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

 It is currently 18 Sep 2018, 16:29

### 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 = 3x + 4y for x, y > 0. Find the minimum value of m.

Author Message
Senior Manager
Joined: 08 Jun 2013
Posts: 323
Location: India
GMAT 1: 200 Q1 V1
GPA: 3.82
WE: Engineering (Other)
If m = 3x + 4y for x, y > 0. Find the minimum value of m.  [#permalink]

### Show Tags

Updated on: 26 Aug 2018, 02:42
1
00:00

Difficulty:

55% (hard)

Question Stats:

55% (00:58) correct 45% (01:20) wrong based on 11 sessions

### HideShow timer Statistics

If m = 3x + 4y for x, y > 0. Find the minimum value of m.

(1) When m is minimum distance between X and Y intercepts in a co-ordinate plane is 15/2 .

(2) xy = 27/4

_________________

It seems Kudos button not working correctly with all my posts...

Please check if it is working with this post......

is it?....

Anyways...Thanks for trying

Originally posted by Harshgmat on 25 Aug 2018, 19:36.
Last edited by Bunuel on 26 Aug 2018, 02:42, edited 5 times in total.
Renamed the topic and edited the question.
Senior Manager
Joined: 31 Jul 2017
Posts: 458
Location: Malaysia
GMAT 1: 700 Q50 V33
GPA: 3.95
WE: Consulting (Energy and Utilities)
Re: If m = 3x + 4y for x, y > 0. Find the minimum value of m.  [#permalink]

### Show Tags

Updated on: 25 Aug 2018, 20:56
Harshgmat wrote:
If m = 3x + 4y Find the minimum value of m.

1) When minimum distance between X and Y intercepts in a co-ordinate plane is 15/2 .

2) xy = 27

Hi Harshgmat

Statement I:

$$25 m^2/16*9 = 225/4$$

m = 18

Statement II:

$$x = 27/4y$$
$$m = 81/4y + 4y$$
$$y = 9/4, x = 3$$
$$m = 18$$.

Hence, D.
_________________

If my Post helps you in Gaining Knowledge, Help me with KUDOS.. !!

Originally posted by rahul16singh28 on 25 Aug 2018, 20:06.
Last edited by rahul16singh28 on 25 Aug 2018, 20:56, edited 3 times in total.
Senior Manager
Joined: 08 Jun 2013
Posts: 323
Location: India
GMAT 1: 200 Q1 V1
GPA: 3.82
WE: Engineering (Other)
Re: If m = 3x + 4y for x, y > 0. Find the minimum value of m.  [#permalink]

### Show Tags

Updated on: 25 Aug 2018, 20:57
rahul16singh28 wrote:
Harshgmat wrote:
If m = 3x + 4y Find the minimum value of m.

1) When minimum distance between X and Y intercepts in a co-ordinate plane is 15/2 .

2) xy = 27

Hi Harshgmat

Not sure, if we are missing anything in the question or if there is any flaw in my logic.

Statement I:

$$25 m^2/16*9 = 225/4$$

m = 18

Statement II:

$$x = 27/y$$
$$m = 81/y + 4y$$
$$y = 9/2, x = 6$$
$$m = 36$$.

For the same value of m, I am getting two different answers from the two statements. But as Statement I says, the distance is minimum between the two Intercepts - so, m(min) = 18. Hence, A.

Hi rahul16singh28

Thanks...Edited the typo.

Does it make sense now...

Your approach for statement 2) is elegant!!
_________________

It seems Kudos button not working correctly with all my posts...

Please check if it is working with this post......

is it?....

Anyways...Thanks for trying

Originally posted by Harshgmat on 25 Aug 2018, 20:44.
Last edited by Harshgmat on 25 Aug 2018, 20:57, edited 1 time in total.
Senior Manager
Joined: 31 Jul 2017
Posts: 458
Location: Malaysia
GMAT 1: 700 Q50 V33
GPA: 3.95
WE: Consulting (Energy and Utilities)
Re: If m = 3x + 4y for x, y > 0. Find the minimum value of m.  [#permalink]

### Show Tags

25 Aug 2018, 20:50
Harshgmat wrote:
rahul16singh28 wrote:
Harshgmat wrote:
If m = 3x + 4y Find the minimum value of m.

1) When minimum distance between X and Y intercepts in a co-ordinate plane is 15/2 .

2) xy = 27

Hi Harshgmat

Not sure, if we are missing anything in the question or if there is any flaw in my logic.

Statement I:

$$25 m^2/16*9 = 225/4$$

m = 18

Statement II:

$$x = 27/y$$
$$m = 81/y + 4y$$
$$y = 9/2, x = 6$$
$$m = 36$$.

For the same value of m, I am getting two different answers from the two statements. But as Statement I says, the distance is minimum between the two Intercepts - so, m(min) = 18. Hence, A.

Hi rahul16singh28

Thanks...Edited the typo.

Does it make sense now...

Your approach for sentence 2) is elegant!!

Yeah.. now the answer should be D:).. Thanks..!!
_________________

If my Post helps you in Gaining Knowledge, Help me with KUDOS.. !!

Math Expert
Joined: 02 Aug 2009
Posts: 6785
Re: If m = 3x + 4y for x, y > 0. Find the minimum value of m.  [#permalink]

### Show Tags

25 Aug 2018, 22:38
Harshgmat wrote:
If m = 3x + 4y Find the minimum value of m.

1) When minimum distance between X and Y intercepts in a co-ordinate plane is 15/2 .

2) xy = 27/4

The question is flawed. It is nowhere mentioned that x and y are positive so xy =27/4 can mean x= -1000 and y = -27/4000
So 3x+4y = 3*-1000+4*(-27/4000)=-3000-27/1000
Ofcourse the value can go to ' - infinity'

Also statement I is awkward
1) WHEN min distance ....
When seems to be giving some scenario and not a condition..
So it should have been merely
1) min distance....
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Senior Manager
Joined: 08 Jun 2013
Posts: 323
Location: India
GMAT 1: 200 Q1 V1
GPA: 3.82
WE: Engineering (Other)
Re: If m = 3x + 4y for x, y > 0. Find the minimum value of m.  [#permalink]

### Show Tags

25 Aug 2018, 22:56
chetan2u wrote:
Harshgmat wrote:
If m = 3x + 4y Find the minimum value of m.

1) When minimum distance between X and Y intercepts in a co-ordinate plane is 15/2 .

2) xy = 27/4

The question is flawed. It is nowhere mentioned that x and y are positive so xy =27/4 can mean x= -1000 and y = -27/4000
So 3x+4y = 3*-1000+4*(-27/4000)=-3000-27/1000
Ofcourse the value can go to ' - infinity'

Also statement I is awkward
1) WHEN min distance ....
When seems to be giving some scenario and not a condition..
So it should have been merely
1) min distance....

chetan2u

You are right...

if it is given that x, y >0 then does that make given statements sufficient ?
_________________

It seems Kudos button not working correctly with all my posts...

Please check if it is working with this post......

is it?....

Anyways...Thanks for trying

Re: If m = 3x + 4y for x, y > 0. Find the minimum value of m. &nbs [#permalink] 25 Aug 2018, 22:56
Display posts from previous: Sort by

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.