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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 ## 25 integers are written on a board. Are there at least two tagged by: BTGmoderatorLU ##### This topic has 1 expert reply and 0 member replies ### Top Member ## 25 integers are written on a board. Are there at least two ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Source: Veritas Prep 25 integers are written on a board. Are there at least two consecutive integers among them? 1. For every value in the list, if the value is increased by 1, the number of distinct values in the list does not change. 2. At least one value occurs more than once in the list. The OA is C. ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15351 messages Followed by: 1864 members Upvotes: 13060 GMAT Score: 790 The wording in Statement 1 does not convey a clear meaning: For every value in the list, if the value is increased by 1, the number of distinct values in the list does not change. Here, the term in red could convey to some test-takers that EVERY VALUE in the list is to be increased by 1. Not the intended meaning, since increasing every value by 1 will clearly have no effect on the number of distinct values in the list. I believe that the following reflects the intended meaning of Statement 1: Quote: 25 integers are written on a board. Are there at least two consecutive integers among them? 1: If any single value in the list is increased by 1, the number of distinct values in the list does not change. 2: At least one value occurs more than once in the list. Each of the cases tested below is composed of integers in ASCENDING ORDER. {1, 1, 1...1, 1, 2} implies the following 25 integers: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2}. Statement 1: If any single value in the list is increased by 1, the number of different distinct values in the list does not change. Test one case that also satisfies statement 2. Case 1: {1, 1, 1...1, 1, 2}, for a total of two distinct values Here, if 1 increases to 2, or if 2 increases to 3, the list will still contain two distinct values. In this case, the list contains at least two consecutive integers, so the answer to the question stem is YES. Test one case that doesn't also satisfy statement 2. Case 2: {1, 3, 5...45, 47, 49}, for a total of 25 distinct values Here, if any integer in the list increases by 1, the list will still contain 25 distinct values. In this case, the list does not contain at least two consecutive integers, so the answer to the questions stem is NO. INSUFFICIENT. Statement 2: At least one value occurs more than once in the list Case 1 also satisfies statement 2. In Case 1, the list contains at least two consecutive integers, so the answer to the question stem is YES. Case 3: {1, 1, 1...1, 1, 1} In this case, the list does not contain at least two consecutive integers, so the answer to the questions stem is NO. INSUFFICIENT. Statements combined: Case 1 satisfies both statements. Try adjusting Case 1 so that it does NOT contain at least two consecutive integers. Case 4: {1, 1, 1...1, 1, 3}, for a total of two distinct values Not viable: If one of the 1's increases to 2, then the number of distinct values will increase from two to three, violating the constraint in statement 1. Implication: To satisfy both statements, the list MUST contain at least two consecutive integers, so the answer to the question stem is YES. 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. • FREE GMAT Exam Know how you'd score today for$0

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