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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
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
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"
Choice B is the correct answer.
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