# The smallest integer n such that n^3 | Quantitative Aptitude - Algebra - Inequalities

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The question below is from previous year CAT question from CAT 2018 exam comes from CAT Algebra – Inequalities – The smallest integer n such that n^3 …. Find out by answering this question which tests an aspirant’s Quantitative Ability Skills:

## CAT 2018 – Slot 2 - Inequalities - Question 3 - The smallest integer n such that n^3

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

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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