# CAT 2022 Question Paper | Quant Slot 3

###### CAT Previous Year Paper | CAT Quant Questions | Question 15

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 15 : If $c=$frac{16 x}{y}+$frac{49 y}{x}$ for some non-zero real numbers $x$ and $y$, then $c$ cannot take the value 1. -70 2. 60 3. -50 4. -60 ## 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 $c = \frac { 16 x } { y } + \frac { 49 y } { x }$ Let k = $\frac { x } { y }$, Since x and y are real, k is also real. c = 16 k + $\frac { 49 } { k }$ $16 k ^ { 2 } - c k + 49 = 0$ We know that k is real, for k to be real, it has to be rational first. That means, $c ^ { 2 } > 4.16 .49$ $c ^ { 2 } > 56 ^ { 2 }$ |c| > 56 C can’t take the value -50. The question is " If $c=\frac{16 x}{y}+\frac{49 y}{x}$ for some non-zero real numbers $x$ and $y$, then $c$ cannot take the value " ##### Hence, the answer is '-50' 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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