It is currently 28 Sep 2020, 02:49

### 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

# Half of the shirts in a closet are white and 30% of the rema

Author Message
TAGS:
Retired Moderator
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 171

Kudos [?]: 2926 [0], given: 394

Half of the shirts in a closet are white and 30% of the rema [#permalink]  10 Jun 2018, 05:12
Expert's post
00:00

Question Stats:

77% (00:36) correct 22% (00:16) wrong based on 70 sessions
Half of the shirts in a closet are white and 30% of the remaining shirts are gray

 Quantity A Quantity B The percent of the shirts in the closet that are not white or gray 20%

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Manager
Joined: 02 May 2018
Posts: 58
Followers: 0

Kudos [?]: 30 [0], given: 22

Re: Half of the shirts in a closet are white and 30% of the rema [#permalink]  16 Jun 2018, 15:35
The trick here is to read the question carefully. For this problem, I used 100 shirts since percents are out of 100, making it a direct conversion.

Half of the shirts in a closet are white and 30% of the remaining shirts are gray

Half of the shirts are white = 50
30% of the remaining shirts are gray = .3 * 50 = 15
Remainder of shirts that are $$not$$ white or gray = 35.

Quantity A: The percent of the shirts in the closet that are not white or gray
Quantity B: 20%

Quantity A: 35%
Quantity B: 20%

Quantity A is greater.

Retired Moderator
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 171

Kudos [?]: 2926 [0], given: 394

Re: Half of the shirts in a closet are white and 30% of the rema [#permalink]  14 Jul 2018, 04:35
Expert's post
Explanation

Choose a smart number for the total number of shirts in the closest; this is a percent problem, so 100 is a good number to pick. Out of 100 shirts, half, or 50, are white.
You know 30% of the remaining shirts are gray.

If there are 50 white shirts, there are also 50 remaining shirts and so (0.3)(50) = 15 gray shirts. Therefore, there are 50 + 15 = 65 total shirts that are white or gray, and 100 – 65 = 35 shirts that are neither white nor gray. Since 35 out of 100 shirts are neither white nor gray, exactly 35% of the shirts are neither white nor gray.

Alternatively, use algebra, though that is trickier on a problem such as this one. Set a variable, such as x, for the total number of shirts. The number of white shirts is 0.5x and the remaining shirts would equal

x – 0.5x = 0.5x.

The number of gray shirts, then, is (0.5x)(0.3) = 0.15x. Thus, there are

0.5x + 0.15x = 0.65x white or gray shirts, and

x – 0.6x = 0.35x shirts that are neither white nor gray.

Therefore, 0.35x ÷ x = 0.35, or 35%.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Intern
Joined: 08 Apr 2020
Posts: 41
Followers: 0

Kudos [?]: 23 [0], given: 83

Re: Half of the shirts in a closet are white and 30% of the rema [#permalink]  01 May 2020, 04:24
sandy wrote:
Half of the shirts in a closet are white and 30% of the remaining shirts are gray

 Quantity A Quantity B The percent of the shirts in the closet that are not white or gray 20%

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

So easy to use smart numbers here.

100 total shirts
50% = 50 shirts are white
30% of 50 shirts = 15 shirts are gray
35% or 35 shirts remaining are NOT white or gray

Quantity A (35%) is greater than Quantity B.

Re: Half of the shirts in a closet are white and 30% of the rema   [#permalink] 01 May 2020, 04:24
Display posts from previous: Sort by