# CAT 2021 Question Paper | Quant Slot 1

###### CAT Previous Year Paper | CAT Quant Questions | Question 4

CAT 2021 Quant was dominated by Arithmetic followed by Algebra. 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 4 : If 5 - $$log _{10} \sqrt{1+x}$ + 4 $\log _{10} \sqrt{1-x}$ = $\log _{10} \frac{1}{\sqrt{1-x^{2}}}$ , then 100 x equals ## 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 5 - $\log _{10} \sqrt{1 + x}$ + 4$\log _{10} \sqrt{1 - x}$ = $\log _{10} \frac{1}{\sqrt{1-x^{2}}}$ 5 - $\log _{10} \sqrt{1 + x}$ + 4$\log _{10} \sqrt{1 - x}$ = $\log _{10} { \left$ $frac{1}{\sqrt{1-x}} \frac{1}{\sqrt{1+x}} \right$}) 5 - $\log _{10} \sqrt{1 + x}$ + 4$\log _{10} \sqrt{1 - x}$ = - $\log _{10} \sqrt{1 - x}$ - $\log _{10} \sqrt{1 + x}$ 4$\log _{10} \sqrt{1 - x}$ + $\log _{10} \sqrt{1 - x}$ = -5 $\log _{10} \sqrt{1 - x}$ = -1 $\sqrt{1-x}$ = $\frac{1}{10}$ 100x = 99. Therefore the answer should be 99. The question is " If 5 - $\log _{10} \sqrt{1+x}$ + 4 $\log _{10} \sqrt{1-x}$ = $\log _{10} \frac{1}{\sqrt{1-x^{2}}}$ , then 100 x equals " ##### Hence, the answer is '99' ###### Prepare for CAT 2022 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 2022 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? Phone:$91) 44 4505 8484
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