Subject: General Aptitude · Chapter: Number System · Exam: · Marks: · Difficulty:
If $n$ is an integer, how many values of $n$ will give an integral value of $\left(\frac{16 n^{2}+7 n+6}{n}\right)$ ?
(a)2
(b)3
(c)4
(d)None of these
Answer
Answer (as printed): C
Explanation
$\frac{\left(16 n^{2}+7 n+6\right)}{n}=\left(\frac{16 n^{2}}{n}+\frac{7 n}{n}+\frac{6}{n}\right)=\left(16 n+7+\frac{6}{n}\right)$. For $\left(16 n+7+\frac{6}{n}\right)$ to be an integer, we may have $n=1$ or $n=2$ or $n=3$ or $n=6$. Hence, 4 values of $n$ will give the desired result.
Explanation as extracted from the printed page; notation may be imperfect.