. CAT 2018 Question Paper Quants Slot 2 - CAT Ratio and Proportions Questions, 2IIM CAT 2024 online classes for CAT, CAT coaching in Chennai | 2IIM Online CAT Coaching

# CAT 2018 Question Paper | Quants Slot 2

###### CAT Previous Year Paper | CAT Ratio and Proportions Questions | Question 24

This is a classic question from the topic of Ratios. In CAT 2018 Question Paper we got to see some extremely wonderful questions that laid emphasis on learning ideas from the very basics and implementing them. Remember, the concepts are more important than just mugging up a plethora of formulae. 2IIM's Online CAT Preparation helps you with exactly that. Sign up and enjoy the process of learning!

Question 24 : The scores of Amal and Bimal in an examination are in the ratio 11 : 14. After an appeal, their scores increase by the same amount and their new scores are in the ratio 47 : 56. The ratio of Bimal’s new score to that of his original score is

1. 3 : 2
2. 4 : 3
3. 5 : 4
4. 8 : 5

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### Explanatory Answer

##### Method of solving this CAT Question from Ratio and Proportions

Given that the scores of Amal and Bimal in an examination are in the ratio 11 : 14 i.e. 11x : 14x
After an appeal their scores increased by the same amount and their new scores are in the ratio 47 : 56

(11x + a) × 56 = (14x + a) × 47
616x + 56a = 658x + 47a
56a – 47a = 42x
9a = 42x
3a = 14x
a = $$frac{14x}{3}$ The ratio of Bimal’s new score to that of his original score is $\frac{14x + a}{14x}$ ⟹ $\frac{14x + \frac{14x}{3}}{14x}$ where a = $\frac{14x}{3}$ ⟹ $\frac{1 + \frac{1}{3}}{1}$ Hence the ratio of Bimal’s new score to that of his original score is 4 : 3 The question is "The scores of Amal and Bimal in an examination are in the ratio 11 : 14. After an appeal, their scores increase by the same amount and their new scores are in the ratio 47 : 56. The ratio of Bimal’s new score to that of his original score is" ##### Hence, the answer is 4 : 3 Choice B 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? ###### 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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