# CAT 2017 Question Paper | Quants Slot 1

###### CAT Previous Year Paper | CAT Exponents and Logarithms Questions | Question 24

This is a question from Exponents, which tests your understanding of the basics. If you know the concepts of Exponents well, you can exponentially increase your score in this topic. This is a favorite topic of the examiners. Questions from Exponents have appeared more than expected in CAT exam. Make sure you practice this topic well.

Question 24 : If 92x – 1 – 81x-1 = 1944, then x is

1. 3
2. $$frac{9}{4}$ 3. $\frac{4}{9}$ 4. $\frac{1}{3}$ ## Best CAT Online Coaching Try upto 40 hours for free Learn from the best! #### 2IIM : Best Online CAT Coaching. ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now! ### Explanatory Answer ##### Method of solving this CAT Question from Exponents and Logarithms We have to find the value of x ⟹ 92x – 1 – 81x-1 = 1944 ⟹ 92x – 1 –$92)x-1 = 1944
⟹ 92x – 1 – 92x - 2 = 1944
⟹ (92x - 2 × 9) - 92x - 2 = 1944
⟹ 92x - 2 × (9 - 1) = 1944
⟹ 92x - 2 = $$frac{1944}{8}$ = 243 We can write 243 = 35 = 9$\frac{5}{2}$ Comparing the powers, ⟹ 2x – 2 = $\frac{5}{2}$ ⟹ 2x = $\frac{9}{2}$ ⟹ x = $\frac{9}{4}$ The question is "If 92x – 1 – 81x-1 = 1944, then x is" ##### Hence, the answer is $\frac{9}{4}$ Choice B is the correct answer ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### Prepare for CAT 2023 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 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
WhatsApp: WhatsApp Now
Email: info@2iim.com