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CAT 2019 Set-2 | Question: 69

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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. $32$
  4. $35$

1 Answer

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Ans is option (C)

After the review, let the marks of Anjali, Mohan and Rama be $11x,10x,3x$ respectively.

In the review, they got marks increased by $6$. So, using the condition given in the question,

$3x-6=\frac{1}{12}(10x-6+11x-6)$   $\Rightarrow$  $15x=60$   $\Rightarrow$  $x=4$

$\therefore$ Marks of Anjali, Mohan and Rama after the review are:  $44,40,12$ respectively.

So, marks of Anjali, Mohan and Rama before the review: $38,34,6$ respectively.

$\therefore$ Anjali’s marks $(38)$ exceeded Rama’s marks $(6)$ by   $32$.
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