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Divisibility Relation

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

MathematicsOn (A={1,2,3,4}), the relation (R={(a,b):a\mid b}) is defined. Choose the correct option about (R).Class 12Relations and FunctionsTransitive relationHard MathematicsFor the relation (R={(a,b):a) divides (b)(}) on natural numbers, what is the correct statement?Class 12Relations and FunctionsSymmetric relationHard MathematicsOn (A={1,2,3,4}), (R={(a,b):a\text{ divides }b}). Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationHard MathematicsOn (A={1,2,3,4}), (R={(a,b):a\mid b}). Which is the correct counterexample showing that (R) is not symmetric?Class 12Relations and FunctionsSymmetric relationHard MathematicsOn (A={1,2,3,4}), why is (R={(a,b):a\text{ divides }b}) not symmetric?Class 12Relations and FunctionsSymmetric relationMedium MathematicsOn natural numbers, (R={(a,b):a) is a proper divisor of (b)(}), where proper divisor means (a\ne b). What is (R)?Class 12Relations and FunctionsReflexive relationMedium MathematicsOn (A={1,2,3}), (R={(a,b):a) divides (b}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationEasy MathematicsOn (A={1,2,3,6}), (aRb) if (a) divides (b). Which statement is correct?Class 12Relations and FunctionsTypes of relationsMedium MathematicsOn natural numbers, (aRb) if (a) divides (b). Which property is correct?Class 12Relations and FunctionsTypes of relationsMedium MathematicsOn (A={1,2,3,6}), if (aRb) when (a) divides (b), how many pairs are in (R)?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn (A={1,2,3,4}), if (aRb) when (a) divides (b), which pair will not be in (R)?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIn the divisibility relation on ({1,2,3}), which is the least element?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsOn (A={1,2,3}), if (aRb) when (a) divides (b), which statement is correct?Class 12Relations and FunctionsIntroduction to RelationsMedium