Question

Among the statements: 

(S₁) : 2023²⁰²² – 1999²⁰²² is divisible by 8. 

(S₂) : 13(13)ⁿ – 11n – 13 is divisible by 144 for infinitely many n ∈ N. 

(1) both (S₁) and (S₂) are incorrect 

(2) only (S₂) is correct 

(3) both (S₁) and (S₂) are correct 

(4) only (S₁) is correct

Answer 1

(3) both (S₁) and (S₂) are correct 

If (n = 144m, m ∈ N), then it is divisible by 144 

For infinite value of n.