Last visit was: 10 Oct 2024, 20:26 It is currently 10 Oct 2024, 20:26
Close
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
SORT BY:
Date
Tags:
Difficulty: 605-655 Level,   Geometry,            
Show Tags
Hide Tags
User avatar
Joined: 07 Jun 2004
Posts: 437
Own Kudos [?]: 2956 [96]
Given Kudos: 22
Location: PA
Send PM
Most Helpful Reply
Math Expert
Joined: 02 Sep 2009
Posts: 96034
Own Kudos [?]: 667053 [34]
Given Kudos: 87587
Send PM
General Discussion
User avatar
Joined: 07 Jun 2004
Posts: 437
Own Kudos [?]: 2956 [3]
Given Kudos: 22
Location: PA
Send PM
GMAT Club Legend
GMAT Club Legend
Joined: 19 Dec 2014
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Posts: 21831
Own Kudos [?]: 11922 [0]
Given Kudos: 450
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Send PM
Re: In the figure above, what is the ratio KN/MN? [#permalink]
Expert Reply
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

The answer is ALWAYS 2/3
Fact 2 is SUFFICIENT

Final Answer:
GMAT assassins aren't born, they're made,
Rich
Joined: 26 Oct 2016
Posts: 506
Own Kudos [?]: 3434 [2]
Given Kudos: 877
Location: United States
Concentration: Marketing, International Business
Schools: HBS '19
GMAT 1: 770 Q51 V44
GPA: 4
WE:Education (Education)
Send PM
Re: In the figure above, what is the ratio KN/MN? [#permalink]
2
Kudos
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.
Joined: 06 May 2014
Posts: 39
Own Kudos [?]: 9 [0]
Given Kudos: 172
Send PM
In the figure above, what is the ratio KN/MN? [#permalink]
EMPOWERgmatRichC
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

The answer is ALWAYS 2/3
Fact 2 is SUFFICIENT

Final Answer:
GMAT assassins aren't born, they're made,
Rich


Can you please explain why is it not working for :
Long side= 1.5, short side =1. then the answer is 1.5/2.5=3/5 ? Am I missing something?
GMAT Club Legend
GMAT Club Legend
Joined: 19 Dec 2014
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Posts: 21831
Own Kudos [?]: 11922 [0]
Given Kudos: 450
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Send PM
Re: In the figure above, what is the ratio KN/MN? [#permalink]
Expert Reply
Hi tanvi9,

Based on the information in Fact 2 - the 3 small rectangles are IDENTICAL, so if you add 2 "short sides", the total equals 1 "long side." In your example, you set a 'short side' = 1 and a 'long side' = 1.5.... but that does NOT fit what we were told (1.5 is NOT equal to 1+1).

IF....
you set the short side = 1, then the long side = 2
you set the long side = 1.5, then the short side = 0.75

With either of those examples, you'll end up with the same answer that I did (the answer to the question is still 2/3).

GMAT assassins aren't born, they're made,
Rich
Joined: 06 May 2014
Posts: 39
Own Kudos [?]: 9 [0]
Given Kudos: 172
Send PM
Re: In the figure above, what is the ratio KN/MN? [#permalink]
Oh God :oops: that was stupid!

Thanks Rich!



EMPOWERgmatRichC
Hi tanvi9,

Based on the information in Fact 2 - the 3 small rectangles are IDENTICAL, so if you add 2 "short sides", the total equals 1 "long side." In your example, you set a 'short side' = 1 and a 'long side' = 1.5.... but that does NOT fit what we were told (1.5 is NOT equal to 1+1).

IF....
you set the short side = 1, then the long side = 2
you set the long side = 1.5, then the short side = 0.75

With either of those examples, you'll end up with the same answer that I did (the answer to the question is still 2/3).

GMAT assassins aren't born, they're made,
Rich
User avatar
Non-Human User
Joined: 09 Sep 2013
Posts: 35190
Own Kudos [?]: 891 [0]
Given Kudos: 0
Send PM
Re: In the figure above, what is the ratio KN/MN? [#permalink]
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 Bot
Re: In the figure above, what is the ratio KN/MN? [#permalink]
Moderator:
Math Expert
96034 posts