• NEW! FREE Beat The GMAT Quizzes
    NEW! FREE Beat The GMAT Quizzes
    NEW! FREE Beat The GMAT Quizzes
    Hundreds of Questions Highly Detailed Reporting Expert Explanations TAKE A FREE GMAT QUIZ
  • 7 CATs FREE!
    If you earn 100 Forum Points

    Engage in the Beat The GMAT forums to earn
    100 points for $49 worth of Veritas practice GMATs FREE

    Veritas Prep
    VERITAS PRACTICE GMAT EXAMS
    Earn 10 Points Per Post
    Earn 10 Points Per Thanks
    Earn 10 Points Per Upvote
    REDEEM NOW

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

This topic has 1 expert reply and 0 member replies

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

Post
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.

  • +1 Upvote Post
  • Quote
  • Flag

GMAT/MBA Expert

Post
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.

  • +1 Upvote Post
  • Quote
  • Flag
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.
  • Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • The Princeton Review
    FREE GMAT Exam
    Know how you'd score today for $0

    Available with Beat the GMAT members only code

    MORE DETAILS
    The Princeton Review
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors
  • e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer
  • Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh

Top First Responders*

1 Ian Stewart 44 first replies
2 Brent@GMATPrepNow 33 first replies
3 Scott@TargetTestPrep 32 first replies
4 Jay@ManhattanReview 24 first replies
5 GMATGuruNY 18 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

Most Active Experts

1 image description Scott@TargetTestPrep

Target Test Prep

149 posts
2 image description Max@Math Revolution

Math Revolution

93 posts
3 image description Ian Stewart

GMATiX Teacher

53 posts
4 image description Brent@GMATPrepNow

GMAT Prep Now Teacher

50 posts
5 image description GMATGuruNY

The Princeton Review Teacher

30 posts
See More Top Beat The GMAT Experts