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Modulo 2

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

MathematicsOn (A={0,1}), (a*b) is the remainder when (a+b) is divided by (2). Which statement is correct for this operation?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn the set ({0,1}), (a*b) is the remainder of (a+b) on division by (2). What is the inverse of (1)?Class 12Relations and FunctionsBinary operationsEasy MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if (a) and (b) leave the same remainder on division by (2). What is the quotient set (A/R)?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn (A={1,2,3,4,5}), the relation is (R={(a,b):a\equiv b \pmod{2}}). How many ordered pairs are in this relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn (A={1,2,3,4,5,6,7}), (aRb) if and only if (a) and (b) leave the same remainder on division by (2). Which statement about ((4,7)) is correct?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn (A={1,2,3,4,5,6}), (aRb) holds when (a\equiv b \pmod{2}). Which partition is formed by this relation?Class 12Relations and FunctionsEquivalence relationMedium MathematicsOn (A={1,2,3,4,5,6}), (aRb) holds when (a) and (b) have the same remainder on division by (2). Which pair is not in (R)?Class 12Relations and FunctionsEquivalence relationMedium MathematicsOn integers, (aRb) when (a\equiv b \pmod{2}). Which classes are formed?Class 12Relations and FunctionsEquivalence relationEasy MathematicsOn (A={1,2,3,4,5,6}), (aRb) when (a) and (b) leave the same remainder on division by (2). What is the equivalence class of (3)?Class 12Relations and FunctionsEquivalence relationEasy MathematicsOn (A={1,2,3,4,5}), (aRb) when (a) and (b) give the same remainder on division by (2). What is the equivalence class of (4)?Class 12Relations and FunctionsEquivalence relationEasy MathematicsOn (A={1,2,3,4}), (R) contains pairs whose two numbers have the same remainder on division by (2). What is the equivalence class of (1)?Class 12Relations and FunctionsEquivalence relationEasy MathematicsOn integers, (aRb) if (a\equiv b \pmod{2}). What is the equivalence class of (1)?Class 12Relations and FunctionsEquivalence relationEasy MathematicsOn integers, (aRb) if (a\equiv b \pmod{2}). What is the equivalence class of (0)?Class 12Relations and FunctionsEquivalence relationEasy MathematicsOn (A={1,2,3,4,5,6}), (R={(a,b):a) and (b) leave the same remainder when divided by (2)(}). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4,5,6}), (R={(a,b):a\equiv b \pmod{2}}). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a\text{ and }b\text{ have the same remainder modulo }2}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationEasy MathematicsOn (A={1,2,3}), (R={(a,b):a) and (b) leave the same remainder when divided by (2)(}). Which pair will definitely be in (R)?Class 12Relations and FunctionsReflexive relationMedium MathematicsIf (A={1,2,3,4}) and (R) is defined by having the same remainder when divided by (2), how many classes does (R) form?Class 12Relations and FunctionsTypes of relationsMedium MathematicsIf (aRb) on (A={1,2,3,4,5,6}) when (a\equiv b \pmod{2}), how many pairs are in (R)?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn (A={1,2,3,4}), if (aRb) when (a\equiv b \pmod{2}), what is the equivalence class of (1)?Class 12Relations and FunctionsIntroduction to RelationsMedium