# CAT 2018 Question Paper | Quants Slot 1

###### CAT Previous Year Paper | CAT Exponents Questions | Question 25

This is a question from Logarithm and Exponents that appeared in CAT 2018 Question Paper. This topic is heavily tested in the CAT Exam. Among the topics under CAT Syllabus, Exponents and Logarithms is given more importance. A CAT aspirant's CAT online preparation is incomplete without mastering this topic. And the best way to captalize this is to solve questions from CAT Previous Year Paper.

Question 25 :Given that x2018 y2017 = 1/2 and x2016 y2019 = 8, the value of x2 + y3 is

1. $$frac{37}{4}$ 2. $\frac{31}{4}$ 3. $\frac{35}{4}$ 4. $\frac{33}{4}$ ## Best CAT Online Coaching Try upto 40 hours for free Learn from the best! #### 2IIM : Best Online CAT Coaching. ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now! ### Explanatory Answer ##### Method of solving this CAT Question from Exponents x2018 y2017 = $\frac{1}{2}$ ---$1)
x2016 y2019 = 8 ---(2)
Divide (1) by (2) we get ($$frac{x}{y}$)2 = $\frac{1}{16}$ y = 4x Substituting the value of y in$2)
x2016 . x2019 . 42019 = 23
x4035 . 24038 = 23
x4035 = 2-4035 => x = $$frac{1}{2}$ y = 2 x2 + y3 = $\frac{33}{4}$ The question is "Given that x2018 y2017 = 1/2 and x2016 y2019 = 8, the value of x2 + y3 is" ##### Hence, the answer is $\frac{33}{4}$ Choice D is the correct answer. ###### Prepare for CAT 2023 with 2IIM's Daily Preparation Schedule ###### Know all about CAT Exam Syllabus and what to expect in CAT ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2023 Classroom Batches Starting Now! @Gopalapuram ###### 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? Mobile:$91) 99626 48484 / 94459 38484
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