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JEE Main Mathematics question

MathematicsSets and RelationJEE Main

Let . Let be the equivalence relation on defined by iff . Then the number of ordered pairs in the equivalence class of is

Answer: (C)

Solution

means , i.e. . Since 2 and 3 are coprime, must be a multiple of 3 and the matching multiple of 2: , for a positive integer . Both entries must lie in

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Question ID VK-007335