CAT 2019 Question Paper | Quants Slot 2

CAT Questions

Ratio and Proportion is one of the crucial topics in the Quantitative Ability section of the CAT exam as it belongs to the Arithmetic part. Arithmetic consitutes about 50% of the questions in the CAT Question Paper as seen in 2IIM's CAT Blueprint. CAT Blueprint is 2IIM's analysis of CAT previous year paper over the years to give you a glimpse of what to expect in the upcoming CAT Exam. To strengthen your online CAT preparation it is important that you go through this blueprint as well as CAT previous year paper to understand the kind of questions that can crop up in the CAT Exam as well as their varying difficulty levels. Don't wait for you to finish the CAT Syllabus before trying your hands at these questions! Try one question on Ratio and Proportions taken from CAT 2019 Question Paper right away!

Question 16 : In an examination, Rama's score was one-twelfth of the sum of the scores of Mohan and Anjali. After a review, the score of each of them increased by 6. The revised scores of Anjali, Mohan, and Rama were in the ratio 11:10:3. Then Anjali's score exceeded Rama's score by

1. 26
2. 32
3. 24
4. 35

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Video Explanation

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Explanatory Answer

It is given that the scores of Anjali, Mohan and Rama after review were in the ratio 11: 10: 3
So, let their values be 11x, 10x and 3x respectively.
It is known that their score increased by 6 after review.
So, scores before review = 11x-6, 10x-6 and 3x-6 respectively
Now, from the data given
(11x - 6 + 10x - 6) x = 3x - 6
21x - 12 = 36x - 72
60 = 15x
x = 4
So, marks after revision are 44, 40 and 12 respectively.
Therefore, Anjali's score exceeded Rama's by 44 - 12 = 32 marks

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The question is "In an examination, Rama's score was one-twelfth of the sum of the scores of Mohan and Anjali. After a review, the score of each of them increased by 6. The revised scores of Anjali, Mohan, and Rama were in the ratio 11:10:3. Then Anjali's score exceeded Rama's score by"

Hence, the answer is 32

Choice B is the correct answer.

 

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