# CAT 2017 Question Paper | Quants Slot 1

###### CAT Previous Year Paper | CAT Exponents and Logarithms Questions | Question 21

Logarithms is the most commonly tested topic in CAT. The basic concept is easy, learn the concepts and practice a wide range of CAT Questions from 2IIM. One can usually expect 2-3 questions from Logarithms and Exponents in the CAT exam. With every extra hour you log in for this topic, it becomes exponentially simpler. Here's one such question from Logarithm that has a layer of geometric on it.

Question 21 : Suppose, log3x = log12y = a, where x, y are positive numbers. If G is the geometric mean of x and y, and log6G is equal to :

1. √a
2. 2a
3. $$frac{a}{2}$ 4. a ## Best CAT Online Coaching Try upto 40 hours for free Learn from the best! #### 2IIM : Best Online CAT Coaching. ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now! ### Explanatory Answer ##### Method of solving this CAT Question from Exponents and Logarithms log3 x = log12 y = a, where x, y are positive numbers. log3 x = a; x = 3a log12 y = a; y = 12a If G is the geometric mean of x and y, log6G is equal to has to be found We know that geometric mean is √xy √xy = √$36a)
= √(62a) = (62a)$$frac{1}{2}$ = 6a log6 G = a The question is "Suppose, log3x = log12y = a, where x, y are positive numbers. If G is the geometric mean of x and y, and log6G is equal to :" ##### Hence, the answer is a ###### 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