MCQMediumJEE Main 2023 · 6 April, Shift 2Simple Applications

Mathematics Question from JEE Main 2023 · 6 April, Shift 2

Among the statements:

(S1): 20232022199920222023^{2022} - 1999^{2022} is divisible by 88

(S2): 13(13)n11n1313(13)^{n} - 11n - 13 is divisible by 144144 for infinitely many nNn \in \mathbb{N}

Then:

  • A

    only (S1) is correct

  • B

    only (S2) is correct

  • C

    both (S1) and (S2) are incorrect

  • D

    both (S1) and (S2) are correct

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