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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## A student took five papers in an examination, where the... tagged by: BTGmoderatorLU ##### This topic has 1 expert reply and 0 member replies ### Top Member ## A student took five papers in an examination, where the... 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 GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 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. 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. • 5-Day Free Trial 5-day free, full-access trial TTP Quant 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 • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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