# CAT 2018 Question Paper | Quants Slot 1

###### CAT Previous Year Paper | CAT Logarithm Questions | Question 12

The Quantitative Ability section of the CAT Exam has a very vast syllabus and Logarithms is one tough topic among all. From the CAT Previous Year Paper we can infer that some of the toughest questions are asked from this very topic. Here is a question from CAT 2018 Question Paper from Slot 1, based on Logarithms.. Solve this question and prepare yourself to nail the CAT Exam

Question 12: If log1281 = p, then 3($$frac{4 - p}{4 + p}$) is equal to: 1. log28 2. log68 3. log416 4. log616 ## Best CAT Online Coaching Try upto 40 hours for free Learn from the best! #### 2IIM : Best Online CAT Coaching. ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now! ### Explanatory Answer ##### Method of solving this CAT Question from Logarithm Given, log1281 = p log12$3)4 = p
4 (log12(3)) = p
log12(3) = $$frac{𝑝}{4}$ ---$1)
We need to find the value of 3 × $$frac{4 – p}{4 + p}$ This can be rewritten as 3 × $\frac{1 – \frac{𝑝}{4}}{1 + \frac{𝑝}{4}}$ ---$2)
Replacing (2) with (1), We get
3 × $$frac{1 – log_{12} 3}{1 + log_{12} 3}$ 3 × $\frac{log_{12} 12 – log_{12} 3}{log_{12} 12 + log_{12} 3}$ 3 × $\frac{log_{12} 4}{log_{12} 36}$ $\frac{log_{12} 43}{log_{12} 36}$ log3664 log68 ##### Hence, the answer is log68 Choice B is the correct answer. ###### 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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