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Modulo Relation

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

MathematicsOn (A={1,2,3,4,5,6}), (R={(a,b):a\equiv b \pmod{3}}). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4,5,6}), (aRb) if (a) and (b) have the same remainder when divided by (2). What is (R)?Class 12Relations and FunctionsTransitive relationHard MathematicsOn integers, (aRb) if (a-b) is divisible by (3). Choose the correct option about transitivity of (R).Class 12Relations and FunctionsTransitive relationHard MathematicsOn integers, (aRb) if (a \equiv b \pmod{3}). What type of relation is (R)?Class 12Relations and FunctionsTransitive relationMedium MathematicsOn integers, (R={(a,b):a-b) is divisible by (3)(}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationMedium MathematicsIf (A={1,2,3,4}) and (R={(a,b):a) and (b) have the same remainder when divided by (2)(}), choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationHard MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a\equiv b \pmod{2}}). Why is (R) symmetric?Class 12Relations and FunctionsSymmetric relationHard MathematicsFor (R={(a,b):a\equiv b \pmod{3}}) on (A={1,2,3,4,5}), which statement is correct?Class 12Relations and FunctionsSymmetric relationMedium MathematicsOn (A={1,2,3,4,5,6,7,8}), (R={(a,b):a\equiv b \pmod{4}}). How many total pairs will (R) have?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={1,2,3,4}), (R={(a,b):a \equiv b \pmod{2}}). Which statement is correct for (R)?Class 12Relations and FunctionsReflexive relationEasy MathematicsIn (A={1,2,3,4,5,6}), for the same-remainder modulo (3) relation, what is the class of (2)?Class 12Relations and FunctionsTypes of relationsMedium MathematicsOn integers, (aRb) if (a-b) is divisible by (4). Which is the equivalence class of (1)?Class 12Relations and FunctionsTypes of relationsMedium MathematicsWhich relation is not a partial order but is an equivalence relation?Class 12Relations and FunctionsTypes of relationsMedium MathematicsIf (aRb) means (a) and (b) have the same remainder when divided by (5), what type of relation is it?Class 12Relations and FunctionsTypes of relationsMedium MathematicsOn integers, (aRb) if (a-b) is divisible by (3). What type of relation is this?Class 12Relations and FunctionsTypes of relationsMedium MathematicsIf (aRb) on (A={1,2,3,4,5,6}) when (a\equiv b \pmod{3}), what is the equivalence class of (1)?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn integers, (aRb) if (a-b) is divisible by (5). In which class will (7) lie?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsOn the set of integers, (aRb) if (a-b) is divisible by (3). What type of relation is this?Class 12Relations and FunctionsIntroduction to RelationsMedium