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Logical Reasoning

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

MathematicsIf A = {1, 3, 5, 7} and B = {1, 3, 5}, why is A ⊆ B false?Class 10SetsEqual sets and SubsetsLevel 8Easy MathematicsIf A = {x ∈ ℕ : x is divisible by 2 and x is odd}, what is A?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 5Easy MathematicsIn the proof for (\sqrt{2}), (p^2=2q^2) shows (p^2) is even. If (p) is assumed odd, what problem occurs?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsWhich statement justifies that (a) is even when (a^2) is even in the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium MathematicsA student writes in the proof of (\sqrt{2}) that (p^2) is even so (p) is even. Why is this step correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Medium MathematicsIf (\sqrt{x}) is irrational then which conclusion is always correct?Class 10Real NumbersIrrational numbersLevel 15Expert