# CAT 2018 Question Paper | Quants Slot 2

###### CAT Previous Year Paper | CAT Logarithm Questions | Question 9

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Question 9 : If p3 = q4 = r5 = s6, then the value of logs (pqr) is equal to

1. $$frac{24}{5}$ 2. 1 3. $\frac{47}{10}$ 4. $\frac{16}{5}$ ## 2IIM : Best Online CAT Coaching #### 2IIM's Online CAT CoachingGet CAT Last Mile Prep Course for 799 /-CAT Online Coaching ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2020Starts Sat, November 2nd, 2019 ### Explanatory Answer ##### Method of solving this CAT Question from Logarithm Given that p3 = q4 = r5 = s6 We have to find the value of logs$pqr)
Since more variables are given, to avoid confusion assume a new variable to simplify it.
Let us assume this p3 = q4 = r5 = s6 is equal to kx
so that we can get every values in k
We can rewrite this logs (pqr) as $$frac{log_k$pqr$}{log_k s})
Now let us take the LCM of 3 , 4 , 5 and 6 which is equal to 60
Hence p3 = q4 = r5 = s6 = k60
Or p = k20 q = k15 r = k12 s = k10
$$frac{log_k$pqr$}{log_k s}) = $$frac{log_k k^{20}k^{15}k^{12}}{log_k k^{10}}$ $\frac{log_k$pqr$}{log_k s}) = $$frac{47}{10}$ The question is "If p3 = q4 = r5 = s6, then the value of logs$pqr) is equal to"

##### Hence, the answer is $$frac{47}{10}$ Choice C is the correct answer. ###### 2IIM's Online CAT CoachingGet CAT Last Mile Prep Course for 799 /- Signup Now! ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2020Enroll at 44,000/- Next Weekend Batch Starts Sat, Nov 2nd, 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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