. CAT 2018 Question Paper Quants Slot 2 - CAT Logarithm Questions, 2IIM CAT 2021 online classes, CAT coaching in Chennai | 2IIM Online CAT Coaching

# CAT 2018 Question Paper | Quants Slot 2

###### CAT Previous Year Paper | CAT Logarithm Questions | Question 34

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Question 34 : $$frac{1}{log_2 100}$ - $\frac{1}{log_4 100}$ + $\frac{1}{log_5 100}$ - $\frac{1}{log_{10} 100}$ + $\frac{1}{log_{20} 100}$ - $\frac{1}{log_{25} 100}$ + $\frac{1}{log_{50} 100}$ = ? 1. 0 2. $\frac{1}{2}$ 3. -4 4. 10 ## ⏰ Last Intake for CAT '21 Crash course! Buy now for just Rs. 8000. Valid until 27th Sep #### 2IIM : Best Online CAT Coaching. ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2021Online Batches Available Now! ### Explanatory Answer ##### Method of solving this CAT Question from Logarithm We know that $\frac{1}{log_a b}$ = logb a ⟹ log100 2 - log100 4 + log100 5 - log100 10 + log100 20 - log100 25 + log100 50 We also know that$- loga b) = loga ($$frac{1}{b}$) ⟹ log100$2 × $$frac{1}{4}$ × 5 × $\frac{1}{10}$ × 20 × $\frac{1}{25}$ × 50) ⟹ log100 10 = $\frac{1}{2}$ The question is "$\frac{1}{log_2 100}$ - $\frac{1}{log_4 100}$ + $\frac{1}{log_5 100}$ - $\frac{1}{log_{10} 100}$ + $\frac{1}{log_{20} 100}$ - $\frac{1}{log_{25} 100}$ + $\frac{1}{log_{50} 100}$ = ?" ##### Hence, the answer is $\frac{1}{2}$ Choice B is the correct answer ###### ⏰ Last Intake for CAT '21 Crash course! Buy now for just Rs. 8000. Valid until 27th Sep ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2021Enroll at 49,000/- 44,000/- Online Classroom Batches Starting Now! ###### 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? Phone:$91) 44 4505 8484
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