# CAT 2023 Question Paper | Quant Slot 3

###### CAT Previous Year Paper | CAT Quant Questions | Question 12

CAT 2023 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 12 : There are three persons $$mathrm{A}, $mathrm{B}$ and $\mathrm{C}$ in a room. If a person $\mathrm{D}$ joins the room, the average weight of the persons in the room reduces by $x \mathrm{~kg}$. Instead of $\mathrm{D}$, if person $\mathrm{E}$ joins the room, the average weight of the persons in the room increases by $2 x \mathrm{~kg}$. If the weight of $\mathrm{E}$ is $12 \mathrm{~kg}$ more than that of $\mathrm{D}$, then the value of $x$ is 1. 1.5 2. 2 3. 0.5 4. 1 ## Best CAT Online Coaching Try upto 40 hours for free Learn from the best! #### 2IIM : Best Online CAT Coaching. ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now! ### Explanatory Answer $\frac { A + B + C } { 3 } = y$ $A + B + C = 3 y$ $\frac { A + B + C + D } { 4 } = y - x$ $A + B + C + D = 4 y - 4 x$ $D = y - 4 x$ $\frac { A + B + C + E } { 4 } = y + 2 x$ $A + B + C + C = 4 y + 8 x$ $E = y + 8 x$ $E - D = 12$ $$ y + 8 x$ - ( y - 4 x ) = 12$
$12 x = 12$
$x = 1$

The question is " There are three persons $$mathrm{A}, $mathrm{B}$ and $\mathrm{C}$ in a room. If a person $\mathrm{D}$ joins the room, the average weight of the persons in the room reduces by $x \mathrm{~kg}$. Instead of $\mathrm{D}$, if person $\mathrm{E}$ joins the room, the average weight of the persons in the room increases by $2 x \mathrm{~kg}$. If the weight of $\mathrm{E}$ is $12 \mathrm{~kg}$ more than that of $\mathrm{D}$, then the value of $x$ is " ##### The answer is '1' Choice D 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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