Quantitative Aptitude – Algebra – Inequalities – For how many integers n

Quantitative Aptitude – Algebra – Inequalities

Question

CAT 2017 - Forenoon slot - Quantitative Aptitude - Algebra - Inequalities - For how many integers n
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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Quantitative Aptitude – Algebra – Inequalities – For how many integers n
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