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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 framed picture is shown above. The frame, shown shaded, is tagged by: BTGmoderatorLU ##### This topic has 2 expert replies and 0 member replies ### Top Member ## A framed picture is shown above. The frame, shown shaded, is ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Source: Official Guide A framed picture is shown above. The frame, shown shaded, is 6 inches wide and forms a border of uniform width around the picture. What are the dimensions of the viewable portion of the picture? 1. The area of the shaded region is 24 square inches. 2. The frame is 8 inches tall. The OA is C. ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1984 messages Followed by: 30 members Upvotes: 470 BTGmoderatorLU wrote: Source: Official Guide A framed picture is shown above. The frame, shown shaded, is 6 inches wide and forms a border of uniform width around the picture. What are the dimensions of the viewable portion of the picture? 1. The area of the shaded region is 24 square inches. 2. The frame is 8 inches tall. The OA is C. Say the uniform width of the frame = a inches and the height of the frame = X inches Dimensions of the picture: Width = 6 - 2a and Height = X - 2a We have to get the values of (6 - 2a) and (X - 2a). Question rephrased: What's the value of a and X? Let's take each statement one by one. 1. The area of the shaded region is 24 square inches. => 2[6*a + (X - 2a)*a] = 24 6a + Xa - 2a^2 = 12 Can't get the value of a and X. Insufficient. 2. The frame is 8 inches tall. => X = 8. But, we don't have the value of a. Insufficient. (1) and (2) together Plugging-in the value of X = 8 in 6a + Xa - 2a^2 = 12, we get 6a + Xa - 2a^2 = 12 => 6a + 8a - 2a^2 = 12 => 14a - 2a^2 = 12 => a^2 - 7a + 6 = 0 => (a - 6)(a - 1) = 0 => a = 6 or 1. a cannot be 6 because if it were 6, then there would be no border at all as the width itself = 6 inches. => a = 1 So, we have X = 8 and a = 1. Sufficient. The correct answer: C Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Jayanagar | Dilsukhnagar | Himayatnagar | Visakhapatnam | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15362 messages Followed by: 1866 members Upvotes: 13060 GMAT Score: 790 BTGmoderatorLU wrote: Source: Official Guide A framed picture is shown above. The frame, shown shaded, is 6 inches wide and forms a border of uniform width around the picture. What are the dimensions of the viewable portion of the picture? 1. The area of the shaded region is 24 square inches. 2. The frame is 8 inches tall. Statement 1: Test one case that also satisfies Statement 2. Case 1: The frame is 8 inches tall, with the result that the total area of the frame and picture combined = 6*8 = 48 Area of the picture = (total area) - (shaded region) = 48-24 = 24. Implication: The width of the frame is 1 inch, yielding for the picture a base of 4 and a height of 6. Cases 2: The frame is MORE than 8 inches tall Here, the area of the picture will be MORE than 24, with the result that the dimensions of the picture will NOT be 4 inches by 6 inches. Since the dimensions of the picture can be different values. INSUFFICIENT. Statement 2: Since the width of the frame is unknown, the area of the picture can be different values. As a result, the dimensions of the picture can be different values. INSUFFICENT. Statements combined: Only Case 1 satisfies both statements, with the result that the picture has a base of 4 and a height of 6. SUFFICIENT. The correct answer is C. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. • 5-Day Free Trial 5-day free, full-access trial TTP Quant 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 • 1 Hour Free 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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