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Positive Integers

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

MathematicsOn positive integers, (a*b=\gcd(a,b)) is defined. Does this operation have an identity element?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn positive integers, (a*b=\operatorname{lcm}(a,b)) is defined. What is the identity element of this operation?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn positive integers, (aRb) if and only if (a) and (b) have the same power of (2), that is, (a=2^k m) and (b=2^k n), where (m,n) are odd. What forms the equivalence class of (12)?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn positive integers, (aRb) if and only if (a) and (b) have the same last digit. What forms the equivalence class of (102)?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn positive integers, (aRb) if (a) divides (b). What type of relation is it?Class 12Relations and FunctionsTypes of relationsMedium