# CAT 2020 Question Paper | Quants Slot 3

###### CAT Previous Year Paper | CAT Quants Questions | Question 11

This question is from logarithm and exponents. With every extra hour you log in for this topic, it becomes exponentially simpler. Logarithms and Exponents is a favorite in CAT Exam and appears more often than expected in the CAT Quantitative Aptitude section in the CAT Exam.

Question 11 : If a,b,c are non-zero and 14a = 36b = 84c, then 6b($$frac{1}{c}$ - $\frac{1}{a}$) is equal to ## Best CAT Online Coaching Try upto 40 hours for free Learn from the best! #### 2IIM : Best Online CAT Coaching. ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now! ### Explanatory Answer Let 14a = 36b = 84c = x 14a = x log14x = a logx14 = $\frac{1}{a}$ 36b = x log36x = b 84c = x log84x = c logx84 = $\frac{1}{c}$ $\frac{1}{c}$ - $\frac{1}{a}$ = logx84 - logx14 = logx$$$frac{84}{14}$ = logx6 6 × b ×$$$frac{1}{c}$ - $\frac{1}{a}$) 6 × log36x × logx6 6 × $\frac{log x}{log 36}$ × $\frac{log 6}{log x}$ 6 × $\frac{log 6}{log 36}$ 6 × log366 6 × $\frac{1}{2}$ 3. The question is "If a,b,c are non-zero and 14a = 36b = 84c, then 6b$$$frac{1}{c}$ - $\frac{1}{a}$) is equal to" ##### Hence, the answer is, "3" ###### 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
WhatsApp: WhatsApp Now
Email: info@2iim.com