# CAT 2022 Question Paper | Quant Slot 3

###### CAT Previous Year Paper | CAT Quant Questions | Question 2

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 2 : The minimum possible value of $$frac{x^2-6 x+10}{3-x}$, for $x$lt3$, is 1. $\frac{1}{2}$ 2. $-\frac{1}{2}$ 3. $2$ 4. $-2$ ## Best CAT Online Coaching Try upto 40 hours for free Learn from the best! #### 2IIM : Best Online CAT Coaching. ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now! ### Explanatory Answer $\frac { x ^ { 2 } - 6 x + 10 } { 3 - x }$ $\frac { x ^ { 2 } - 6 x + 9 + 1 } { 3 - x }$ $\frac { x ^ { 2 } - 6 x + 9 } { 3 - x } + \frac { 1 } { 3 - x }$ $\frac {$ x - 3$ ^ { 2 } } { 3 - x } + $frac { 1 } { 3 - x }$ $$ x - 3 ) ^ { 2 } = ( 3 - x ) ^ { 2 }$
$$frac {$ 3 - x ) ^ { 2 } } { 3 - x } + $frac { 1 } { 3 - x }$ $3 - x + $frac { 1 } { 3 - x }$ Since $x < 3$, $3 - x$ is positive. Let k = $3 - x$. Since k is positive, the minimum value of $k + \frac { 1 } { k }$ is 2. The question is " The minimum possible value of $\frac{x^2-6 x+10}{3-x}$, for $x\lt3$, is " ##### Hence, the answer is '$2$' Choice C 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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