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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={1,2,3,4}), (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 6Expert MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if both (a,b) are divisible by (2) or both (a,b) are divisible by (3). Choose the correct conclusion.Class 12Relations and FunctionsTypes of relationsLevel 6Expert MathematicsOn (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 5Expert MathematicsOn (A={1,2,3,4,6,12}), (aRb) if and only if (a) divides (b) and (b) divides (a). Choose the correct statement.Class 12Relations and FunctionsTypes of relationsLevel 5Expert MathematicsOn (A={1,2,3,4,6}), (aRb) if and only if (a\mid b). What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if both (a) and (b) are multiples of (3), or both are not multiples of (3). What are the equivalence classes?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if both (a) and (b) are multiples of (3), or both are not multiples of (3). What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsOn (A={1,2,3,4,5}), (aRb) if and only if (a-b) is divisible by (3). What is the equivalence class of (2)?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsOn integers, (aRb) if and only if (a-b) is divisible by (5). What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 5Hard MathematicsOn (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 4Hard MathematicsOn (A={1,2,3,4,6}), (aRb) if and only if (a) divides (b). What is the correct property of this relation?Class 12Relations and FunctionsTypes of relationsLevel 4Hard MathematicsOn the set (A={1,2,3,4}), the relation (R={(a,b):a) divides (b) exactly(}) is given. What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 4Hard MathematicsIn the divisibility relation on (A={1,2,3,6}), which pair must be present?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsOn positive integers, (aRb) if (a) divides (b). What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsOn natural numbers, (aRb) iff (a\mid b). Why is it not symmetric?Class 12Relations and FunctionsTypes of relationsLevel 5Easy MathematicsOn natural numbers, (aRb) iff (a) divides (b). What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 4Easy MathematicsOn integers, (aRb) iff (a-b) is divisible by (2). What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 4Easy MathematicsIn the divisibility relation on (A={1,2,4,8,16}), what is the greatest lower bound of (4) and (16)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsIn the divisibility relation on (A={1,2,4,8,16}), what is the least upper bound of (2) and (8)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsIn the divisibility relation on (A={1,2,3,6}), how many elements can a longest chain contain?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert