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Finite And Infinite Sets

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf \(A=\{-2,-1,0,1,2\}\) and \(B=\{-1,0,1\}\), how many ordered pairs \((x,y)\) in \(A\times B\) satisfy \(x+y=0\)?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 10Easy MathematicsIf \(A=\{0,1,2\}\) and \(B=\{-1,0,1\}\), how many ordered pairs \((x,y)\) in \(A\times B\) satisfy \(x^2+y^2=1\)?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 10Medium MathematicsIf A = {1, 2, 3, 4, 5} and B = {1, 2, 3}, how many ordered pairs (x, y) in A × B satisfy x = 2y - 1?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 22Medium MathematicsIf \(\mathcal{P}(A\cap B)=\{\varnothing\}\), what is \(A\cap B\)?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 18Medium MathematicsWhich expression is equal to A ∩ (B ∪ C)?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 18Medium MathematicsIf \(A=\{1,2,3,4\}\) and \(B=\{4,5,6\}\), what is \(n(A\cup B)\)?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 10Easy MathematicsIf \(A=\{1,2,3\}\) and \(B=\{3,2,1\}\), what is \(A\cap B\)?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 16Easy MathematicsIf n(U) = 180, n(A) = 109, and n(B) = 97, what is the minimum possible value of n(A ∪ B)?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 15Easy MathematicsIf n(A − B)=0 and n(A)>0, which relation between A and B is necessarily true in the Venn diagram?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 14Easy MathematicsIf A ⊆ B and B ⊆ U, why is B′ ⊆ A′ true?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 10Hard MathematicsIf A = ∅ and the universal set is U, what is A' equal to?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 10Easy MathematicsIf \(A=\{\{2\},4,6\}\), what is \(n(A)\)?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 10Easy MathematicsIf A = {{1}, 2}, what is n(A)?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 9Easy MathematicsIf A = {2, 4, 6, 8} and B = {x : x = 2n, n ∈ {1, 2, 3, 4}}, which relation is correct?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 7Easy MathematicsIf ∅ ∈ A, which conclusion is always correct?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 9Easy MathematicsIf \(\{a+2\}=\{9\}\), what is the value of \(a\)?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 9Easy MathematicsIf \(A=\{x:x\in\mathbb{Z},\;-3<x\le 2\}\), which of the following sets is equal to \(A\)?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 9Easy MathematicsIf {a, 4} = {2, b} and a ≠ 4, which ordered pair (a, b) is correct?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 6Medium MathematicsIf the singleton sets {2a + 1} and {7} are equal, what is the value of a?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 6Easy MathematicsIf \(A\) and \(B\) are finite and \(n(A)=n(B)\), must \(A=B\) always hold?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 8Easy