It is currently 18 Oct 2017, 06:43

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

There are 200 number of clothes. What is the number of clothes that ar

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

Hide Tags

Expert Post
Math Revolution GMAT Instructor
User avatar
P
Joined: 16 Aug 2015
Posts: 4127

Kudos [?]: 2886 [0], given: 0

GPA: 3.82
Premium Member CAT Tests
There are 200 number of clothes. What is the number of clothes that ar [#permalink]

Show Tags

New post 04 Aug 2017, 02:20
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

82% (00:53) correct 18% (01:07) wrong based on 45 sessions

HideShow timer Statistics

There are 200 number of clothes. What is the number of clothes that are red but not made of cotton?

1) 10% of the total clothes are neither red nor made of cotton.
2) 50% of the total clothes are both red and made of cotton.
[Reveal] Spoiler: OA

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself
See our Youtube demo

Kudos [?]: 2886 [0], given: 0

1 KUDOS received
Director
Director
User avatar
P
Joined: 04 Dec 2015
Posts: 696

Kudos [?]: 299 [1], given: 261

Location: India
Concentration: Technology, Strategy
Schools: ISB '19, IIMA , IIMB, XLRI
WE: Information Technology (Consulting)
GMAT ToolKit User
Re: There are 200 number of clothes. What is the number of clothes that ar [#permalink]

Show Tags

New post 04 Aug 2017, 03:26
1
This post received
KUDOS
MathRevolution wrote:
There are 200 number of clothes. What is the number of clothes that are red but not made of cotton?

1) 10% of the total clothes are neither red nor made of cotton.
2) 50% of the total clothes are both red and made of cotton.


Total number of clothes \(= 200\)

Total \(=\) Red Only \(+\) Cotton Only \(-\) (Both Red and made of Cotton) \(+\) Neither (Neither Red nor made of Cotton)

We need to find the value of Red Only.

1) \(10\)% of the total clothes are neither red nor made of cotton.

\(10\)% of \(200 = \frac{10}{100} * 200 = 20\)

\(20\) clothes are neither red nor made of cotton. Therefore we have the value of Neither. We cannot find value of Red Only. Hence I is Not Sufficient.

2) \(50\)% of the total clothes are both red and made of cotton.

\(50\)% of \(200 = \frac{50}{100} * 200 = 100\)

\(100\) clothes are Both Red and Made of Cotton. Therefore we have the value of Both. We cannot find the value of Red Only. Hence II is Not Sufficient.

Combining (\(1\)) and (\(2\));

Total \(=\) Red Only \(+\) Cotton Only \(-\) (Both Red and made of Cotton) \(+\) Neither (Neither Red nor made of Cotton)

\(200 =\) Red Only \(+\) Cotton Only \(- 100 + 20\)

We do not have the value of Cotton Only or Red Only. Therefore, we cannot find the value of Red Only.

Hence Combining (\(1\)) and (\(2\)) are Not Sufficient.

Answer (E)...


_________________
Please Press "+1 Kudos" to appreciate. :)

Kudos [?]: 299 [1], given: 261

Expert Post
Math Revolution GMAT Instructor
User avatar
P
Joined: 16 Aug 2015
Posts: 4127

Kudos [?]: 2886 [0], given: 0

GPA: 3.82
Premium Member CAT Tests
Re: There are 200 number of clothes. What is the number of clothes that ar [#permalink]

Show Tags

New post 06 Aug 2017, 18:15
==> If you modify the original condition and the question, it is a 2 by 2 question which appears most frequently on current GMAT math.

Attachment:
8.4.png
8.4.png [ 2.09 KiB | Viewed 236 times ]


As shown above, there are 4 variables (w,x,y,z) and 1 equation (W+X+Y+Z=200). In order to match the number of variables to the number of equations, there must be 3 more equations. Since there is 1 for con 1) and 1 for con 2), E is most likely to be the answer. By solving con 1) & con 2), you get z=200(10%)=20 and w=200(505)=100, but the value of y is not unique and not sufficient.

The answer is E.
Answer: E
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself
See our Youtube demo

Kudos [?]: 2886 [0], given: 0

Re: There are 200 number of clothes. What is the number of clothes that ar   [#permalink] 06 Aug 2017, 18:15
Display posts from previous: Sort by

There are 200 number of clothes. What is the number of clothes that ar

  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®.