Question: A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6 : 7 : 8 : 9 : 10. In all papers together, the candidate obtained 60% of the total marks. Then the number of papers in which he got more than 50% marks is

1. 1
2. 2
3. 3
4. 4
5. 5

“A student took five papers in an examination, where the full marks” - is a subject covered in the GMAT quantitative reasoning section. A student needs to be knowledgeable in a wide range of qualitative skills in order to successfully complete GMAT Problem Solving questions. There are 31 questions in the GMAT Quant section overall. Calculative mathematical problems must be solved in the GMAT quant topics' problem-solving section using appropriate mathematical skills.

Solutions and Explanation

Approach Solution : 1

The ratio of the marks are 6: 7: 8: 9: 10.
Total Marks = 6x + 7x + 8x + 9x + 10x = 40x.

We are given that 40x = 60% of the total marks
Total Marks = (40x)/0.6 = 200x/3
Total Marks in each subject = (200x/3)/5 = (40x)/3 =
50% of (40x)/3 = (20x)/3 = 6.66x

Therefore 7x, 8x, 9x, 10x are greater than 50% of the marks in each subject

As a result, there are 4 subjects greater than 50% of the marks in each subject.

Correct Answer: (D)

Approach Solution : 1

Let the grades be earned in the following order of the five subjects : 6x, 7x, 8x, 9x, and 10x.
Score on average: 60%
(6x+7x+8x+9x+10x)/5 = 60/100
Therefore, 40x/5 = 60/100
X = (60*5)/100*40 = 3/40 = 0.075
Therefore the marks are 0.45, 0.525, 0.6, 0.675 and 0.75 respectively.

As a result, we get 45%, 52.5%, 60%, 67.5% and 75% as the scores consecutively.
Four of the subjects have more than 50% score

Correct Answer: (D)

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