AP EAMCET · Maths · Binomial Theorem
If \(k \in N\), then \(3^{3 k}-26^k-1\) is divisible by
- A 676
- B 8
- C 64
- D 26
Answer & Solution
Correct Answer
(D) 26
Step-by-step Solution
Detailed explanation
\(3^{3 k}-26^k-1 = 27^k-26^k-1\) \(27^k-26^k-1 \equiv 1^k - 0^k - 1 \pmod{26}\) \( \equiv 0 \pmod{26}\) 26
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