**Quantitative Aptitude – Algebra – Inequalities**

**Question**

For how many integers n, will the inequality (n – 5) (n – 10) – 3(n – 2) ≤ 0 be satisfied?

**Answer**

11

**Solution**

From CAT 2017 – Quantitative Aptitude – Algebra – Inequalities, we can see that,

On solving the equation, we get n^2 – 18n + 56 ≤ 0

Factorize and we get, (n-4)(n-14) ≤ 0

4 ≤ n ≤ 14

No of values of n =11

Answer: 11

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## CAT 2017 Questions from Quantitative Aptitude – Algebra

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