# CAT 2022 Question Paper | Quant Slot 2

###### CAT Previous Year Paper | CAT Quant Questions | Question 14

CAT 2022 Quant was dominated by Arithmetic followed by Algebra. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 14 : The number of distinct integer values of $n$ satisfying $$frac{4-$log _2 n}{3-\log _4 n}\lt0$, is ## Best CAT Online Coaching Try upto 40 hours for free Learn from the best! #### 2IIM : Best Online CAT Coaching. ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now! ### Explanatory Answer $\frac { 4 - \log _ { 2 } ^ { n } } { 3 - \log _ { 4 } ^ { n } } < 0$ If $\log _ { 2 } ^ { n } = 4 ; n = 2 ^ { 4 } = 16$; If $\log _ { 4 } ^ { n } = 3 ; n = 4 ^ { 3 } = 64$; For any value of n < 16, the numerator is positive. For any value of n > 16, it is negative. For any value of n < 64, the denominator is positive. For any value of n > 64, it is negative. For a fraction to be negative, the numerator and the denominator must be of opposite signs. In this case, n should be between 16 and 64. The number of values that n can take = 63 - 16 = 47. The question is " The number of distinct integer values of $n$ satisfying $\frac{4-\log _2 n}{3-\log _4 n}\lt0$, is " ##### Hence, the answer is '47' ###### Prepare for CAT 2023 with 2IIM's Daily Preparation Schedule ###### Know all about CAT Exam Syllabus and what to expect in CAT ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2023 Classroom Batches Starting Now! @Gopalapuram ###### Best CAT Coaching in Chennai Introductory offer of 5000/- Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ##### 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
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