# CAT 2018 Question Paper | Quants Slot 1

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

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Question 12: If log1281 = p, then 3($$frac{4 - p}{4 + p}$) is equal to: 1. log28 2. log68 3. log416 4. log616 ## 2IIM : Best Online CAT Coaching #### 2IIM's Online CAT Coaching4000 off on CAT Online Course for CAT 2020. Vaild till Dec 16thCAT Online Coaching ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2020Starts Sat, December 14th, 2019 ### Explanatory Answer ##### Method of solving this CAT Question from Logarithm Given, log1281 = p log12$3)4 = p
4 (log12(3)) = p
log12(3) = $$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. ###### 2IIM's Online CAT Coaching4000 off on CAT Online Course for CAT 2020. Vaild till Dec 16th Signup Now! ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2020Enroll at 44,000/- Next Weekend Batch Starts Sat, Dec 14th, 2019 ###### Best CAT Coaching in ChennaiRegister Online, get Rs 4000/- off Attend a Demo Class ##### 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
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