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JEE Math Practice Question

Among the statements : (S1) : $$2023^{2022}-1999^{2022}$$ is divisible by 8 (S2) : $$13(13)^{n}-12 n-13$$ is divisible by 144 for infinitely many $$n \in \mathbb{N}$$

  1. A.both (S1) and (S2) are incorrect
  2. B.only (S1) is correct
  3. C.only (S2) is correct
  4. D.both (S1) and (S2) are correct

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