Quantitative Aptitude – Algebra – Inequalities – The smallest integer n such that n^3

Slot -2 – Quantitative Aptitude – Algebra – Inequalities – The smallest integer n such that n^3

The smallest integer n such that n^3 – 11n^2 + 32n – 28 > 0 is?

Answer: 8

Solution:
Given, n^3 – 11n^2 + 32n – 28 > 0
(n-7) (n-2)^2>0
Therefore n must be greater than 7.
So smallest integral value of n = 8

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