CAT 2020 Question Paper | Quants Slot 2

CAT Previous Year Paper | CAT Quants Questions | Question 17

The best questions to practice for CAT Exam are the actual CAT Question Papers. 2IIM offers you exactly that, in a student friendly format to take value from this. In CAT 2019 we saw some beautiful questions that laid emphasis on Learning ideas from basics and being able to comprehend more than remembering gazillion formulae and shortcuts. Original CAT Question paper is the best place to start off your CAT prep practice. This page provides exactly that. To check out about 1000 CAT Level questions with detailed video solutions for free, go here: CAT Question Bank

Question 17 : The number of integers that satisfy the equality (x2 - 5x + 7)x + 1 = 1 is

  1. 5
  2. 4
  3. 3
  4. 2

🚀 Introductory Offer!
Buy CAT'21 95-99 Booster Course for just Rs. 4500
Valid until 19th Sep


2IIM : Best Online CAT Coaching.


Video Explanation


Best CAT Coaching in Chennai


CAT Coaching in Chennai - CAT 2021
Online Batches Available Now!


Explanatory Answer

We can have three possibilities for the equality of form xn = 1
First n = 0, then x = 1 and then x = -1 and n = even (-1)Even
Using first x = -1, and substituting in given equation
(-1)2 -5(-1) + 7 = 8 (Acceptable)
Using second condition, x2
Solving x = 2 or x = 3 (Both are acceptable)
Last condition x2 -5x + 7 = -1
x2 -5x + 8 = 0
No integer values,
So 3 values satisfy the equality


The question is "The number of integers that satisfy the equality (x2 - 5x + 7)x + 1 = 1 is"

Hence, the answer is, "3"

CAT Questions | CAT Quantitative Aptitude

CAT Questions | CAT DILR

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?

Phone: (91) 44 4505 8484
Mobile: (91) 99626 48484 / 94459 38484
WhatsApp: WhatsApp Now
Email: info@2iim.com