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Register now and save up to $200 Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Free Trial & Practice Exam 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 ## is x/3 < x ? tagged by: LUANDATO This topic has 2 expert replies and 0 member replies ### Top Member LUANDATO Master | Next Rank: 500 Posts Joined 15 Oct 2017 Posted: 309 messages Followed by: 1 members #### is x/3 < x ? Sat Nov 04, 2017 6:53 am $$Is\ \ \frac{x}{3}$$\left(1\right)\ \ x<\ 0(2)\ \ x\ \ does\ \ not\ \ equal\ -1.$$The OA is A. I need help to solve this DS question. Please, can any expert explain it for me? Thanks. Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums! ### GMAT/MBA Expert Rich.C@EMPOWERgmat.com Elite Legendary Member Joined 23 Jun 2013 Posted: 9065 messages Followed by: 472 members Upvotes: 2867 GMAT Score: 800 Thu Nov 09, 2017 11:44 am Hi LUANDATO, We're asked if X/3 is less than X. This is a YES/NO question and we can solve it with a mix of Number Property Rules and by TESTing VALUES. 1) X < 0 Fact 1 tells us that X is NEGATIVE. When dividing a negative number by 3, the result is ALWAYS CLOSER to 0 than X is. For example: IF... X = -3, then (-3)/3 = -1 and -1 is closer to zero than -3 is... so the answer to the question is NO. This pattern exists with ANY negative number, so the answer to the question is ALWAYS NO. Fact 1 is SUFFICIENT 2) X does NOT equal -1 IF... X = -3, then (-3)/3 = -1 and -1 is closer to 0 than -3 is... so the answer to the question is NO. X = 3, then 3/3 = 1... so the answer to the question is YES. Fact 2 is INSUFFICIENT Final Answer: A GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com Thanked by: LUANDATO ### GMAT/MBA Expert DavidG@VeritasPrep Legendary Member Joined 14 Jan 2015 Posted: 2535 messages Followed by: 116 members Upvotes: 1153 GMAT Score: 770 Sun Nov 05, 2017 8:48 am LUANDATO wrote:$$Is\ \ \frac{x}{3} $$\left(1\right)\ \ x<\ 0$$ $$(2)\ \ x\ \ does\ \ not\ \ equal\ -1.$$ The OA is A. I need help to solve this DS question. Please, can any expert explain it for me? Thanks. A rephrase is helpful here. Start by multiplying both sides of the inequality in question by 3. " Is x/3 < x?", becomes Is x < 3x? Subtract 'x' from both sides Is 0 < 2x? Divide both sides by 2 Is 0 < x? Statement 1: Well if x < 0, we know it's not greater than 0, so this statement alone is sufficient. Statement 2: Clearly not sufficient. x could be -10 or 10, etc. The answer is A _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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