For how many integers n, will the inequality (n â€“ 5) (n â€“ 10) â€“ 3(n â€“ 2) â‰¤ 0 be satisfied?

11

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

On solving the equation, we get n^2 â€“ 18n + 56 â‰¤ 0

Factorize and we get, (n-4)(n-14) â‰¤ 0

4 â‰¤ n â‰¤ 14

No of values of n =11

Answer: 11

Quantitative Aptitude – Algebra – Inequalities – Ques: The number of solutions (x, y, z) to the equation x â€“ y â€“ z = 25, where x, y, and z are positive integers such that x â‰¤ 40, y â‰¤ 12, and z â‰¤ 12 is

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