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Same Remainder

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

MathematicsOn all integers, (aRb) if and only if (a) and (b) leave the same remainder on division by (10). Choose the correct statement about (27) and (-13).Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn (A={1,2,3,4,5,6}), (aRb) holds when (a) and (b) have the same remainder on division by (5). How many pairs are in the relation?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn (A={1,2,3,4,5,6,7}), (aRb) holds when (a) and (b) have the same remainder on division by (3). Which is the equivalence class of (4)?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 (3). Which of the following pairs is not in (R)?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 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 (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}), (R={(a,b):a\le b\text{ and }a,b\text{ are in the same remainder class when divided by }3}). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationExpert 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}), (aRb) if (a) and (b) leave the same remainder on division by (3). Choose the correct option for (R).Class 12Relations and FunctionsTransitive relationHard 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 (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 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}), (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 MathematicsOn (A={1,2,3}), (R={(a,b):a) and (b) have the same remainder when divided by (2)(}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationEasy