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In an examination, Rama’s score was one | Quantitative Aptitude – CAT Arithmetic – Ratio and proportions

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The question below is from previous year CAT question from CAT 2019 exam comes from sub-section Geometry: In an examination, Rama’s score was one. Find out by answering this question which tests an aspirant’s Quantitative Ability Skills:

CAT 2019 – Slot -2-Quantitative Aptitude- Question 3 - In an examination, Rama’s score was one

Q. 3: 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. 24
2. 26
3. 35
4. 32 

Let score of Rama = r, mohan = m and Anjali = a

As score was one-twelfth of the sum of the scores of Mohan and Anjali.

So 12r = m + a……(1)

Similarly after score of each of them increased by 6, score of scores of Anjali, Mohan, and Rama

Becomes in the ratio 11 : 10 :3

Let 11k = r+6, m+6 = 10k and a+6 = 3k, putting values of the 3 in equation 1, we get

a – r = 40 – 8 = 32

 

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