. CAT Previous Year Question Paper Quants Slot 2 - CAT Number theory and Inequalities Questions, 2IIM CAT 2022 Online CAT classes, Best CAT coaching in Chennai | 2IIM CAT Classes Online

CAT 2018 Question Paper | Quants Slot 2

CAT Previous Year Paper | CAT Number theory and Inequalities Questions | Question 13

Here's a question from CAT Previous Year Papers 2018 that appears simple, but requires a strong predisposition for math! If you can prove your metal by eliminating the wrong options from this CAT 2018 Question Paper problem, then you are through! Try your hands on this beauty from Inequalities and then go on to have a look at how Rajesh solves it.

Question 13 : The smallest integer n for which 4n > 1719 holds, is closest to

  1. 33
  2. 39
  3. 37
  4. 35

🎊 Independance Day Discount!
Upto 4,000 off on CAT Online Courses
Valid until 16th Aug


2IIM : Best Online CAT Coaching.


Video Explanation


Best CAT Coaching in Chennai


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


Explanatory Answer

Method of solving this CAT Question from Number theory and Inequalities

Given that 4n > 1719
The smallest integer n for which 4n > 1719 holds has to be found 4n > 1719 can be also written as (42)\\frac{n}{2}) > 1719
16\\frac{n}{2}) > 1719
We can assume n = 19, 1619 cannot be greater than 1719
16\\frac{38}{2}) cannot be greater than 1719 so n cannot be 38
And similarly n cannot be less than 38 so we can eliminate the options less than 38 and so the only possible value n could take is 39

The question is "The smallest integer n for which 4n > 1719 holds, is closest to"

Hence, the answer is 39

Choice B is the correct answer.

 

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