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Consider the following statements. For any integer $\mathrm{n}$,
I. $n^{2}+3$ is never divisible by 17 .
II. $n^{2}+4$ is never divisible by 17 .
Then
Options:
I. $n^{2}+3$ is never divisible by 17 .
II. $n^{2}+4$ is never divisible by 17 .
Then
Solution:
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Verified Answer
The correct answer is:
I is true and II is fal se
$n^{2}+4$ is divisible by 17 check at $n=9$ $\because \frac{n^{2}+3}{17}=\frac{n^{2}+4}{17}-\frac{1}{17}$ not divisible by 17
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