GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 18 Apr 2019, 15:34

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

If m/n = 7/4, what is the value of m + n ?

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 54370
If m/n = 7/4, what is the value of m + n ?  [#permalink]

Show Tags

06 Aug 2017, 07:46
00:00

Difficulty:

35% (medium)

Question Stats:

85% (01:14) correct 15% (02:18) wrong based on 46 sessions

HideShow timer Statistics

If m/n = 7/4, what is the value of m + n ?

(1) n < 0
(2) 3m + 7n = -7

_________________
Manager
Joined: 23 May 2017
Posts: 239
Concentration: Finance, Accounting
WE: Programming (Energy and Utilities)
Re: If m/n = 7/4, what is the value of m + n ?  [#permalink]

Show Tags

06 Aug 2017, 07:56
B

Solving B and given equation in the question gives me n = 4/7 and hence I get the value of m + n = 11/7

however as per statement 1 ] n < 0 which is not true - we get n as + ve

Should not the statements give one answer.B is actually contradicting the statement 2
_________________
If you like the post, please award me Kudos!! It motivates me
GMAT Tutor
Joined: 24 Jun 2008
Posts: 1418
Re: If m/n = 7/4, what is the value of m + n ?  [#permalink]

Show Tags

06 Aug 2017, 08:02
1
Bunuel wrote:
If m/n = 7/4, what is the value of m + n ?

(1) n < 0
(2) 3m + 7n = 7

If m/n is positive, then m and n are both positive or both negative. If, as Statement 1 tells us, n is negative, then m must also be negative. But in that case, 3m + 7n would be negative, so could not equal 7, so Statement 2 could not be true. So unless I'm missing something (a bit early in the morning for me! ) the statements seem to be inconsistent. I wonder if perhaps a negative sign is missing somewhere?
_________________
GMAT Tutor in Toronto

If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com
Director
Joined: 06 Jan 2015
Posts: 628
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
Re: If m/n = 7/4, what is the value of m + n ?  [#permalink]

Show Tags

06 Aug 2017, 08:15
Bunuel Can you please validate the both Statement? the statements seem to be inconsistent!!! Agree with IanStewart
_________________
आत्मनॊ मोक्षार्थम् जगद्धिताय च

Resource: GMATPrep RCs With Solution
Math Expert
Joined: 02 Sep 2009
Posts: 54370
Re: If m/n = 7/4, what is the value of m + n ?  [#permalink]

Show Tags

06 Aug 2017, 08:54
IanStewart wrote:
Bunuel wrote:
If m/n = 7/4, what is the value of m + n ?

(1) n < 0
(2) 3m + 7n = 7

If m/n is positive, then m and n are both positive or both negative. If, as Statement 1 tells us, n is negative, then m must also be negative. But in that case, 3m + 7n would be negative, so could not equal 7, so Statement 2 could not be true. So unless I'm missing something (a bit early in the morning for me! ) the statements seem to be inconsistent. I wonder if perhaps a negative sign is missing somewhere?

Copy/paste error. Edited. Thank you.
_________________
Retired Moderator
Joined: 25 Feb 2013
Posts: 1215
Location: India
GPA: 3.82
If m/n = 7/4, what is the value of m + n ?  [#permalink]

Show Tags

06 Aug 2017, 09:17
1
1
Bunuel wrote:
If m/n = 7/4, what is the value of m + n ?

(1) n < 0
(2) 3m + 7n = -7

the ratio of $$m:n = 7:4$$. so let $$m = 7x$$ & $$n = 4x$$. we need to find $$m+n = 7x+4x = 11x$$. we need the value of $$x$$

Statement 1: provides $$n$$ is negative so $$m$$ also has to be negative for the ratio to be positive. but we don't have any information to calculate the value of $$m$$ or $$n$$. Hence insufficient

Statement 2: substituting the value of $$m$$ & $$n$$ in the equation
$$3*7x +7*4x = -7$$ or $$49x = -7$$ or $$x = \frac{-1}{7}$$ . hence sufficient

Option B
If m/n = 7/4, what is the value of m + n ?   [#permalink] 06 Aug 2017, 09:17
Display posts from previous: Sort by