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Divisibility

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

MathematicsIf (A={1,2,3,4,5,6}) and (R={(a,b):a\mid b^2}), why is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsIf (A={1,2,3,4,5,6}) and (R={(a,b):a^2+b^2\text{ is divisible by }10}), how many diagonal pairs are already in (R)?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsLet (A={1,2,3,4,5,6,7,8}) and (R={(a,b)\in A\times A:a+b\text{ is divisible by }6}). What is the minimum number of pairs needed to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsOn (A={1,2,3,4,5,6}), (R={(a,b):a-b\text{ is divisible by }6}). What is the basis for (R) being reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+1\mid b+1}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsIf (A={1,2,3,4,5}) and (R={(a,b):a\mid b+1}), how many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsOn (A={1,2,3,4}), (R={(a,b):a\mid b\text{ and }b\mid a}). Which statement about (R) is correct?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsIf (A={1,2,3,4,5}) and (R={(a,b):a^2+b^2\text{ is divisible by }5}), how many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsLet (A={1,2,3,4,5,6}) and (R={(a,b)\in A\times A:a+b\text{ is divisible by }4}). What is the minimum number of pairs required to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsOn (A={2,4,6,8}), (R={(a,b):a\text{ divides }b}) is given. Why is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Expert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a-b\text{ is divisible by }3}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Expert MathematicsIf (A={2,3,5,7}) and (R={(a,b):a\text{ divides }b}), how many minimum pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Hard MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a-b\text{ is divisible by }4}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsOn (A={1,2,3,4}), (R={(a,b):a\mid b}). Why is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Medium MathematicsOn (A={1,2,3,4}), (R={(a,b):a-b\text{ is divisible by }2}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Medium MathematicsIf (A={2,3,4,6}) and (R={(a,b):a\text{ divides }b}), why is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Medium MathematicsOn integers, (R={(a,b):a-b) is divisible by (3)(}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsLet A = {1, 2, 3} and R = {(a, b) : a divides b}. Is R reflexive on A?Class 12Relations and FunctionsReflexive relationLevel 9Easy MathematicsOn natural numbers, (R={(a,b):a) divides (b)(}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Easy MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if both (a,b) are multiples of (3), or both are not multiples of (3). How many ordered pairs are in the relation?Class 12Relations and FunctionsTypes of relationsLevel 6Expert