Question 64

In an examination, the average score of a student was 67.6. If he would have got 27 more marks in Mathematics, 10 more marks in Computer Science, 18 more marks in History and retained the same marks in other subjects, then his average score would have been 72.6. How may papers were there in the examination?

Solution

Let the number of papers = n

The average score of a student was 67.6.

Sum of the scores of the student = 67.6n

Average after the increase in marks = 72.6

Sum of the scores of the student after increase in marks = 72.6n

$$\Rightarrow$$ 67.6n + 27 + 10 + 18 = 72.6n

$$\Rightarrow$$ 5n = 55

$$\Rightarrow$$ n = 11

Number of papers in the examination = n = 11

Hence, the correct answer is Option A

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