# CAT Quantitative Aptitude Questions | CAT Time and Work questions

###### CAT Questions | Time and work | Work Time

The question is from Time and work. This questions combines the idea of time and work with proportions. Note: Look closely at the proportionalities

Question 12: Number of units of a good that can be produced by a factory is directly proportional to the square of the number of workers, square root of the number of machines and to the number of hours put in. The factory produces 200 goods when 4 people work for 8 hours each with 4 machines. When 3 people work for 12 hours each with 9 machines, how many goods will be produced?

1. 253.125
2. $$frac{100}{163}\\$ 3. $\frac{25}{256}\\$ 4. $\frac{16}{29}\\$ ## Best CAT Online Coaching Try upto 40 hours for free Learn from the best! #### 2IIM : Best Online CAT Coaching. ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now! ### Explanatory Answer ##### Method of solving this CAT Question from Pipes Cisterns and Work Time: Look closely at the proportionalities G α No of workers2 G α √$No. of Machines)
G α No of hours
200 α 42 * √4 * 8
200 α 16 * 2 * 8
200 α 256
200 = k x 256
K = $$frac{200}{256}\\$ K = $\frac{25}{32}\\$ When 3 people work for 12 hours each with 9 machines, the number of goods that will be produced is equal to $\frac{25}{32}\\$ * 32 * √9 * 12 = 253.125 The question is "When 3 people work for 12 hours each with 9 machines, how many goods will be produced?" ##### Hence, the answer is "253.125". Choice A is the correct answer. ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### 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 Online Coaching | CAT Arithmetic Videos On YouTube #### Other useful sources for Arithmetic Questions | Pipes Cisterns; Time and Work Sample Questions ##### 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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