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Register now and save up to $200 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: 186 messages #### is x/3 < x ? Sat Nov 04, 2017 6:53 am Elapsed Time: 00:00 • Lap #[LAPCOUNT] ([LAPTIME]) $$Is\ \ \frac{x}{3}$$\left(1\right)\ \ x<\ 0(2)\ \ x\ \ does\ \ not\ \ equal\ -1.$$The OA is A. I need help to solve this DS question. Please, can any expert explain it for me? Thanks. Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums! ### GMAT/MBA Expert DavidG@VeritasPrep Legendary Member Joined 14 Jan 2015 Posted: 2368 messages Followed by: 115 members Thanked: 1117 times GMAT Score: 770 Sun Nov 05, 2017 8:48 am LUANDATO wrote:$$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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### GMAT/MBA Expert

Rich.C@EMPOWERgmat.com Elite Legendary Member
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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

GMAT assassins aren't born, they're made,
Rich

_________________
Contact Rich at Rich.C@empowergmat.com

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