GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 10 Dec 2019, 03:10

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

Each of the cucumbers in 100 pounds of cucumbers is composed

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

Hide Tags

Find Similar Topics 
Intern
Intern
avatar
Joined: 14 Aug 2015
Posts: 12
Re: Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

Show Tags

New post 08 Mar 2016, 06:28
Let w equal the amount of water in pounds
(98 / 100) = w / (1+w) where (1+w) is the weight of the cucumber in pounds
Solve for w.
w = 49 pounds of water
49 pounds of water + 1 pounds of non-water = 50 pounds of cucumber
Director
Director
User avatar
S
Joined: 17 Dec 2012
Posts: 623
Location: India
Re: Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

Show Tags

New post 13 Mar 2016, 20:58
shrive555 wrote:
Each of the cucumbers in 100 pounds of cucumbers is composed of 99% water, by weight. After some of the water evaporates, the cucumbers are now 98% water by weight. What is the new weight of the cucumbers, in pounds?

A. 2
B. 50
C. 92
D. 96
E. 98


Let w1 pounds of water evaporate.

New weight of water = 99-w1 --- (1)
New weight of water is also= 98% of (100-w1) -- (2)

Equating 1 and 2, w1=50 pounds. New weight of cucumber = 100-50=50 pounds
_________________
Srinivasan Vaidyaraman
Sravna Test Prep
http://www.sravnatestprep.com

Holistic and Systematic Approach
Manager
Manager
avatar
Joined: 09 Jun 2015
Posts: 83
Re: Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

Show Tags

New post 13 Mar 2016, 21:15
shrive555 wrote:
Each of the cucumbers in 100 pounds of cucumbers is composed of 99% water, by weight. After some of the water evaporates, the cucumbers are now 98% water by weight. What is the new weight of the cucumbers, in pounds?

A. 2
B. 50
C. 92
D. 96
E. 98

In 100 pounds, 99 pounds are water that makes 99% water content; the ratio is 99:1
To get 98% water content, the ratio has to be 98:2; that is possible only if it is reduced to 49:1
That implies 50 pounds are evaporated.
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2809
Re: Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

Show Tags

New post 09 Apr 2018, 16:33
shrive555 wrote:
Each of the cucumbers in 100 pounds of cucumbers is composed of 99% water, by weight. After some of the water evaporates, the cucumbers are now 98% water by weight. What is the new weight of the cucumbers, in pounds?

A. 2
B. 50
C. 92
D. 96
E. 98


We see that 99 pounds is water and 1 pound is cucumber. Letting w = the number of pounds of water that evaporates, we can create the following equation:
(99 - w)/(100 - w) = 98/100

Cross-multiplying, we have:

100(99 - w) = 98(100 - w)

9900 - 100w = 9800 - 98w

100 = 2w

50 = w

The cucumbers have lost 50 pounds of water, so the new weight of the cucumbers is 100 - 50 = 50 pounds.

Answer: B
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Intern
Intern
avatar
B
Joined: 28 Aug 2016
Posts: 27
Location: India
Concentration: General Management, Technology
WE: Engineering (Computer Software)
Re: Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

Show Tags

New post 16 Mar 2019, 08:35
My Take:

Generally:
(A1*W1 + A2*W2) / (W1 + W2) = Aavg

In this case:(Water evaporates)
(A1*W1 - A2*W2) / (W1 - W2) = Aavg

=> (99*100 - 100*n) / (100 - n) = 98; Here water concentration = 100% and weight of water = n
=> 99*100 - 100n = 98*100 - 98n
=> 100(99-98) = 100n - 98n
=> 100 = 2n
=> n = 50
Therefore, new weight of cucumber = 100 - 50 = 50 pounds
LBS Moderator
User avatar
V
Joined: 04 Jun 2018
Posts: 664
Location: Germany
Concentration: General Management, Finance
GMAT 1: 730 Q47 V44
GPA: 3.4
WE: Analyst (Transportation)
Reviews Badge
Re: Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

Show Tags

New post 16 Mar 2019, 08:45
This question can pretty much be solved by logical thinking alone:

99% of a cucumber is water and 1% is solid this means 99lb water, 1lb solid

If water evaporates to the point that the 1lb of solid material now accounts for twice as much of the total weight of the cucumber, this means that the cucumber must have lost half its weight. (e.g. 1lb of 50 = 2%)

Hope this helps.

Regards,
Chris
_________________
Manager
Manager
avatar
S
Joined: 09 Apr 2017
Posts: 80
GPA: 3.99
GMAT ToolKit User CAT Tests
Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

Show Tags

New post 22 Jun 2019, 22:59
------------Cmass Water Total
Before % 1/100 99/100 100
--------V 1 99 100

After % 2/100 98/100 100
--------V 1 99-x 100-x


Method1
After Cmass,
(100-x)2/100 = 1 ; x=50

Method2
After water
(100-x)98/100 = 99-x ; x = 50

Method3
Cmass/water
2/98 = 1/(99-x) ; x = 50
VP
VP
User avatar
D
Joined: 14 Feb 2017
Posts: 1315
Location: Australia
Concentration: Technology, Strategy
GMAT 1: 560 Q41 V26
GMAT 2: 550 Q43 V23
GMAT 3: 650 Q47 V33
GMAT 4: 650 Q44 V36
GMAT 5: 650 Q48 V31
GMAT 6: 600 Q38 V35
GPA: 3
WE: Management Consulting (Consulting)
Reviews Badge CAT Tests
Re: Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

Show Tags

New post 09 Aug 2019, 20:16
You can determine the new weight by the amount that evaporated.

(99lb water - Xlbs water)/ (100lbs total weight - Xlbs water) = 98/100
9900-100x= 9800-98x
100=2x
x= 50

100lbs total weight - 50lbs water = 50lbs total weight.
GMAT Club Bot
Re: Each of the cucumbers in 100 pounds of cucumbers is composed   [#permalink] 09 Aug 2019, 20:16

Go to page   Previous    1   2   [ 28 posts ] 

Display posts from previous: Sort by

Each of the cucumbers in 100 pounds of cucumbers is composed

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





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne