Among the statements: (S1): 2023²⁰²²-1999²⁰²² is divisible by 8 (S2): 13(13)ⁿ-12 n-13 is divisible by 144 for infinitely many n N

(D) both (S1) and (S2) are correct

(A) both (S1) and (S2) are incorrect

Binomial Theorem and Its Simple Applications: JEE Main 2023 Mathematics question

JEE Main 2023 · 6 Apr, Evening shift · Q2902

JEE Main 20236 Apr, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

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}

JEE Main 2023 · 6 Apr, Evening shift · Q2902

JEE Main 20236 Apr, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

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}