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# If mn≠0, m/r=?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 7372
GMAT 1: 760 Q51 V42
GPA: 3.82

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Updated on: 06 Jul 2017, 10:42
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5% (low)

Question Stats:

89% (00:47) correct 11% (00:57) wrong based on 58 sessions

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If $$mr≠0, \frac{m}{r}$$=?

1) $$\frac{(m+r)}{r}=3$$
2) $$\frac{r}{(m+r)}=\frac{1}{3}$$

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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 $149 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Originally posted by MathRevolution on 06 Jul 2017, 01:21. Last edited by MathRevolution on 06 Jul 2017, 10:42, edited 1 time in total. Current Student Joined: 25 Apr 2017 Posts: 46 GMAT 1: 700 Q49 V35 WE: General Management (Education) Re: If mn≠0, m/r=? [#permalink] ### Show Tags 06 Jul 2017, 02:45 1 Statement 1: (m+r)/r can be re-written as (m/r + r/r) = 3, so m/r +1 = 3, hence, m/r = 2. This statement is SUFFICIENT. Statement 2: Cross multiply or take a reciprocal and you'll get 3r = 1(m+r), or 2r = m, so m/r = 2. This statement is Sufficient too. Answer: D Director Joined: 04 Dec 2015 Posts: 751 Location: India Concentration: Technology, Strategy WE: Information Technology (Consulting) Re: If mn≠0, m/r=? [#permalink] ### Show Tags 06 Jul 2017, 04:36 1 MathRevolution wrote: If $$mn≠0, \frac{m}{r}$$=? 1) $$\frac{(m+r)}{r}=3$$ 2) $$\frac{r}{(m+r)}=\frac{1}{3}$$ We need to find the value of $$\frac{m}{r}$$ 1) $$\frac{(m+r)}{r}= 3$$ $$\frac{m}{r} + \frac{r}{r}= 3$$ $$\frac{m}{r} + 1 = 3$$ $$\frac{m}{r} = 3 - 1$$ $$\frac{m}{r} = 2$$ Hence I is Sufficient. 2) $$\frac{r}{(m+r)}=\frac{1}{3}$$ $$3r = m+r$$ $$3r - r = m$$ $$2r = m$$ $$\frac{m}{r} = 2$$ Hence II is Sufficient. Answer (D)... _________________ Please Press "+1 Kudos" to appreciate. Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 7372 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: If mn≠0, m/r=? [#permalink] ### Show Tags 09 Jul 2017, 18:23 ==> In the original condition, there are 2 variables (m,r) and in order to match the number of variables to the number of equations, there must be 2 equations. Since there is 1 for con 1) and 1 for con 2), C is most likely to be the answer. By solving con 1) and con 2), you get con 1) = con 2), so from m/r+1=3, you get m/r=2, hence it is unique and sufficient. Therefore, the answer is D. Answer: D _________________ 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$149 for 3 month Online Course"
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Re: If mn≠0, m/r=?   [#permalink] 09 Jul 2017, 18:23
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