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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 ## If s and t are two different numbers on the number line, is ##### This topic has 3 expert replies and 0 member replies ### Top Member ## If s and t are two different numbers on the number line, is ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult If s and t are two different numbers on the number line, is s + t = 0 ? (1) Distance between s and 0 is the same as distance between t and 0 (2) 0 is between s and t OA A Source: GMAT Prep ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1620 messages Followed by: 27 members Upvotes: 470 BTGmoderatorDC wrote: If s and t are two different numbers on the number line, is s + t = 0 ? (1) Distance between s and 0 is the same as distance between t and 0 (2) 0 is between s and t OA A Source: GMAT Prep Given: s and t are two different numbers on the number line. => s â‰ t Question: Is s + t = 0 ? Let's take each statement one by one. (1) Distance between s and 0 is the same as distance between t and 0. There can be two possibilities: 1. s = t; however, this is not possible since we know that s â‰ t. 2. s = -t => s + t = 0. Sufficient. (2) 0 is between s and t. Case 1: Say 0 is at midway between s and t; thus, s = -t => s + t = 0. The answer is Yes. Case 2: Say 0 is at not midway between s and t; thus, s â‰ -t => s + t â‰ 0. The answer is No. No unique answer. Insufficient. The correct answer: A Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Mumbai | Hyderabad | GRE Prep Warangal | Begumpet GRE Coaching | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 9955 messages Followed by: 493 members Upvotes: 2867 GMAT Score: 800 Hi All, We're told that S and T are two DIFFERENT numbers on the number line. We're asked if S + T = 0. This is a YES/NO question and can be solved by TESTing VALUES and a bit of Number Property logic. 1) The distance between S and 0 is the SAME as the distance between T and 0 Since S and T are DIFFERENT numbers, the only way for their respective distances from 0 to be the SAME is if S and T are 'opposites.' IF.... S = +1, T = -1; the distances from 0 are the same and S+T = (1) + (-1) = 0, so the answer to the question is YES S = -2, T = +2; the distances from 0 are the same and S+T = (-2) + (+2) = 0, so the answer to the question is YES. Etc. The answer to the question is ALWAYS YES. Fact 1 is SUFFICIENT 2) 0 is between S and T With the information in Fact 2, we know that 0 is some point between S and T, but that does NOT necessarily mean the "exact midpoint." IF... S = +1, T = -1; then S+T = (1) + (-1) = 0, so the answer to the question is YES S = +1, T = -2; then S+T = (1) + (-2) = -1, so the answer to the question is NO Fact 2 is INSUFFICIENT Final Answer: A GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com ### GMAT/MBA Expert GMAT Instructor Joined 09 Oct 2010 Posted: 1005 messages Followed by: 27 members Upvotes: 59 BTGmoderatorDC wrote: If s and t are two different numbers on the number line, is s + t = 0 ? (1) Distance between s and 0 is the same as distance between t and 0 (2) 0 is between s and t Source: GMAT Prep $$s \ne t\,\,\,\,\left( * \right)$$ $$s + t\,\,\mathop = \limits^? \,\,0$$ $$\left( 1 \right)\,\,\,\left| s \right| = \left| t \right|\,\,\,\,\mathop \Rightarrow \limits^{\left( * \right)} \,\,\,\,s = - t\,\,\,\,\, \Rightarrow \,\,\,\,\,\left\langle {{\rm{YES}}} \right\rangle$$ $$\left( 2 \right)\,\,\,st < 0\,\,\,\,\left\{ \matrix{ \,{\rm{Take}}\,\,\left( {s,t} \right) = \left( { - 1,1} \right)\,\,\,\, \Rightarrow \,\,\,\,\left\langle {{\rm{YES}}} \right\rangle \hfill \cr \,{\rm{Take}}\,\,\left( {s,t} \right) = \left( { - 1,0.5} \right)\,\,\,\, \Rightarrow \,\,\,\,\left\langle {{\rm{NO}}} \right\rangle \hfill \cr} \right.$$ This solution follows the notations and rationale taught in the GMATH method. Regards, Fabio. _________________ Fabio Skilnik :: https://GMATH.net (Math for the GMAT) or https://GMATH.com.br (Portuguese version) Course release PROMO : finish our test drive till 30/Dec with (at least) 50 correct answers out of 92 (12-questions Mock included) to gain a 50% discount! • 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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