# CAT 2017 Question Paper | Quants Slot 1

###### CAT Previous Year Paper | CAT Inequalities Questions | Question 26

Inequalities are crucial to understanding many topics that are tested in the CAT exam. Having a good foundation in this topic will help you enormously in Algebra. This question is about finding the number of integral solutions to an inequality. Make sure you practice this topic well because a range of questions can be asked in CAT Exam based on this simple concept.

Question 26 : For how many integers n, will the inequality (n – 5) (n – 10) – 3(n – 2) ≤ 0 be satisfied? [TITA]

## Best CAT Coaching in Chennai

#### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now!

##### Method of solving this CAT Question from Inequalities

We have to find for how many integers n, will the inequality
(n – 5)(n – 10) – 3(n – 2) ≤ 0 be satisfied
(n – 5)(n – 10) – 3(n – 2) ≤ 0
n2 – 15n + 50 – 3n + 6 ≤ 0
n2 – 18n + 56 ≤ 0
(n – 4)(n – 14) ≤ 0
n = (4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14)
So n has to be between the two positive numbers 4 and 14 which is equal to 11.

The question is "For how many integers n, will the inequality (n – 5) (n – 10) – 3(n – 2) ≤ 0 be satisfied? [TITA]"

##### Hence, the answer is 11

###### CAT Coaching in ChennaiCAT 2024

Classroom Batches Starting Now! @Gopalapuram and @Anna nagar

###### Best CAT Coaching in Chennai

Attend a Demo Class

## CAT Questions | Verbal Ability for CAT

##### Where is 2IIM located?

2IIM Online CAT Coaching
A Fermat Education Initiative,
58/16, Indira Gandhi Street,
Kaveri Rangan Nagar, Saligramam, Chennai 600 093

##### How to reach 2IIM?

Mobile: (91) 99626 48484 / 94459 38484
WhatsApp: WhatsApp Now
Email: info@2iim.com