# CAT 2023 Question Paper | Quant Slot 2

###### CAT Previous Year Paper | CAT Quant Questions | Question 5

CAT 2023 Quant was dominated by Algebra followed by Arithmetic. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 5 : For some positive real number $x$, if $$log _{$sqrt{3}}$x$+$frac{$log _x$25$}{$log _x$0.008)}=$frac{16}{3}$, then the value of $$log _3\left$3 x^2$right$$ is ## Best CAT Online Coaching Try upto 40 hours for free Learn from the best! #### 2IIM : Best Online CAT Coaching. ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now! ### Explanatory Answer $$ x ) + $frac { 5 ^ { 2 } } {$ 0.008 ) } = $frac { 16 } { 3 }$ $0.008 = $frac { 8 } { 1000 } = \frac { 2 ^ { 3 } } { 10 ^ { 3 } } = 5 ^ { - 3 }$ $$ x$ + $frac { 5 ^ { 2 } } { 5 ^ { - 3 } } = $frac { 16 } { 3 }$ $$ x$ - $frac { 2 } { 3 } $frac { \log \log x } { 5 } = \frac { 16 } { 3 }$ $$ x$ = $frac { 16 } { 3 } + $frac { 2 } { 3 } = \frac { 18 } { 3 } = 6$ $x =$ $sqrt { 3 }$ ^ { 6 } = 3 ^ { $frac { 6 } { 2 } } = 3 ^ { 3 }$ $3 x ^ { 2 } = 3 \times 3 ^ { 6 } = 3 ^ { 7 }$ $\therefore \left$ 3 x ^ { 2 } $right$ = $left$ 3 ^ { 7 } $right$ = 7$ The question is " For some positive real number $x$, if $$log _{\sqrt{3}}$x$+$frac{$log _x$25$}{$log _x$0.008)}=$frac{16}{3}$, then the value of $$log _3\left$3 x^2$right$$ is " ##### Hence, the answer is '7' ###### 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