# CAT 2022 Question Paper | Quant Slot 3

###### CAT Previous Year Paper | CAT Quant Questions | Question 14

CAT 2022 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 14 : If $(3+2 $sqrt{2})$ is a root of the equation $a x^2+b x+c=0$, and $$4+2 $sqrt{3})$ is a root of the equation $a y^2+m y+n=0$, where $a, b, c, m$ and $n$ are integers, then the value of $$left$$frac{b}{m}+\frac{c-2 b}{n}\right$$ is 1. 3 2. 1 3. 4 4. 0 ## 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 If $$ 3 + 2 $sqrt { 2 } )$ is a root of the equation $a x ^ { 2 } + b x + c = 0$, so is $$ 3 - 2 $sqrt { 2 } )$. $a x ^ { 2 } + b x + c =$ x - ( 3 + 2 $sqrt { 2 } ) )$ x - ( 3 - 2 $sqrt { 2 } ) )$ $a x ^ { 2 } + b x + c = x ^ { 2 } - 6 x + 1$ If $$ 4 + 2 $sqrt { 3 } )$ is a root of the equation $a y ^ { 2 } + m y + n = 0$, so is $$ 4 - 2 $sqrt { 3 } )$. $a y ^ { 2 } + m y + n =$ x - ( 4 + 2 $sqrt { 3 } ) )$ x - ( 4 - 2 $sqrt { 3 } ) )$ $a y ^ { 2 } + m y + n = x ^ { 2 } - 8 x + 4$ a = 1, b = -6, c = 1, m = -8, n = 4 Therefore $$frac { b } { m } + \frac { c - 2 b } { n }$ = 4 ##### The answer is '4' Choice C is the correct answer. ###### 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
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