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

It is currently 12 Nov 2019, 13:55

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 
Manager
Manager
avatar
Status: Do and Die!!
Joined: 15 Sep 2010
Posts: 244
Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

Show Tags

New post Updated on: 12 Sep 2018, 18:37
10
84
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

63% (01:46) correct 37% (02:03) wrong based on 1127 sessions

HideShow timer Statistics

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

_________________
I'm the Dumbest of All !!

Originally posted by shrive555 on 06 Oct 2010, 11:52.
Last edited by hazelnut on 12 Sep 2018, 18:37, edited 2 times in total.
Edited the question
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58991
Re: Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

Show Tags

New post 06 Oct 2010, 12:01
12
18
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?


* 2
* 50
* 92
* 96
* 98

Any other approach to solve this question
Thanks


Out of 100 pounds 99% or 99 pounds is water and 1 pound is non-water. After some water evaporates the cucumbers become 98% water and 2% of non-water, so now 1 pound of non-water composes 2% of cucucmbers, which means that the new weight of cucumbers is 1/0.02=50 pounds.

Answer: B.

Similar questions to practice:
five-kilograms-of-oranges-contained-98-of-water-141401.html
fresh-dates-contain-90-water-while-dry-dates-contain-143245.html
_________________
Most Helpful Community Reply
Intern
Intern
avatar
Joined: 05 Oct 2010
Posts: 2
Re: Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

Show Tags

New post 06 Oct 2010, 17:43
20
1
3
My approach

Before evaporation by weight

100 pounds of Cucumber = 99 pounds water + 1 pound cucumber matter

After evaporation

lets say the weight of cucumber is x
then by weight

x = (98/100* x is water) + 1 pound of cucumber matter

solving for x gives 50
General Discussion
Manager
Manager
avatar
Joined: 27 May 2008
Posts: 97
Re: Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

Show Tags

New post 08 Oct 2010, 02:45
Nice explanation Bunuel
Intern
Intern
avatar
Status: Work hard, Play harder!
Joined: 10 Apr 2010
Posts: 14
Location: Dublin, Ireland
Schools: INSEAD, LBS, RSM
Re: Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

Show Tags

New post 30 Jan 2011, 11:43
1
Hi Bunnel,
Would it be possible explain your solution? For some reason I am not getting it that how cucumber will be 50 pound after reduction of 1% water.
Thanks
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58991
Re: Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

Show Tags

New post 30 Jan 2011, 12:20
7
7
vibhutirs wrote:
Hi Bunnel,
Would it be possible explain your solution? For some reason I am not getting it that how cucumber will be 50 pound after reduction of 1% water.
Thanks


Before some of the water evaporates: 100 pounds of cucumbers is composed of 99% water (= 99 pounds of water) AND 1% non-water (= 1 pound of non-water);

After some of the water evaporates: 98% water by weight AND the same 1 pound of non-water, which did not evaporate. This 1 pound of non-water now composes 100%-98%=2% of the total weight of cucumbers. So, 1 pound = 2% of the total weight of cucumbers --> total weight of cucumbers = 1/0.02 = 50 pounds.

Hope it's clear.
_________________
Veritas Prep GMAT Instructor
User avatar
V
Joined: 16 Oct 2010
Posts: 9772
Location: Pune, India
Re: Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

Show Tags

New post 12 May 2012, 02:57
13
7
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


Responding to a pm:

There are two ways of getting to the answer here.

Method 1:
Let's go forward to back. Say we have 98% mixture (2% pure cucumber extract and 98% water). Say, we also have plain water (100% water). If we mix these two, we get 100 pounds of 99% mixture (1% pure cucumber extract and 99% water). We want to find the amount of pure water that was mixed. (Usually, we are given two components and we have to mix them. This question does the opposite. It separates out the components of the mixture but overall it doesn't matter to us at all.)

w1/w2 = (A2 - Aavg)/(Aavg - A1) = (100 - 99)/(99 - 98) = 1/1

The 98% mixture and the pure water must have been mixed in 1:1 ratio. Since total mixture is 100 pounds, the amount of pure water must be 50 pounds and the 98% mixture must have been 50 pounds.
Answer (B)

Method 2:
Another way to think about this problem: The amount of pure cucumber extract stays the same. Only the amount of water reduces. The amount of pure cucumber extract was 1 pound in the 99% mixture and it stayed 1 pound in the 98% mixture.
In 100 pounds of 99% cucumber mix, this pure cucumber extract was 1% and in 98% cucumber mix, this same pure cucumber extract was 2% of the cucumber mix.

Say, the total weight of 98% cucumber mix is x pounds.
1 pound = (2/100)*x
x = 50 pounds

The answer is a little un-intuitive since you don't expect so much water to disappear to just make it go down from 99% to 98% but instead, think that you need to make the amount of pure cucumber extract to go up from 1% to 2% i.e. you need it to double in proportion. For the same amount (1 pound) to be double in proportion, you need to reduce the total weight by half.
_________________
Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58991
Re: Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

Show Tags

New post 13 Jun 2013, 03:09
Director
Director
avatar
Joined: 03 Aug 2012
Posts: 657
Concentration: General Management, General Management
GMAT 1: 630 Q47 V29
GMAT 2: 680 Q50 V32
GPA: 3.7
WE: Information Technology (Investment Banking)
Re: Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

Show Tags

New post 18 Apr 2014, 23:02
3
1
1
I don't think any formula is needed in such questions.

It is pure logic which governs these questions.

Approach:

When one thing is getting replaced or removed just CONCENTRATE on the CONCENTRATION of that thing.

Concentrate here on 'Water'

99 Pounds = Water
1 pound = non water

Let X be evaporated so that concentration changes to 98%

99 - X = Water in new thing = 98% of total

99-X = 98/100 (100 - X)

X=50
Veritas Prep GMAT Instructor
User avatar
V
Joined: 16 Oct 2010
Posts: 9772
Location: Pune, India
Re: Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

Show Tags

New post 20 Apr 2014, 20:55
1
TGC wrote:
I don't think any formula is needed in such questions.

It is pure logic which governs these questions.

Approach:

When one thing is getting replaced or removed just CONCENTRATE on the CONCENTRATION of that thing.

Concentrate here on 'Water'

99 Pounds = Water
1 pound = non water

Let X be evaporated so that concentration changes to 98%

99 - X = Water in new thing = 98% of total

99-X = 98/100 (100 - X)

X=50


Actually, it is easier to concentrate on the thing that does not change. See approach 2 above. But whatever works for you!
_________________
Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
Senior Manager
Senior Manager
avatar
Joined: 08 Apr 2012
Posts: 324
Re: Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

Show Tags

New post 27 May 2014, 14:30
VeritasPrepKarishma wrote:
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




w1/w2 = (A2 - Aavg)/(Aavg - A1) = (100 - 99)/(99 - 98) = 1/1


Hi Karishma,

how did you get to the right side of "1/1"?
Why did you state that both of the weights are the same?
Veritas Prep GMAT Instructor
User avatar
V
Joined: 16 Oct 2010
Posts: 9772
Location: Pune, India
Re: Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

Show Tags

New post 27 May 2014, 21:03
ronr34 wrote:
VeritasPrepKarishma wrote:
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




w1/w2 = (A2 - Aavg)/(Aavg - A1) = (100 - 99)/(99 - 98) = 1/1


Hi Karishma,

how did you get to the right side of "1/1"?
Why did you state that both of the weights are the same?


The cucumbers left after some water has evaporated is 98% water. The evaporated water is 100% water.
These two were mixed together in the original 100 pounds of cucumber. The original 100 pounds of cucumbers had 99% water.

The formula of the scale method gives us:
So w1/w2 = (A2 - Aavg)/(Aavg - A1)
A1 - Water concentration of cucumber leftover = 98%
A2 - Water concentration of pure water = 100%
w1 - weight of cucumber leftover
w2 - weight of water

w1/w2 = (100 - 99)/(99 - 98) = 1/1

So we can say that the weight of cucumber leftover and weight of water should be the same i.e. they both must be 50 pounds each.

If you are unsure of this formula, check: http://www.veritasprep.com/blog/2011/03 ... -averages/
_________________
Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
Intern
Intern
avatar
Joined: 28 May 2014
Posts: 2
Re: Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

Show Tags

New post 28 May 2014, 11:24
1 portion is non water ---- 99 portions are water
1% 99%
now after vaporization
The 1 portion became 2% ------> we have to calculate 1 is 2% of what?
x * 0.02= 1 ----> x= 100/2 ----> x=50 "the new whole.
hope this one is simple enough!
Senior Manager
Senior Manager
avatar
B
Joined: 17 Sep 2013
Posts: 320
Concentration: Strategy, General Management
GMAT 1: 730 Q51 V38
WE: Analyst (Consulting)
GMAT ToolKit User Reviews Badge
Re: Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

Show Tags

New post 18 Jul 2014, 11:47
My 2 cents on mixtures and allegations..

Always deal with the quantity that does not change..

Mass content here does not change..hence play with this info

Say Water is added to milk...Content of milk does not change..play with milk info..
_________________
Appreciate the efforts...KUDOS for all
Don't let an extra chromosome get you down..:P
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 19 Jul 2014, 05:57
weight - 99-x (water), 1(other)

ratio - 98(water), 2(other)

(99-x)/1 = 98/2
x=50 i.e, 50 pounds of water evaporates
Remaining is 50 pounds.
_________________
Srinivasan Vaidyaraman
Sravna Test Prep
http://www.sravnatestprep.com

Holistic and Systematic Approach
Manager
Manager
User avatar
Status: folding sleeves up
Joined: 26 Apr 2013
Posts: 121
Location: India
Concentration: Finance, Strategy
GMAT 1: 530 Q39 V23
GMAT 2: 560 Q42 V26
GPA: 3.5
WE: Consulting (Computer Hardware)
Re: Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

Show Tags

New post 10 Sep 2014, 14:16
1
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



Sol:

Image

100-x/x =1/1

2x= 100

x=50
Director
Director
User avatar
G
Joined: 23 Jan 2013
Posts: 524
Schools: Cambridge'16
Re: Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

Show Tags

New post 23 Oct 2014, 08:25
Logically:

We should concentrate on non-water component as not changing in number
1% of non-water ---> 2% of non-water
doubling the concentration that can be only if we halve the total weight, so 100/2=50

Algebraic:

(99-x/100-x)*100=98
100=2x
x=50, so 100-50=50

B
Intern
Intern
User avatar
Joined: 04 Jul 2014
Posts: 44
Schools: Smeal" 20
Re: Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

Show Tags

New post 23 Oct 2014, 20:28
100 pounds of cucumbers have 99 pounds water and 1 pound solid.

Now 1 pound solid is 2% of the total cucumber weight.

So 98% of the cucumber which is water is 49 pounds. [ 2% -> 1 what is 98% ? ......98% is 49]

Therefore the total cucumber weight is 50 pounds.
CEO
CEO
User avatar
D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2978
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
Re: Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

Show Tags

New post 27 Oct 2015, 06:50
1
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


100 pound cucumber Haas 99% water I.e. 1% is the pulp in it

On water evaporation, pulp remains same I.e. 1 pound pulp now should serve the purpose of 2% of total weight of leftover cucumber now because in new weight water is 98%.

1 pound = (2/100)*New weight
I.e. New Weight = 50 Pound

Answer : Option B
_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Retired Moderator
avatar
V
Joined: 22 Jun 2014
Posts: 1091
Location: India
Concentration: General Management, Technology
GMAT 1: 540 Q45 V20
GPA: 2.49
WE: Information Technology (Computer Software)
GMAT ToolKit User
Re: Each of the cucumbers in 100 pounds of cucumbers is composed  [#permalink]

Show Tags

New post 21 Feb 2016, 01:04
1
2
weight * concentration = constant

w1*c1 = w2*c2

100 * 1/100 = w2 * 2/100

w2 = 50 pounds.
_________________
GMAT Club Bot
Re: Each of the cucumbers in 100 pounds of cucumbers is composed   [#permalink] 21 Feb 2016, 01:04

Go to page    1   2    Next  [ 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