It is currently 23 Sep 2017, 06:15

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

X percents of the rooms are suits, Y percent of the rooms

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

6 KUDOS received
Director
Director
User avatar
Joined: 26 Feb 2006
Posts: 900

Kudos [?]: 141 [6], given: 0

X percents of the rooms are suits, Y percent of the rooms [#permalink]

Show Tags

New post 17 Oct 2007, 23:24
6
This post received
KUDOS
21
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

59% (01:38) correct 41% (01:51) wrong based on 505 sessions

HideShow timer Statistics

X percents of the rooms are suits, Y percent of the rooms are painted light blue. Which of the following best represents the least percentage of the light blue painted suits?

A. X-Y
B. Y-X +100
C. 100X-Y
D. X+Y-100
E. 100-XY
[Reveal] Spoiler: OA

Kudos [?]: 141 [6], given: 0

Director
Director
User avatar
Joined: 20 Aug 2007
Posts: 851

Kudos [?]: 99 [0], given: 1

Location: Chicago
Schools: Chicago Booth 2011
 [#permalink]

Show Tags

New post 18 Oct 2007, 10:50
Isn't this just a union/venn diagram?
If we let LS = light blue suites we get

x + y - LS is less than or equal to 100, so
LS >= x + y - 100

Now let's try x = 50% and y = 50%, there's no guarantee that there is an overlap. If we plug in we get B >= 0
But if we try x = 75%, y = 75%, there is bound to be overlap and we get B >= 50% (50% or more rooms are guaranteed to be light blue suites).
Not sure though.

Kudos [?]: 99 [0], given: 1

1 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 07 Nov 2009
Posts: 304

Kudos [?]: 666 [1], given: 20

Pained rooms [#permalink]

Show Tags

New post 06 Jul 2010, 00:11
1
This post received
KUDOS
1
This post was
BOOKMARKED
123. X percents of the rooms are suits, Y percent of the rooms are painted
light blue. Which of the following best represents the least percentage of
the light blue painted suits?
1) X-Y
2)Y-X +100
3)100X-Y
4)X+Y-100
e)100-XY

Please explain your method. Also please help me know in case the questions was as below then how we can solve that:
123. X percents of the rooms are suits, Y percent of the rooms are painted
light blue. Which of the following best represents the MAX percentage of
the light blue painted suits?

Kudos [?]: 666 [1], given: 20

Senior Manager
Senior Manager
avatar
Joined: 25 Jun 2009
Posts: 298

Kudos [?]: 144 [0], given: 6

Re: Pained rooms [#permalink]

Show Tags

New post 06 Jul 2010, 03:46
1
This post was
BOOKMARKED
rohitgoel15 wrote:
123. X percents of the rooms are suits, Y percent of the rooms are painted
light blue. Which of the following best represents the least percentage of
the light blue painted suits?
1) X-Y
2)Y-X +100
3)100X-Y
4)X+Y-100
e)100-XY

Please explain your method. Also please help me know in case the questions was as below then how we can solve that:
123. X percents of the rooms are suits, Y percent of the rooms are painted
light blue. Which of the following best represents the MAX percentage of
the light blue painted suits?



Answer is going to be the same whether its MAX or MIN percentage.

Using the simple formula

100 = X + Y - BOTH - > Here X = % of Suits , Y = % of light blue painted rooms and BOTH = % of suits painted in light blue colour

So now, BOTH = X+Y -100 and now you can manipulate the value of X and Y to get the max and minimum values.

Hence Answer D

Hope this helps.

Kudos [?]: 144 [0], given: 6

1 KUDOS received
Intern
Intern
avatar
Joined: 24 Apr 2014
Posts: 11

Kudos [?]: 4 [1], given: 10

Re: [#permalink]

Show Tags

New post 25 Apr 2014, 21:25
1
This post received
KUDOS
1
This post was
BOOKMARKED
sonibubu wrote:
Isn't this just a union/venn diagram?
If we let LS = light blue suites we get

x + y - LS is less than or equal to 100, so
LS >= x + y - 100

Now let's try x = 50% and y = 50%, there's no guarantee that there is an overlap. If we plug in we get B >= 0
But if we try x = 75%, y = 75%, there is bound to be overlap and we get B >= 50% (50% or more rooms are guaranteed to be light blue suites).
Not sure though.


I agree with you:
% suited + %light - % suited and light + % no suited or light = 100 %
Because % of no suited or light >= 0
==> x + y - % suited light <= 100
--> % suited & light >= x + y - 100
--> min SL = x+y - 100 :D

Kudos [?]: 4 [1], given: 10

Manager
Manager
avatar
B
Joined: 10 Mar 2014
Posts: 244

Kudos [?]: 95 [0], given: 13

Premium Member
Re: X percents of the rooms are suits, Y percent of the rooms [#permalink]

Show Tags

New post 16 Jul 2014, 04:16
Hi Bunuel,

Although I got the right answer. Could you please provide your comments on this.

I did it in a following way

Lets total are 100 rooms. so x%of 100 = x.
and Y %of 100 = y

100 = x+y-both +neither

both = x+y-100. Assuming neither = 0


I am not sure this is the right way.

Please provide your comments on this

Thanks

Kudos [?]: 95 [0], given: 13

Manager
Manager
avatar
Joined: 25 Apr 2014
Posts: 146

Kudos [?]: 71 [0], given: 1474

X percents of the rooms are suits, Y percent of the rooms [#permalink]

Show Tags

New post 17 Jul 2014, 15:56
Hi Bunuel / Experts

Can you please explain me the question with the help of 2-D matrix. I am terribly stuck :cry:

Kudos [?]: 71 [0], given: 1474

2 KUDOS received
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1854

Kudos [?]: 2524 [2], given: 193

Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: X percents of the rooms are suits, Y percent of the rooms [#permalink]

Show Tags

New post 17 Jul 2014, 20:28
2
This post received
KUDOS
maggie27 wrote:
Hi Bunuel / Experts

Can you please explain me the question with the help of 2-D matrix. I am terribly stuck :cry:


Not an expert, but lets try :)

Refer Diagram below:

To maximize the value "a" (Overlap), 100-(x+y) should be zero

100 = x-a + y-a + a + 100 - (x+y)

100 = x+y-a

a = x+ y - 100

Answer = D
Attachments

overl.png
overl.png [ 6.97 KiB | Viewed 4324 times ]


_________________

Kindly press "+1 Kudos" to appreciate :)

Kudos [?]: 2524 [2], given: 193

SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1854

Kudos [?]: 2524 [0], given: 193

Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: X percents of the rooms are suits, Y percent of the rooms [#permalink]

Show Tags

New post 17 Jul 2014, 20:31
Himalayan wrote:
X percents of the rooms are suits, Y percent of the rooms are painted light blue. Which of the followingbest represents the least percentage of the light blue painted suits?

A. X-Y
B. Y-X +100
C. 100X-Y
D. X+Y-100
E. 100-XY


Bunuel, looking at the answer, I doubt the highlighted portion of the wording.

Any comments please? :)
_________________

Kindly press "+1 Kudos" to appreciate :)

Kudos [?]: 2524 [0], given: 193

Manager
Manager
avatar
Joined: 25 Apr 2014
Posts: 146

Kudos [?]: 71 [0], given: 1474

Re: X percents of the rooms are suits, Y percent of the rooms [#permalink]

Show Tags

New post 17 Jul 2014, 20:57
PareshGmat wrote:
maggie27 wrote:
Hi Bunuel / Experts

Can you please explain me the question with the help of 2-D matrix. I am terribly stuck :cry:


Not an expert, but lets try :)

Refer Diagram below:

To maximize the value "a" (Overlap), 100-(x+y) should be zero

100 = x-a + y-a + a + 100 - (x+y)

100 = x+y-a

a = x+ y - 100

Answer = D



Hahahaha... if not an expert den "expert in making" for sure :-D
Thanks for the explanation .However, I was stuck with 2-D matrix for it, with which I started fixing it.
Can u please help me understand the same with the matrix too... :o

Kudos [?]: 71 [0], given: 1474

2 KUDOS received
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1854

Kudos [?]: 2524 [2], given: 193

Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
X percents of the rooms are suits, Y percent of the rooms [#permalink]

Show Tags

New post 17 Jul 2014, 22:42
2
This post received
KUDOS
maggie27 wrote:
PareshGmat wrote:
maggie27 wrote:
Hi Bunuel / Experts

Can you please explain me the question with the help of 2-D matrix. I am terribly stuck :cry:


Not an expert, but lets try :)

Refer Diagram below:

To maximize the value "a" (Overlap), 100-(x+y) should be zero

100 = x-a + y-a + a + 100 - (x+y)

100 = x+y-a

a = x+ y - 100

Answer = D



Hahahaha... if not an expert den "expert in making" for sure :-D
Thanks for the explanation .However, I was stuck with 2-D matrix for it, with which I started fixing it.
Can u please help me understand the same with the matrix too... :o



Please have a look below:
Attachments

ma.png
ma.png [ 6.18 KiB | Viewed 4321 times ]


_________________

Kindly press "+1 Kudos" to appreciate :)

Kudos [?]: 2524 [2], given: 193

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 17615

Kudos [?]: 271 [0], given: 0

Premium Member
Re: Pained rooms [#permalink]

Show Tags

New post 11 Oct 2014, 08:46
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 271 [0], given: 0

Manager
Manager
avatar
Joined: 30 Mar 2013
Posts: 134

Kudos [?]: 56 [0], given: 196

GMAT ToolKit User
Re: X percents of the rooms are suits, Y percent of the rooms [#permalink]

Show Tags

New post 09 Nov 2014, 12:01
I too did it with the simple formula. But even within set sets have max/ min overlaps. I'm not sure how to apply that to this question though

Kudos [?]: 56 [0], given: 196

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 17615

Kudos [?]: 271 [0], given: 0

Premium Member
Re: X percents of the rooms are suits, Y percent of the rooms [#permalink]

Show Tags

New post 23 Apr 2016, 11:06
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 271 [0], given: 0

Manager
Manager
avatar
B
Status: Manager to Damager!
Affiliations: MBA
Joined: 22 May 2014
Posts: 79

Kudos [?]: 9 [0], given: 286

Location: United States
Schools: Insead July'17
Re: X percents of the rooms are suits, Y percent of the rooms [#permalink]

Show Tags

New post 11 May 2016, 08:23
Hi..
Can anyone help me to understand my doubt?
What if x and y are less than 50% ?

If x =20% and y =30% and x and y = 10%
then the expression x+y-100 would result -50% which is nonsense..


Whats wrong with my thinking?

Kudos [?]: 9 [0], given: 286

Expert Post
1 KUDOS received
Math Forum Moderator
avatar
P
Joined: 02 Aug 2009
Posts: 4912

Kudos [?]: 5245 [1], given: 112

Re: X percents of the rooms are suits, Y percent of the rooms [#permalink]

Show Tags

New post 11 May 2016, 08:35
1
This post received
KUDOS
Expert's post
MorningRunner wrote:
Hi..
Can anyone help me to understand my doubt?
What if x and y are less than 50% ?

If x =20% and y =30% and x and y = 10%
then the expression x+y-100 would result -50% which is nonsense..


Whats wrong with my thinking?


Hi,
you are totally correct with your observation.
The Q is flawed in that it fails to mention clearly that all houses are either suits or painted light blue...

When you take all these house to be atleast ONE of the two groups with few common to the two groups, the Qs will stand, otherwise it will fall apart..

But as the way Q stands, it is FLAWED and you are not likely to see anything of this kind in ACTUALs
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 5245 [1], given: 112

Manager
Manager
User avatar
S
Joined: 03 Apr 2013
Posts: 241

Kudos [?]: 36 [0], given: 823

GMAT ToolKit User
Re: X percents of the rooms are suits, Y percent of the rooms [#permalink]

Show Tags

New post 07 Jul 2016, 20:59
Himalayan wrote:
X percents of the rooms are suits, Y percent of the rooms are painted light blue. Which of the following best represents the least percentage of the light blue painted suits?

A. X-Y
B. Y-X +100
C. 100X-Y
D. X+Y-100
E. 100-XY


The answer is easy..the wording I think..is awkward.. I want Bunuel to respond on this..

The minimum is..0 percent..but if you ask me what is going to be the number of blue painted suits in any case?..I would say (D). But I dont think thats what the question is asking..
_________________

Spread some love..Like = +1 Kudos :)

Kudos [?]: 36 [0], given: 823

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 17615

Kudos [?]: 271 [0], given: 0

Premium Member
Re: X percents of the rooms are suits, Y percent of the rooms [#permalink]

Show Tags

New post 28 Aug 2017, 09:53
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 271 [0], given: 0

Re: X percents of the rooms are suits, Y percent of the rooms   [#permalink] 28 Aug 2017, 09:53
    Similar topics Author Replies Last post
Similar
Topics:
5 EXPERTS_POSTS_IN_THIS_TOPIC x percent of y percent of z is decreased by y percent. What RyanP 5 19 Oct 2015, 11:52
12 EXPERTS_POSTS_IN_THIS_TOPIC x percent of y percent of z is decreased by y percent. What siddhans 11 15 Jun 2016, 17:20
3 EXPERTS_POSTS_IN_THIS_TOPIC 40 percent of Andrea's living room floor is covered by a carpet that i Bunuel 8 06 Jul 2015, 03:27
1 EXPERTS_POSTS_IN_THIS_TOPIC A room contains 160 people, 15 percent of whom are women. A rsampson 2 10 May 2012, 19:55
32 EXPERTS_POSTS_IN_THIS_TOPIC The charge for a single room at Hotel P is 25 percent less Baten80 13 07 May 2017, 11:44
Display posts from previous: Sort by

X percents of the rooms are suits, Y percent of the rooms

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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®.