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

MathematicsIn the divisibility relation on ({1,2,3,6}), what are the least and greatest elements respectively?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsOn (A={1,2,3,4}), if (aRb) when (a) divides (b), which pair will not be in (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsOn (A={1,2,3,4}), if (aRb) when (a+b) is odd, which statement about (R) is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsOn (A={1,2,3,4}), if (aRb) when (a+b) is even, how many pairs are in (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsIf (aRb) on (A={1,2,3,4,5,6,7}) when (a-b) is divisible by (4), what is the equivalence class of (3)?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsIf (aRb) on (A={1,2,3,4,5,6}) when (a\equiv b \pmod{3}), what is the equivalence class of (1)?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsFor the partition ({{1,2,3},{4}}) of (A={1,2,3,4}), how many pairs are in the equivalence relation formed by it?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsFor the partition ({{1,4},{2,3}}) of (A={1,2,3,4}), how many pairs are in the equivalence relation formed by it?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsIf (R={(1,2),(2,3),(3,4)}), which additional pairs must appear in the transitive closure?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsFor (R={(1,1),(2,2),(3,3),(1,2),(2,3)}) on (A={1,2,3}), which minimum pair must be added to make it transitive?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsIf (A) has (3) elements, what is the number of reflexive and antisymmetric relations on (A)?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsIf (A) has (3) elements, how many relations on (A) are both symmetric and antisymmetric?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsIf (A) has (3) elements, how many relations on (A) are both reflexive and symmetric?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1)}). What are the equivalence classes?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(1,3)}). Is this relation antisymmetric?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn (A={1,2,3}), relation (R=A\times A). Which relation is it?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsIf (A={1,2,3}) and (B={4,5}), what is the total number of relations from (A) to (B)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsHow many ordered pairs are in the identity relation on (A={1,2,3,4})?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1)}). Why is it not an equivalence relation?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsIf (R) is an equivalence relation and (aRb), what is true about ([a]) and ([b])?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard