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# M60-16

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6661
GMAT 1: 760 Q51 V42
GPA: 3.82

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11 Jun 2018, 05:31
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 100% (01:58) wrong based on 3 sessions

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Is $$n < 0$$?

1) $$n - 1 < 0$$

2) $$|3 - n| > |n + 5|$$

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6661 GMAT 1: 760 Q51 V42 GPA: 3.82 Re M60-16 [#permalink] ### Show Tags 11 Jun 2018, 05:31 Official Solution: Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we have 1 variable (n) and 0 equations, D is most likely to be the answer. So, we should consider each of the conditions on their own first. Condition 1) :$$n - 1 < 0$$ ⇔ $$n < 1$$ Since the range of the question, $$n < 0$$ does not include that of the condition 1), $$n < 1$$, the condition 1) is not sufficient. Condition 2) : $$|3-n| > |n+5|$$ ⇔ $$|3-n|^2 > |n+5|^2$$ ⇔ $$(3-n)^2 > (n+5)^2$$ ⇔ $$n^2 -6n + 9 > n^2+10n + 25$$ ⇔ $$-16 > 16n$$ ⇔ $$n < -1$$ Since the range of the question includes that of the condition 2), the condition 2) is sufficient. Therefore, B is the answer. If the original condition includes "1 variable", or "2 variables and 1 equation", or "3 variables and 2 equations" etc., one more equation is required to answer the question. If each of conditions 1) and 2) provide an additional equation, there is a 59% chance that D is the answer, a 38% chance that A or B is the answer, and a 3% chance that the answer is C or E. Thus, answer D (conditions 1) and 2), when applied separately, are sufficient to answer the question) is most likely, but there may be cases where the answer is A,B,C or E. Answer: B _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
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Joined: 08 Jul 2018
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08 Aug 2018, 00:20
In this question and the next, why is it that similar method or solving is giving contradictory results for statement 1?
Re: M60-16 &nbs [#permalink] 08 Aug 2018, 00:20
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# M60-16

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