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

MathematicsIf \(U=\{x:x\in\mathbb N, x\le 50\}\) and \(A=\{x:x\text{ is not a prime number}\}\), then \(A'\) is the set of what?Class 12SetsLevel 21EasyMathematicsIf A = {x : x ∈ N, x ≤ 4} and B = {3, 4, 5, 6}, where N = {1, 2, 3, ...}, what is A ∪ B?Class 12SetsLevel 18EasyMathematicsIf \(U=\mathbb{N}\) and \(A=\{x:x\in\mathbb{N},\ x\le 100\}\), what is \(A'\)?Class 12SetsLevel 8MediumMathematicsIf A = {x : x ∈ N, 10 < x < 16} and B = {11, 12, 13, 14, 15}, which statement is correct?Class 12SetsLevel 9EasyMathematicsWhat is the set A = {x ∈ ℕ : x is a factor of every natural number}?Class 12SetsLevel 5MediumMathematicsIf J₁ = {x : x ∈ ℕ and x is a perfect cube less than 100}, what are the elements of J₁?Class 12SetsLevel 4EasyMathematicsOn natural numbers, (a*b=a-b) is defined. Why is it not a binary operation?Class 12Relations and FunctionsBinary operationsLevel 29ExpertMathematicsOn natural numbers, (a*b=a^b) is defined. Which statement about commutativity of this operation is correct?Class 12Relations and FunctionsBinary operationsLevel 29ExpertMathematicsOn (\mathbb{N}), (a*b=\gcd(a,b)). Does the identity element lie in (\mathbb{N})?Class 12Relations and FunctionsBinary operationsLevel 28ExpertMathematicsOn (\mathbb{N}), (a*b=\operatorname{lcm}(a,b)). What is the identity element?Class 12Relations and FunctionsBinary operationsLevel 28ExpertMathematicsOn natural numbers, (a*b=a+b-2). When does this operation fail to be closed on natural numbers?Class 12Relations and FunctionsBinary operationsLevel 29HardMathematicsOn natural numbers, (a*b=a^b). Which statement is correct?Class 12Relations and FunctionsBinary operationsLevel 29HardMathematicsOn natural numbers, (a*b=a^b). Which property does this operation not satisfy?Class 12Relations and FunctionsBinary operationsLevel 29HardMathematicsOn natural numbers, (a*b=\frac{a+b}{2}) is defined. Is this a binary operation?Class 12Relations and FunctionsBinary operationsLevel 30MediumMathematicsOn natural numbers, (a*b=a+b) is defined. Is this a binary operation?Class 12Relations and FunctionsBinary operationsLevel 30MediumMathematicsOn natural numbers, (a*b=a-b). Is this operation closed on natural numbers?Class 12Relations and FunctionsBinary operationsLevel 29MediumMathematicsOn natural numbers, (a*b=a+b). Is this operation closed on natural numbers?Class 12Relations and FunctionsBinary operationsLevel 29MediumMathematicsOn natural numbers, (a*b=a-b) is given. Which example disproves closure?Class 12Relations and FunctionsBinary operationsLevel 28MediumMathematicsWhich rule gives a closed operation on the set (N) of natural numbers?Class 12Relations and FunctionsBinary operationsLevel 30EasyMathematicsOn the set of natural numbers (N), the operation (a\ast b=a-b) is given. Is it a binary operation on (N)?Class 12Relations and FunctionsBinary operationsLevel 29Easy