Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 06 May 2015, 11:56

### 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

# X percents of the rooms are suits, and Y Percents of the

 Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Manager
Joined: 31 Dec 2003
Posts: 214
Location: US
Followers: 0

Kudos [?]: 8 [0], given: 0

X percents of the rooms are suits, and Y Percents of the [#permalink]  01 Sep 2004, 09:01
00:00

Difficulty:

(N/A)

Question Stats:

100% (01:18) correct 0% (00:00) wrong based on 0 sessions
23. X percents of the rooms are suits, and Y Percents 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.

I dont find any of the answer choices to be apt. I dont know if i am missing something or if the questions are of poor quality.
But unfortunately these questions are from real test questions web site and so i am unable to neglect them.
Can anyone explain why one of the answer choices mentioned above is correct.

Thanks.
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5078
Location: Singapore
Followers: 22

Kudos [?]: 184 [0], given: 0

[#permalink]  01 Sep 2004, 10:01

draw two cirlces, one to represent suites, one to represent light blue. Let the suites that are light blue be n, then suite wiill be x-n and light blue y-n.

So x-n+n+y-n = 100 and you will get x+y-100.

I can't seem to be able to upload a picture, otherwise it will be very clear.
SVP
Joined: 16 Oct 2003
Posts: 1815
Followers: 4

Kudos [?]: 50 [0], given: 0

[#permalink]  01 Sep 2004, 10:14
I chose 50 and 10 as the number and got X + Y - 100 as the asnwer.
Manager
Joined: 31 Dec 2003
Posts: 214
Location: US
Followers: 0

Kudos [?]: 8 [0], given: 0

[#permalink]  01 Sep 2004, 10:38
ywilfred,
Aren't you assuming here that the two sets x and y represent the entire sample space (ie they both equal 100 and that there is no other data that represents none of the two ).
It could be possible that there is another entity - z percent of the rooms are painted red.

In that case will x + y -100 not be negative.

Please correct me if i am wrong.

Thanks.
Director
Joined: 31 Aug 2004
Posts: 606
Followers: 3

Kudos [?]: 43 [0], given: 0

[#permalink]  01 Sep 2004, 11:58
To make sense this question should assume that x+y>100 to guarantee an overlap between the two groups.
I do not understand how you can have a least number with for instance 10% and 50%, you can then have 0 light blue suits...

Do you agree ?
Director
Joined: 05 May 2004
Posts: 577
Location: San Jose, CA
Followers: 2

Kudos [?]: 35 [0], given: 0

Re: PS - set theory [#permalink]  01 Sep 2004, 12:10
anuramm wrote:
23. X percents of the rooms are suits, and Y Percents 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.

I think the Q is poorly framed.
There is a possibility that "the least Percentage of the light blue painted suits" = 0
If we donot assume the above then D is the answer
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5078
Location: Singapore
Followers: 22

Kudos [?]: 184 [0], given: 0

[#permalink]  01 Sep 2004, 19:16
Yes, i assume the suits and blue rooms represent the entire sample space. there's no other way to solve it unless you made this assumption.
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5078
Location: Singapore
Followers: 22

Kudos [?]: 184 [0], given: 0

[#permalink]  01 Sep 2004, 19:18
In fact, the question does imply that there are only three types of rooms, suites, and blue rooms, or blue suites. If there was to be a neither, it would probably say "Z percent are neither"
Director
Joined: 20 Jul 2004
Posts: 593
Followers: 1

Kudos [?]: 48 [0], given: 0

[#permalink]  01 Sep 2004, 20:20
I think it is X + Y -100

Let A be the no of suite room with blue color.
Let D be the no of Non suite room with non blue color.

Then,
E = n(A) + n(B) - n(A n B) + n(A U B)'
100 = X + Y - A + D
A = X + Y - 100 + D

X and Y are fixed and given already; 100 is a constant. Only variable is D.
For A to be minimum D tends to 0. And the least value of A = X + Y - 100
Manager
Joined: 31 Dec 2003
Posts: 214
Location: US
Followers: 0

Kudos [?]: 8 [0], given: 0

[#permalink]  01 Sep 2004, 22:44
now i understand why D is the answer. thanks hardworker_indian and everyone.
[#permalink] 01 Sep 2004, 22:44
Similar topics Replies Last post
Similar
Topics:
x percent of y percent of z is decreased by y percent. What 3 13 Apr 2012, 14:56
10 x percent of y percent of z is decreased by y percent. What 10 23 Sep 2011, 00:05
x is what percent of y percent of z, in terms of x, y and z? 5 28 Oct 2010, 12:51
1 X percents of the rooms are suits, Y percent of the rooms 1 07 Mar 2008, 01:35
12 X percents of the rooms are suits, Y percent of the rooms 12 17 Oct 2007, 22:24
Display posts from previous: Sort by

# X percents of the rooms are suits, and Y Percents of the

 Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group and phpBB SEO 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®.