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Parity

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

MathematicsIf (A={1,2,3,4}) and (R={(a,b):a+b\text{ is odd}}), which statement is correct about (R)?Class 12Relations and FunctionsReflexive relationLevel 7ExpertMathematicsIf (A={1,2,3,4}) and (R={(a,b):a\text{ and }b\text{ have the same parity}}), why is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9HardMathematicsOn (A={1,2,3,4}), (R={(a,b):a) and (b) have the same parity(}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9MediumMathematicsOn (A={1,2,3,4}), (R={(a,b):a+b) is even(}). (R) is reflexive because which statement is true?Class 12Relations and FunctionsReflexive relationLevel 7MediumMathematicsOn (A={1,2,3,4}), (R={(a,b):a=b\text{ or }a+b\text{ is even}}). Choose the correct conclusion.Class 12Relations and FunctionsTypes of relationsLevel 6ExpertMathematicsOn (A={1,2,3,4,5}), (aRb) if and only if both (a,b) are odd or both are even. Choose the correct conclusion.Class 12Relations and FunctionsTypes of relationsLevel 6ExpertMathematicsOn (A={1,2,3,4}), (aRb) if and only if the difference between (a) and (b) is divisible by (2). Choose the correct conclusion.Class 12Relations and FunctionsTypes of relationsLevel 6ExpertMathematicsOn (A={1,2,3,4}), (aRb) if and only if (a-b) is even. How many ordered pairs will the relation contain?Class 12Relations and FunctionsTypes of relationsLevel 5ExpertMathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if both (a) and (b) are divisible by (2), or both are not divisible by (2). What is the equivalence class of (4)?Class 12Relations and FunctionsTypes of relationsLevel 5ExpertMathematicsOn (A={1,2,3,4,5}), (aRb) if and only if (a+b) is odd. Choose the correct statement.Class 12Relations and FunctionsTypes of relationsLevel 4ExpertMathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if both (a) and (b) are divisible by (2), or both are not divisible by (2). Choose the correct conclusion.Class 12Relations and FunctionsTypes of relationsLevel 5HardMathematicsOn (A={1,2,3,4,5}), (aRb) if and only if (a-b) is divisible by (2). What is the equivalence class of (3)?Class 12Relations and FunctionsTypes of relationsLevel 5HardMathematicsOn (A={1,2,3,4,5}), (aRb) if and only if (a+b) is odd. Choose the correct classification.Class 12Relations and FunctionsTypes of relationsLevel 5HardMathematicsOn (A={1,2,3,4,5}), (aRb) if and only if (a+b) is even. What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 5HardMathematicsOn (A={1,2,3,4}), (aRb) if and only if (a=b) or (a+b) is even. What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 4HardMathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if (a) and (b) have the same parity. What are its equivalence classes?Class 12Relations and FunctionsTypes of relationsLevel 4HardMathematicsOn (A={1,2,3,4}), (aRb) if and only if (a-b) is divisible by (2). Choose the correct statement.Class 12Relations and FunctionsTypes of relationsLevel 4HardMathematicsOn (A={1,2,3,4}), (R={(a,b):a+b) is even(}). Choose the correct answer.Class 12Relations and FunctionsTypes of relationsLevel 4HardMathematicsOn (A={1,2,3,4}), consider (R={(a,b):a-b) is even(}). Choose the correct type.Class 12Relations and FunctionsTypes of relationsLevel 4HardMathematicsOn integers, (aRb) iff (a) and (b) are both even or both odd. What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 6Easy