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Odd Square

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

MathematicsIf (n) is an odd integer, then (n^2) is odd. This fact is especially useful in which proof?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsWhich option correctly explains the parity idea in the proof for (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIf (n) is odd, then (n^2) is odd. In which proof is this fact used directly?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhich statement is correct if (n) is an odd integer?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf a number leaves remainder 1, 3, 5, or 7 when divided by 8, what is the remainder when its square is divided by 8?Class 10Real NumbersEuclid’s Division LemmaLevel 3Hard MathematicsIf a number is of the form (4q+1), what is the remainder when its square is divided by 8?Class 10Real NumbersEuclid’s Division LemmaLevel 2Hard MathematicsA number leaves remainder 1 or 3 when divided by 4. What will be the remainder when its square is divided by 4?Class 10Real NumbersEuclid’s Division LemmaLevel 1Hard