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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।

MathematicsIf (A ∪ B)' = ∅ and A ∩ B = ∅, then B is equal to what?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf U = {x : x ∈ N, x ≤ 100} and A = {x : x is not divisible by 2}, then A' is the set of what?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf U = {1, 2, ..., 25}, A = {x : x is odd} and B = {x : x is a perfect square}, what is |A' ∩ B|?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf \(A\cap B=A\cap C\) and \(A'\cap B=A'\cap C\), what is the correct conclusion about \(B\) and \(C\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Hard MathematicsIf \(U=\mathbb{R}\) and \(A=\{x:x^2<16\}\), what is \(A'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf the universal set is \(U=\mathbb{R}\) and \(A=\{x\in\mathbb{R}:x<2\text{ or }x\ge8\}\), what is \(A'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf \(U=\{1,2,\ldots,10\}\), \(A=\{1,2,3,4\}\), and \(B=\{3,4,5,6\}\), what is \(A'\Delta B'\) equal to?Class 10SetsComplement of a Set and Its PropertiesLevel 19Hard MathematicsIf \(U=\{x:x\in\mathbb{Z},0\le x\le15\}\) and \(A=\{x:x\text{ is prime}\}\), which element must be in \(A'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIn a universal set \(U\) of 120 students, 70 study mathematics, 65 study physics, and 30 study both. How many study neither mathematics nor physics?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf \(U=\{1,2,\ldots,60\}\), \(A\) is the set of multiples of 3, \(B\) the set of multiples of 4, and \(C\) the set of multiples of 5, what is \(|(A\cup B\cup C)'|\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Hard MathematicsIf \(A'=B'\), what is the correct conclusion for \(A\) and \(B\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf U = {1, 2, ..., 12}, A = {1, 3, 5, 7, 9, 11}, and B = {2, 3, 5, 7, 11}, what is (A′ ∪ B′)′?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf \(U=\mathbb{R}\) and \(A=\{x:x^2-5x+6=0\}\), which is the correct description of \(A'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf U = {x : x ∈ ℕ, x ≤ 40}, A is the set of numbers divisible by 4, and B is the set of numbers divisible by 6, what is |(A ∩ B)′|?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf A ∪ A′ = U and A ∩ A′ = ∅, what kind of set is A′ with respect to A?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf U = {a, b, c, d, e, f, g, h}, A' = {b, d, f, h}, and B = {a, b, c, d}, what is A ∩ B'?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf U = {1, 2, ..., 50}, A is the set of multiples of 2, and B is the set of multiples of 5, what is |A' ∩ B'|?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf (A ∩ B)′ = A′ ∩ B′ holds in a universal set U, what can be said about A and B?Class 10SetsComplement of a Set and Its PropertiesLevel 10Hard MathematicsIf A' ∩ B' = ∅, what is the correct conclusion about A ∪ B?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf U = R, A = (−∞, 3), and B = [1, ∞), what is (A ∩ B)'?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium