• Free Practice Test & Review
How would you score if you took the GMAT

Available with Beat the GMAT members only code

• Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

• Free Trial & Practice Exam
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• Get 300+ Practice Questions
25 Video lessons and 6 Webinars for FREE

Available with Beat the GMAT members only code

• Award-winning private GMAT tutoring
Register now and save up to \$200

Available with Beat the GMAT members only code

• 5-Day Free Trial
5-day free, full-access trial TTP Quant

Available with Beat the GMAT members only code

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• 5 Day FREE Trial
Study Smarter, Not Harder

Available with Beat the GMAT members only code

• Free Veritas GMAT Class
Experience Lesson 1 Live Free

Available with Beat the GMAT members only code

## A student took five papers in an examination, where the...

tagged by: LUANDATO

This topic has 1 expert reply and 0 member replies

### Top Member

LUANDATO Master | Next Rank: 500 Posts
Joined
15 Oct 2017
Posted:
320 messages
Followed by:
1 members

#### A student took five papers in an examination, where the...

Wed Dec 06, 2017 10:35 am
A student took five papers in an examination, where the full marks were the same for each paper. His marks in this papers were in the proportion of 6:7:8:9:10. In all papers together, the candidate obtain 60% of the total marks. Then the number of papers in which he got more than 50% marks is,

A. 2
B. 3
C. 4
D. 5
E. 1

The OA is C.

I'm confused with this PS question. Please, can any expert assist me with it? Thanks in advanced.

### GMAT/MBA Expert

EconomistGMATTutor GMAT Instructor
Joined
04 Oct 2017
Posted:
456 messages
Followed by:
10 members
180
Wed Dec 06, 2017 1:35 pm
Quote:
A student took five papers in an examination, where the full marks were the same for each paper. His marks in this papers were in the proportion of 6:7:8:9:10. In all papers together, the candidate obtain 60% of the total marks. Then the number of papers in which he got more than 50% marks is,

A. 2
B. 3
C. 4
D. 5
E. 1

The OA is C.

I'm confused with this PS question. Please, can any expert assist me with it? Thanks in advanced.
Hi LUANDATO,
Lets take a look at your question.

The marks of a student in five papers are in the proportion:
$$6:7:8:9:10$$

Sum of the proportions = 6 + 7 + 8 + 9 + 10 = 40

In all papers together, the candidate obtain 60% of the total marks.
Let the total marks be x, then,
$$x\left(60\%\right)=40$$
$$x\left(\frac{60}{100}\right)=40$$
$$x=40\times\frac{100}{60}\approx66.67$$

So the total marks are 66.67
Since there were five papers, where the full marks were the same for each paper. Hence, we can find the total marks for each of the five papers.
Total marks of each paper can be calculated as:
$$\frac{66.67}{5}\approx13.33$$

We are asked to find the number of papers in which he got more than 50% marks.
So we will first find 50% for each paper.
Total marks for each paper = 13.33
50% marks for each paper = 13.33/2 = 6.67

Now, we can easily see from the given proportion that how many of the marks are greater than 6.67.
$$6:7:8:9:10$$
We can see that four of the marks i.e. 7, 8, 9 and 10 are greater than 6.67 i.e. 50% marks.

Therefore, Option C is correct.

Hope it helps.
I am available if you'd like any follow up.

_________________
GMAT Prep From The Economist
We offer 70+ point score improvement money back guarantee.
Our average student improves 98 points.

Thanked by: LUANDATO
Free 7-Day Test Prep with Economist GMAT Tutor - Receive free access to the top-rated GMAT prep course including a 1-on-1 strategy session, 2 full-length tests, and 5 ask-a-tutor messages. Get started now.

### Best Conversation Starters

1 Roland2rule 175 topics
2 lheiannie07 110 topics
3 ardz24 56 topics
4 LUANDATO 52 topics
5 swerve 49 topics
See More Top Beat The GMAT Members...

### Most Active Experts

1 Brent@GMATPrepNow

GMAT Prep Now Teacher

157 posts
2 GMATGuruNY

The Princeton Review Teacher

126 posts
3 Scott@TargetTestPrep

Target Test Prep

113 posts
4 Rich.C@EMPOWERgma...

EMPOWERgmat

106 posts
5 Jeff@TargetTestPrep

Target Test Prep

79 posts
See More Top Beat The GMAT Experts