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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।

MathematicsOn (A={1,2,4,8,16}), (aRb) if (b/a) is an integer. What is the correct conclusion for (R)?Class 12Relations and FunctionsTransitive relationLevel 15Hard MathematicsOn (A={1,2,3,4,6,12}), (aRb) if the greatest common divisor of (a) and (b) is (a). This relation corresponds to which idea?Class 12Relations and FunctionsTransitive relationLevel 15Hard MathematicsOn integers, (aRb) if (a-b) is divisible by (6). What type of relation is (R)?Class 12Relations and FunctionsTransitive relationLevel 14Hard MathematicsOn natural numbers, (aRb) if (a) is a factor of (b). What type of relation is it?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsOn integers, (aRb) if (a-b) is divisible by (4). What type of relation is it?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsOn natural numbers, the relation (aRb) if (a) divides (b) is what type of relation?Class 12Relations and FunctionsTransitive relationLevel 15Medium MathematicsConsider the relation (R={(a,b):a) divides (b}) on the set of natural numbers. What type of relation is it?Class 12Relations and FunctionsTransitive relationLevel 14Medium MathematicsOn the set of natural numbers, define (aRb) if (a) divides (b). What kind of relation is this?Class 12Relations and FunctionsTransitive relationLevel 13Medium MathematicsOn integers, (aRb) means (a\mid b). Why is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 15Easy MathematicsOn natural numbers, (R={(a,b):a\mid b}). What is correct about (R)?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsOn (A={1,2,3,4}), (R={(a,b):a\mid b}). Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12Expert MathematicsWhy is (R={(a,b):a\mid b}) on natural numbers not symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsOn (A={1,2,3,4}), relation (R={(a,b):a-b\text{ is divisible by }2}) is given. Choose the correct option for (R).Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsOn (A={1,2,3,4}), (R={(a,b):a-b\text{ is divisible by }2}). Choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationLevel 11Hard MathematicsOn (A={1,2,3,4}), (R={(a,b):a\text{ divides }b}). Choose the correct option for (R).Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsOn (A={1,2,3,4,5,6}), (R={(a,b):a-b\text{ is divisible by }7}). What fact proves that (R) is reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsOn (A={1,2,3,4,6,12}), (R={(a,b):a\mid b\text{ or }b\mid a}). What is the reason for (R) being reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsIf (A={1,2,3,4,5}) and (R={(a,b):a=b\text{ or }a+b\text{ is divisible by }3}), what is (R) with respect to reflexivity?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsIf (A={1,2,3,4,5,6}) and (R={(a,b):a+1\mid b+1}), why is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Expert MathematicsOn (A={1,2,3,4,5,6}), (R={(a,b):a+1\mid b}). How many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationLevel 9Expert