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JEE Math Practice Question

Let R be a relation defined on $$\mathbb{N}$$ as $$a\mathrm{R}b$$ if $$2a+3b$$ is a multiple of $$5,a,b\in \mathbb{N}$$. Then R is

  1. A.an equivalence relation
  2. B.non reflexive
  3. C.symmetric but not transitive
  4. D.transitive but not symmetric

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