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SSC CGL 2021 PYQ — Question 55

SSC CGL - 23 Aug 2021 - Shift 1 • Quantitative Aptitude • Q55

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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 smae marks in other subjects, then his avegae score would have been 72.6. How many papers were there in the examination?

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Correct answer: C

Explanation

The correct answer is Option 3 i.e 11.

Let's assume the total number of papers is x and some of the marks of students is y.

Average = yx\frac{y}{x} = 67.6 

⇒ y = 67.6x

New average = y+27+10+18x=72.6\frac {y+27+10+18}{x}=72.6 

Put the value of y in the above equation.

⇒  67.6x + 55 = 72.6x

⇒  5x = 55

x = 11

The total number of papers x = 11