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Modulo 3

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

MathematicsOn (A={0,1,2}), (a*b) is the remainder when (a+b) is divided by (3). What is the value of (2*2)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn the set ({0,1,2}), (a*b) is the remainder of (a+b) on division by (3). Which is the identity element?Class 12Relations and FunctionsBinary operationsEasy MathematicsOn (A={1,2,3,4,5}), (aRb) if and only if (|a-b|) is divisible by (3). What are the equivalence classes of this relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn (A={1,2,3,4,5,6}), (R={(a,b):a) and (b) leave the same remainder on division by (3)(}). How many ordered pairs are in (R)?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn (A={1,2,3,4,5,6,7,8,9}), (aRb) if and only if (a) and (b) leave the same remainder when divided by (3). How many ordered pairs are in this relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if (a\equiv b \pmod{3}). What are the distinct equivalence classes of this relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn (A={1,2,3,4,5,6,7,8,9}), (aRb) holds when the digit sums of (a) and (b) give the same remainder modulo (3). Which is the equivalence class of (8)?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn (A={1,2,3,4,5,6}), (aRb) holds when (a) and (b) have the same remainder modulo (3). What type of relation is the complement of (R)?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn (A={1,2,3,4,5,6}), (aRb) holds when (a\equiv b \pmod{3}). How many pairs are in this relation?Class 12Relations and FunctionsEquivalence relationMedium MathematicsOn (A={1,2,3,4,5,6}), (aRb) holds when (a) and (b) give the same remainder on division by (3). Which statement is correct?Class 12Relations and FunctionsEquivalence relationMedium MathematicsOn (A={1,2,3,4,5,6}), (aRb) holds when (a\equiv b \pmod{3}). How many equivalence classes are formed?Class 12Relations and FunctionsEquivalence relationMedium MathematicsOn (A={0,1,2,3,4,5}), (aRb) when (a \equiv b \pmod{3}). What is the equivalence class of (0)?Class 12Relations and FunctionsEquivalence relationEasy MathematicsOn (A={1,2,3,4,5,6}), (aRb) when (a \equiv b \pmod{3}). Which is the equivalence class of (4)?Class 12Relations and FunctionsEquivalence relationEasy MathematicsOn (A={0,1,2,3,4,5}), (aRb) when (a \equiv b \pmod{3}). Which is the equivalence class of (2)?Class 12Relations and FunctionsEquivalence relationEasy MathematicsIn (A={1,2,3,4,5,6}), under the same remainder modulo (3) relation, what is the equivalence class of (3)?Class 12Relations and FunctionsEquivalence relationEasy MathematicsIn (A={1,2,3,4,5,6}), under the same remainder modulo (3) relation, what is the equivalence class of (2)?Class 12Relations and FunctionsEquivalence relationEasy MathematicsIn (A={1,2,3,4,5,6}), (aRb) if (a) and (b) have the same remainder when divided by (3). What is the class of (1)?Class 12Relations and FunctionsEquivalence relationEasy MathematicsOn integers, (aRb) if (a\equiv b \pmod{3}). How many equivalence classes are there?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 (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) leave the same remainder on division by (3). Choose the correct option for (R).Class 12Relations and FunctionsTransitive relationHard