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CAT Exam Model Paper 8 with solutions for free online practice

Question : 3 of 60

Marks: +1, -0

\frac{5}{3} < \frac{n}{n+4} < \frac{14}{3}

Solution:

Let assume that n + 4 is positive i.e. n > - 4.

⇒ 5n + 20 < 3n and 3n < 14n + 56

\Rightarrow n < -10

and

n > -\frac{56}{11}

so no solution is possible.

Now let us assume that n + 4 is negative i.e. n < - 4.

⇒ 5n + 20 > 3n and 3n > 14n + 56

⇒

n > -10

and

n < -\frac{56}{11}

So n can take 4 integral values - 6, - 7, - 8, - 9.

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