**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

## Download CAT 2017 Question Paper with answers and detailed solutions in PDF

## CAT 2017 Questions from Quantitative Aptitude – Algebra

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

Quantitative Aptitude – Algebra – Functions

Quantitative Aptitude – Algebra – Logarithms

Quantitative Aptitude – Algebra – Quadratic Equations

Quantitative Aptitude – Algebra – Maxima Minima

Quantitative Aptitude – Algebra – Polynomials

Quantitative Aptitude – Algebra – Simple Equations

## Other posts related to Quantitative Aptitude – Algebra

Problems on Ages with complete solutions, answers, and tricks to solve

How to Solve Number of Integral Solutions Questions for CAT 2017

Quadratic Equations

Basic Functions and Modifications of Graphs

An introduction to functions (Algebra) for CAT 2017 exam

Functions from Algebra – Basic concepts and application for Quantitative Aptitude in CAT Exam

## Online Coaching Course for CAT Exam Preparation

**a)** 750+ Videos covering entire CAT syllabus**b)** 2 Live Classes (online) every week for doubt clarification**c)** Study Material & PDFs for practice and understanding**d)** 10 Mock Tests in the latest pattern**e)** Previous Year Questions solved on video

## One Reply to “Quantitative Aptitude – Algebra – Inequalities – For how many integers n”