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JEE Math Practice Question

Let $$R$$ be a relation on $$Z \times Z$$ defined by $$(a, b) R(c, d)$$ if and only if $$a d-b c$$ is divisible by 5. Then $$R$$ is

  1. A.Reflexive and transitive but not symmetric
  2. B.Reflexive and symmetric but not transitive
  3. C.Reflexive but neither symmetric nor transitive
  4. D.Reflexive, symmetric and transitive

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