusion must be true?Class 12SetsLevel 18Hard MathematicsIf A and B are finite sets, n(A \ B) = 12, n(B) = 20, and n(A ∩ B) = 8, what is n(A ∪ B)?Class 12SetsLevel 16Medium MathematicsIf A \ (B \ C) is simplified, which form is correct?Class 12SetsLevel 16Hard MathematicsIf A ⊆ B', which statement is correct?Class 12SetsLevel 16Medium MathematicsIf A = {x ∈ R : x² < 9} and B = {x ∈ R : x ≥ 1}, what is A ∩ B?Class 12SetsLevel 10Medium MathematicsIf \(A=\{x:x\in\mathbb{Z},-5\le x<3\}\) and \(B=\{x:x\in\mathbb{Z},-2<x\le 6\}\), then what is \(A\cup B\)?Class 12SetsLevel 18Medium MathematicsIf A \ B = A, which statement is always true?Class 12SetsLevel 18Medium MathematicsIf A − B = A and B − C = B, which of the following statements must be true?Class 12SetsLevel 10Medium MathematicsIf \(A=\{x\in\mathbb{Z}\mid -4\le x\le4\}\) and \(B=\{x\in\mathbb{Z}\mid x^2\ge9\}\), what is \(A\cap B\)?Class 12SetsLevel 10Medium MathematicsLet \(A=\{x\in\mathbb{Z}:-5\le x\le5\}\) and \(B=\{x\in\mathbb{Z}:x\text{ is odd}\}\). What is \(A\cap B\)?Class 12SetsLevel 16Easy MathematicsIn a class of 60 students, 34 study Mathematics, 28 study Physics, and 12 study both. How many students study only Mathematics?Class 12SetsLevel 10Easy MathematicsLet U = {1, 2, ..., 12}, A = {2, 4, 6, 8, 10, 12}, and B = {3, 6, 9, 12}. What is (A ∪ B)′?Class 12SetsLevel 16Hard MathematicsIf A = {2, 4, 6, 8, 10}, B = {1, 2, 3, 4, 5}, and C = {4, 5, 6, 7}, what is A ∩ (B ∪ C)?Class 12SetsLevel 10Medium MathematicsIf \(A=\{1,2,3,4,5,6,7\}\) and \(B=\{2,4,6,8\}\), what is \((A-B)\cup(B-A)\)?Class 12SetsLevel 18Medium MathematicsIf n(A − B) = 13 and n(A ∩ B) = 7, what is n(A)?Class 12SetsLevel 18Easy MathematicsIf n(A \ B) = 17 and n(A ∩ B) = 11, what is n(A)?Class 12SetsLevel 17Medium MathematicsIf A = {x ∈ Z : −4 ≤ x ≤ 1} and B = {x ∈ Z : −1 ≤ x ≤ 4}, what is A ∪ B?Class 12SetsLevel 17Easy MathematicsIn a survey, 28 students use the bus, 14 use a bicycle, and 9 use both methods. How many use only a bicycle?Class 12SetsLevel 18Easy MathematicsIf A = {x : x ∈ N, x ≤ 4} and B = {3, 4, 5, 6}, where N = {1, 2, 3, ...}, what is A ∪ B?Class 12SetsLevel 18Easy