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Congruence Modulo

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

MathematicsOn integers, (aRb) is defined when (a \equiv b \pmod{5}). Is this relation transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn integers, (aRb) if (a \equiv b \pmod{5}). Which statement is correct about (R)?Class 12Relations and FunctionsTransitive relationHard MathematicsOn integers, relation (R) is defined by (aRb) if (a-b) is divisible by (5). Which statement is correct about (R)?Class 12Relations and FunctionsSymmetric relationExpert MathematicsOn (A={1,2,3,4}), (R={(a,b):a\equiv b \pmod{2}}). What is correct about (R)?Class 12Relations and FunctionsSymmetric relationExpert MathematicsOn integers, (R={(a,b):a-b\equiv 0 \pmod{5}}). Why is (R) symmetric?Class 12Relations and FunctionsSymmetric relationHard MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a\equiv b \pmod{2}}). Choose the correct option about (R).Class 12Relations and FunctionsSymmetric relationMedium MathematicsOn (A={1,2,3,4,5}), what type is (R={(a,b):a\equiv b \pmod{2}})?Class 12Relations and FunctionsSymmetric relationMedium MathematicsOn (A={1,2,3,4,5,6}), (R={(a,b):a\equiv b \pmod{3}}). 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}}). Reflexivity of (R) is based on which fact?Class 12Relations and FunctionsReflexive relationMedium