AP EAMCET · Maths · Basic of Mathematics
For all \(\mathrm{n} \in \mathrm{N}\), if \(\mathrm{n}\left(\mathrm{n}^2+3\right)\) is divisible by k, then the maximum value of k is
- A \(4\)
- B \(6\)
- C \(8\)
- D \(2\)
Answer & Solution
Correct Answer
(D) \(2\)
Step-by-step Solution
Detailed explanation
\( \mathrm{n}=1: 1(1^2+3) = 4 \) \( \mathrm{n}=2: 2(2^2+3) = 14 \) \( \mathrm{GCD}(4, 14) = 2 \) \( \mathrm{k}=2 \)
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