# 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{๐}{4}$ ---$1)
We need to find the value of 3 × $$frac{4 โ p}{4 + p}$ This can be rewritten as 3 × $\frac{1 โ \frac{๐}{4}}{1 + \frac{๐}{4}}$ ---$2)
Replacing (2) with (1), We get
3 × $$frac{1 โ log_{12} 3}{1 + log_{12} 3}$ 3 × $\frac{log_{12} 12 โ log_{12} 3}{log_{12} 12 + log_{12} 3}$ 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. ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### Prepare for CAT 2024 with 2IIM's Daily Preparation Schedule ###### Know all about CAT Exam Syllabus and what to expect in CAT ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2024 Classroom Batches Starting Now! @Gopalapuram and @Anna nagar ###### Best CAT Coaching in Chennai Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ## CAT Questions | CAT Quantitative Aptitude ## 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
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