# CAT 2018 Question Paper | Quants Slot 1

###### CAT Previous Year Paper | CAT Ratio and Proportion Questions | Question 26

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Question 26 :Raju and Lalitha originally had marbles in the ratio 4 : 9. Then Lalitha gave some of her marbles to Raju. As a result, the ratio of the number of marbles with Raju to that with Lalitha became 5 : 6. What fraction of her original number of marbles was given by Lalitha to Raju?

1. $$frac{1}{4}$ 2. $\frac{1}{5}$ 3. $\frac{6}{19}$ 4. $\frac{7}{33}$ ## ⏰ Last Intake for CAT '21 Crash course! Buy now for just Rs. 8000. Valid until 27th Sep #### 2IIM : Best Online CAT Coaching. ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2021Online Batches Available Now! ### Explanatory Answer ##### Method of solving this CAT Question from Ratio and Proportion Given that original ratio is 4 : 9 Let us assume Lalitha gives ‘a’ chocolates to Raju ending up in a ratio of 5 : 6 $\frac{4𝑥 + 𝑎}{9𝑥 - 𝑎}$ = $\frac{5}{6}$ We need to find the fraction of number of marbles given by Lalitha to the initial number of Chocolates => We need to find the value of $\frac{a}{9x}$ $\frac{4𝑥 + 𝑎}{9𝑥 - 𝑎}$ = $\frac{5}{6}$ Take k = 𝑎/𝑥 $\frac{4 + k}{9 - k}$ = $\frac{5}{6}$ 11k = 21 k = $\frac{21}{11}$ We need to find the value of $\frac{a}{9x}$ $\frac{a}{9x}$ = $\frac{k}{9}$ = $\frac{21}{9 × 11}$ $\frac{a}{9x}$ = $\frac{7}{33}$ The question is "Raju and Lalitha originally had marbles in the ratio 4 : 9. Then Lalitha gave some of her marbles to Raju. As a result, the ratio of the number of marbles with Raju to that with Lalitha became 5 : 6. What fraction of her original number of marbles was given by Lalitha to Raju?" ##### Hence, the answer is $\frac{7}{33}$ Choice D is the correct answer. ###### ⏰ Last Intake for CAT '21 Crash course! Buy now for just Rs. 8000. Valid until 27th Sep ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2021Enroll at 49,000/- 44,000/- Online Classroom Batches Starting Now! ###### 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? Phone:$91) 44 4505 8484
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