In the figure above, what is the ratio KN/MN? : GMAT Data Sufficiency (DS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 24 Feb 2017, 22:26

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# In the figure above, what is the ratio KN/MN?

Author Message
TAGS:

### Hide Tags

Director
Joined: 07 Jun 2004
Posts: 612
Location: PA
Followers: 5

Kudos [?]: 734 [4] , given: 22

In the figure above, what is the ratio KN/MN? [#permalink]

### Show Tags

12 Aug 2010, 13:42
4
KUDOS
10
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

57% (01:55) correct 43% (01:06) wrong based on 339 sessions

### HideShow timer Statistics

In the figure above, what is the ratio KN/MN?

(1) The perimeter of rectangle KLMN is 30 meters.
(2) The three small rectangles have the same dimensions.

[Reveal] Spoiler:
Attachment:

ds.jpg [ 13.75 KiB | Viewed 8315 times ]

Attachment:

2015-06-05_1517.png [ 3.84 KiB | Viewed 4443 times ]
[Reveal] Spoiler: OA

_________________

If the Q jogged your mind do Kudos me : )

Last edited by Bunuel on 05 Jun 2015, 03:18, edited 2 times in total.
Edited the question and added the OA
Math Expert
Joined: 02 Sep 2009
Posts: 37108
Followers: 7254

Kudos [?]: 96552 [6] , given: 10753

In the figure above, what is the ratio KN/MN? [#permalink]

### Show Tags

12 Aug 2010, 14:07
6
KUDOS
Expert's post
2
This post was
BOOKMARKED

What is the ratio KN/MN?

(1) The perimeter of rectangle KLMN is 30 meters. Clearly insufficient as numerous combinations of sides will make a perimeter of 30.

(2) The 3 small rectangles have the same dimensions --> let the shorter sides of small rectangles be $$x$$ and longer side be $$y$$, so $$KN=LM=y$$ and $$MN=x+y$$. Also two smaller sides add up to bigger side, so $$x+x=2x=y$$ (LM, or KN, which is $$y$$ equal to the sum of 2 shorter sides). $$\frac{KN}{MN}=\frac{y}{x+y}=\frac{2x}{x+2x}=\frac{2}{3}$$. Sufficient.

_________________
Director
Joined: 07 Jun 2004
Posts: 612
Location: PA
Followers: 5

Kudos [?]: 734 [0], given: 22

Re: In the figure above, what is the ratio KN/MN? [#permalink]

### Show Tags

12 Aug 2010, 14:21
ah ... right ...

thank you i missed that part where

"Also two smaller sides add up to bigger side"
_________________

If the Q jogged your mind do Kudos me : )

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13958
Followers: 590

Kudos [?]: 167 [0], given: 0

Re: In the figure above, what is the ratio KN/MN? [#permalink]

### Show Tags

15 May 2014, 11:08
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13958
Followers: 590

Kudos [?]: 167 [0], given: 0

Re: In the figure above, what is the ratio KN/MN? [#permalink]

### Show Tags

05 Jun 2015, 02:32
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 8565
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Followers: 398

Kudos [?]: 2562 [0], given: 166

Re: In the figure above, what is the ratio KN/MN? [#permalink]

### Show Tags

05 Jun 2015, 10:33
Hi All,

This is a great 'pattern-matching' question, and you can TEST VALUES to prove that the pattern exists.

Since this is a DS question, we can't trust that the picture is drawn to scale. While it certainly appears that the 3 smaller rectangles are the same size, we don't know that for sure.

We're asked for the ratio of KN to MN...

Fact 1: The perimeter of rectangle KLMN is 30 meters.

This gives us the dimensions of the larger rectangle, but we don't know the dimensions of its 2 sides.

IF...
KN = 3 and MN = 10, then the answer to the question is 3/10

IF...
KN = 5 and MN = 16, then the answer to the question is 5/6
Fact 1 is INSUFFICIENT

Fact 2: The three small rectangles have the same dimensions.

Now THIS is an interesting piece of information. Since the small rectangles are all exactly the same, we can see that in each of those smaller rectangles....TWICE the SHORT side = LONG side

IF...
Long side = 2 and Short side = 1, then the answer to the question is 2/3

IF...
Long side = 4 and Short side = 2, then the answer to the question is 4/6 = 2/3

IF...
Long side = 3 and Short side = 1.5, then the answer to the question is 3/4.5 = 2/3

Fact 2 is SUFFICIENT

[Reveal] Spoiler:
B

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

# Rich Cohen

Co-Founder & GMAT Assassin

# Special Offer: Save \$75 + GMAT Club Tests

60-point improvement guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13958
Followers: 590

Kudos [?]: 167 [0], given: 0

Re: In the figure above, what is the ratio KN/MN? [#permalink]

### Show Tags

24 Jun 2016, 07:40
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Senior Manager
Joined: 26 Oct 2016
Posts: 279
Location: United States
Schools: HBS '19
GPA: 4
WE: Education (Education)
Followers: 13

Kudos [?]: 24 [0], given: 708

Re: In the figure above, what is the ratio KN/MN? [#permalink]

### Show Tags

26 Jan 2017, 06:24
Statement (2) gives us a lot, including what we need to answer the question.

2) The three small rectangles have the same dimensions.

First, we now know that all 3 shapes are rectangles. Second, we know that they're identical rectangles.

Let's label all the short sides w and the long sides l.

From the diagram, we can now see that 2w is the same as l (since LM = KN), so we know the relationship between w and l.

So, let's go back to the original question:

What's KN/MN?

KN = l and MN = l + w

Subbing in l = 2w, we get:

KN = 2w and MN = 2w + w = 3w

and

KN/MN = 2w/3w = 2/3... sufficient.
_________________

Thanks & Regards,
Anaira Mitch

Re: In the figure above, what is the ratio KN/MN?   [#permalink] 26 Jan 2017, 06:24
Similar topics Replies Last post
Similar
Topics:
2 What is the ratio of AB to BC in the rectangular figure above? 1 22 May 2016, 12:32
4 In the figure above, what is the value of b? 3 03 Jan 2016, 10:46
5 In the figure above, what is the length of AD? 7 22 Dec 2014, 07:56
5 What is the perimeter of the triangle in the figure above? 2 23 Jul 2014, 01:01
2 In the figure above, what is the ratio of the area of triangle ABC to 9 08 Jan 2012, 03:59
Display posts from previous: Sort by