Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Sep 2107:00 PM EDT
-10:00 PM EDT
Boost your GMAT score in less than one month in a live online class + 6 months access to TTP OnDemand video courses included!
04 Aug 2017, 02:20
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
83% (01:13) correct
17%
(01:15)
wrong
based on 147
sessions
History
Date
Time
Result
Not Attempted Yet
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.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
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.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
sashiim20
Joined: 04 Dec 2015
Last visit: 05 Jun 2024
Posts: 608
Given Kudos: 276
Location: India
Concentration: Technology, Strategy
Schools: ISB '19 IIMB IIMA XLRI HEC Sept19 intake Rotman '21 NUS '21 NTU '20 Trinity MBA '20 Bocconi '21 Smurfit "21
WE:Information Technology (Consulting)
Schools: ISB '19 IIMB IIMA XLRI HEC Sept19 intake Rotman '21 NUS '21 NTU '20 Trinity MBA '20 Bocconi '21 Smurfit "21
Posts: 608
04 Aug 2017, 03:26
Kudos
Bookmarks
MathRevolution
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.
06 Aug 2017, 18:15
Kudos
Bookmarks
==> If you modify the original condition and the question, it is a 2 by 2 question which appears most frequently on current GMAT math.
8.4.png [ 2.09 KiB | Viewed 2838 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
Attachment:
8.4.png [ 2.09 KiB | Viewed 2838 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
