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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 ## Posting two similar questions together to clarify a doubt ##### This topic has 1 expert reply and 1 member reply ## Posting two similar questions together to clarify a doubt Posting two similar questions together. The first one is simple, and another is also same but i am not able to understand the last calculation part. Q1. What is the maximum number of 1 1/4 =5/4 foot pieces of wire that can be cut from a wire that is 24 feet long? (A) 11 (B) 18 (C) 19 (D) 20 (E) 30 OA is C dividing 24 by 5/4 = 19.2. So here i know answer is C Now Q2. What is the maximum number of 1 3/4 = 7/4 foot pieces of wood that can be cut from 4 pieces of wood that are 12 feet in length ? (A) 6 (B) 14 (C) 21 (D) 24 (E) 27 OA is E Here, i am doing exactly the same thing and getting 27.2 i.e E, but answer is D. I have explanations of both the questions, but i am a little confused. Please clarify. Thanks ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Quote: Posting two similar questions together. The first one is simple, and another is also same but i am not able to understand the last calculation part. Q1. What is the maximum number of 1 1/4 =5/4 foot pieces of wire that can be cut from a wire that is 24 feet long? (A) 11 (B) 18 (C) 19 (D) 20 (E) 30 OA is C dividing 24 by 5/4 = 19.2. So here i know answer is C Now Q2. What is the maximum number of 1 3/4 = 7/4 foot pieces of wood that can be cut from 4 pieces of wood that are 12 feet in length ? (A) 6 (B) 14 (C) 21 (D) 24 (E) 27 OA is E Here, i am doing exactly the same thing and getting 27.2 i.e E, but answer is D. Hi vinni.k, Let's take a look at question 1. In the first question, we are given a wire of 24 ft long and we are asked to cut 5/4 foot pieces of wire. We just need to divide 24 by 5/4 to find the maximum number of 5/4 foot pieces. So it will be $$24\div\frac{5}{4}$$ $$=24\times\frac{4}{5}$$ $$=\frac{96}{5}$$ $$=19.2$$ Hence, there will be 19 pieces of 5/4 foot length. You did it correctly. Now let's move on to Question 2. Question 2 states: What is the maximum number of 1 3/4 = 7/4 foot pieces of wood that can be cut from 4 pieces of wood that are 12 feet in length ? In this question, we are told that we have 4 pieces of wood each of length 12 feet. And we need to cut 7/4 foot pieces. Let's find out how many 7/4 foot pieces can we cut from the first piece of 12 ft. Same logic: Divide 12 by 7/4 $$12\div\frac{7}{4}$$ $$=12\times\frac{4}{7}$$ $$=\frac{48}{7}$$ $$=6.8$$ It means the we can cut 6 full pieces of length 7/4 but the rest of the piece will be of less length. I think, at this point you made a mistake of rounding off 6.8 to 7. But we can not do it. Because we only need to count those pieces of wood that have a length of 7/4 ft. It means from a 12 ft piece of wood we can only cut 6 pieces of length 7/4 ft. So from 4 pieces of wood that are 12 feet in length, we will be able to cut 6 x 4 = 24 pieces each of length 7/4 ft. Therefore, Option D is correct. Hope it makes sense. 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. Master | Next Rank: 500 Posts Joined 17 Apr 2011 Posted: 421 messages Followed by: 2 members Upvotes: 6 Test Date: 2016 Target GMAT Score: 700+ GMAT Score: 620 Thanks Now, It is clear to me. I can visualise the 6 pieces of wood of length 7/4. Regards • 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 • FREE GMAT Exam Know how you'd score today for$0

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