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Among the statements: \(\left({S}_{1}\right):{2023}^{2022}-{1999}^{2022}\) is divisible by 8 . \(\left({S}_{2}\right)\):…

Q1

Among the statements:
\(\left({S}_{1}\right):{2023}^{2022}-{1999}^{2022}\) is divisible by 8 .

\(\left({S}_{2}\right)\): \(13(13{)}^{n}-11n-13\) is divisible by 144 for infinitely many \(n\in N\) .

[JEE Main 2023, 6 Apr (Shift 2)]

a

Both \(\left({S}_{1}\right)\) and \(\left({S}_{2}\right)\) are incorrect

b

Only \(\left({S}_{2}\right)\) is correct

c

Both \(\left({S}_{1}\right)\) and \(\left({S}_{2}\right)\) are correct

d

Only \(\left({S}_{1}\right)\) is correct

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