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

It is currently 16 Dec 2018, 10:53

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 in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Free GMAT Prep Hour

     December 16, 2018

     December 16, 2018

     03:00 PM EST

     04:00 PM EST

    Strategies and techniques for approaching featured GMAT topics
  • FREE Quant Workshop by e-GMAT!

     December 16, 2018

     December 16, 2018

     07:00 AM PST

     09:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.

In a certain egg-processing plant, every egg must be inspect

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

Hide Tags

Intern
Intern
User avatar
Joined: 13 May 2013
Posts: 24
Concentration: International Business
In a certain egg-processing plant, every egg must be inspect  [#permalink]

Show Tags

New post 06 Jun 2014, 06:23
4
5
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

73% (02:09) correct 27% (02:28) wrong based on 223 sessions

HideShow timer Statistics

In a certain egg-processing plant, every egg must be inspected, and is either accepted for processing or rejected. For every 96 eggs accepted for processing, 4 eggs are rejected. If, on a particular day, 12 additional eggs were accepted, but the overall number of eggs inspected remained the same, the ratio of those accepted to those rejected would be 99 to 1. How many eggs does the plant process per day?

(A) 100
(B) 300
(C) 400
(D) 3,000
(E) 4,000
Most Helpful Community Reply
Director
Director
User avatar
Joined: 25 Apr 2012
Posts: 684
Location: India
GPA: 3.21
WE: Business Development (Other)
Premium Member Reviews Badge
Re: In a certain egg-processing plant,  [#permalink]

Show Tags

New post 08 Jun 2014, 00:13
4
1
Thank you for sharing your method.
Could you please tell me how you were able to 'see' the results of the ratio so easily/fast? I mean the 384 and 16 to 24:1, same with the 396 and 4 to 99:1.


384/16 if you divide will give you a ratio of 24:1...like wise 99:1---Multiply both sides by 4 and you get 396:4....

I won't say I am great with tables...but this could be spotted easily....check out the below method using equations...

How about an equation approach?


Let the Total no of. processed egg each day be T and Total of rejected eggs be Y

So T-Y is total no. accepted eggs.

As per question

\(\frac{T-Y}{Y}\)=96/4 or 24/1-----> Re arrange the equation and you get

T-Y=24Y or T=25Y

After processing 12 more eggs but keeping the total no. of processed eggs T same, the new eqaution becomes

\(\frac{T-Y+12}{Y-12}\)=99/1 ------Rearrange and you get an eqaution
75Y=100*12 or Y=16.

T=25Y so T=25*16=400

Ans is C


Come to think of it, 12 eggs represent nothing but increase in one qty and decrease in another. When total qty produced is same then this change in qty can be indicated as a percentage of Total production.

3%of T=12 or T=400....We can get answer straight away.
_________________


“If you can't fly then run, if you can't run then walk, if you can't walk then crawl, but whatever you do you have to keep moving forward.”

General Discussion
Director
Director
User avatar
Joined: 25 Apr 2012
Posts: 684
Location: India
GPA: 3.21
WE: Business Development (Other)
Premium Member Reviews Badge
Re: In a certain egg-processing plant,  [#permalink]

Show Tags

New post 06 Jun 2014, 09:26
3
Saabs wrote:
In a certain egg-processing plant, every egg must be inspected, and is either accepted for processing or rejected. For every 96 eggs accepted for processing, 4 eggs are rejected. If, on a particular day, 12 additional eggs were accepted, but the overall number of eggs inspected remained the same, the ratio of those accepted to those rejected would be 99 to 1. How many eggs does the plant process per day?

(A) 100
(B) 300
(C) 400
(D) 3,000
(E) 4,000



Straight pluggin in for me. As usual, I started with C and got the answer.

Lets' back calculate and see what we get

Let us consider eggs processed each day to be 400

So Initial ratio of eggs processed and rejected is 96:4 or 24:1

So out of 400 eggs, there will be 384 eggs processed and 16 rejected.

Now if the no. of eggs inspected remain and 12 more eggs get accepted that means there 384+12=396 eggs accepted and 4 rejected...and the ratio will be 99:1

Bingo...this is what the questions says....

Its always a good idea to start with C.
_________________


“If you can't fly then run, if you can't run then walk, if you can't walk then crawl, but whatever you do you have to keep moving forward.”

Intern
Intern
User avatar
Joined: 13 May 2013
Posts: 24
Concentration: International Business
Re: In a certain egg-processing plant,  [#permalink]

Show Tags

New post 07 Jun 2014, 01:31
WoundedTiger wrote:
So out of 400 eggs, there will be 384 eggs processed and 16 rejected.

Now if the no. of eggs inspected remain and 12 more eggs get accepted that means there 384+12=396 eggs accepted and 4 rejected...and the ratio will be 99:1


Thank you for sharing your method.
Could you please tell me how you were able to 'see' the results of the ratio so easily/fast? I mean the 384 and 16 to 24:1, same with the 396 and 4 to 99:1.
Senior Manager
Senior Manager
avatar
Joined: 07 Apr 2012
Posts: 367
Re: In a certain egg-processing plant,  [#permalink]

Show Tags

New post 07 Jun 2014, 23:06
WoundedTiger wrote:
Saabs wrote:
In a certain egg-processing plant, every egg must be inspected, and is either accepted for processing or rejected. For every 96 eggs accepted for processing, 4 eggs are rejected. If, on a particular day, 12 additional eggs were accepted, but the overall number of eggs inspected remained the same, the ratio of those accepted to those rejected would be 99 to 1. How many eggs does the plant process per day?

(A) 100
(B) 300
(C) 400
(D) 3,000
(E) 4,000



Straight pluggin in for me. As usual, I started with C and got the answer.

Lets' back calculate and see what we get

Let us consider eggs processed each day to be 400

So Initial ratio of eggs processed and rejected is 96:4 or 24:1

So out of 400 eggs, there will be 384 eggs processed and 16 rejected.

Now if the no. of eggs inspected remain and 12 more eggs get accepted that means there 384+12=396 eggs accepted and 4 rejected...and the ratio will be 99:1

Bingo...this is what the questions says....

Its always a good idea to start with C.

How about an equation approach?
Senior Manager
Senior Manager
avatar
Joined: 07 Apr 2012
Posts: 367
Re: In a certain egg-processing plant, every egg must be inspect  [#permalink]

Show Tags

New post 19 Jul 2014, 08:14
I tried solving it with this equation but to no success...
Can someone help?

We have : (96X+12)/(4X-12) = 99/1
Solving gets X = 2/5....
I don't get what's wrong....
HELP?
Manager
Manager
avatar
Joined: 24 Jul 2011
Posts: 186
Location: India
GMAT 1: 570 Q50 V19
GMAT 2: 650 Q49 V28
GMAT 3: 690 Q50 V34
WE: Information Technology (Investment Banking)
GMAT ToolKit User Reviews Badge
Re: In a certain egg-processing plant, every egg must be inspect  [#permalink]

Show Tags

New post 08 Dec 2014, 19:51
I guess some calculation error. From this equation you will get X= 4.

Put that value back 96 *4 + 4*4 = 400.


ronr34 wrote:
I tried solving it with this equation but to no success...
Can someone help?

We have : (96X+12)/(4X-12) = 99/1
Solving gets X = 2/5....
I don't get what's wrong....
HELP?

_________________

Middle of nowhere!

Veritas Prep GMAT Instructor
User avatar
P
Joined: 16 Oct 2010
Posts: 8678
Location: Pune, India
Re: In a certain egg-processing plant, every egg must be inspect  [#permalink]

Show Tags

New post 08 Dec 2014, 21:08
3
Saabs wrote:
In a certain egg-processing plant, every egg must be inspected, and is either accepted for processing or rejected. For every 96 eggs accepted for processing, 4 eggs are rejected. If, on a particular day, 12 additional eggs were accepted, but the overall number of eggs inspected remained the same, the ratio of those accepted to those rejected would be 99 to 1. How many eggs does the plant process per day?

(A) 100
(B) 300
(C) 400
(D) 3,000
(E) 4,000


There is a small ambiguity/typo in this question. I will point it out while solving using ratios:

Usually, Accepted:Rejected = 96:4
That day, Accepted:Rejected = 99:1 (Number of eggs inspected same)
Note that, that day, on the ratio scale, 3 additional eggs were accepted and not rejected. These 3 actually account for 12 additional eggs accepted. So the multiplier is 4 because 3*4 = 12.
Hence total number of eggs inspected = (99+1)*4 = 400

Note here that the question asks you "How many eggs does the plant process per day?"
The question uses the word process here: "For every 96 eggs accepted for processing..."
So it implies that the number of eggs processed usually is 96*4 = 384 but that is not there in the options. So I assume the question meant to say "how many eggs are inspected per day?"
_________________

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 >

Manager
Manager
avatar
Joined: 21 Sep 2012
Posts: 214
Location: United States
Concentration: Finance, Economics
Schools: CBS '17
GPA: 4
WE: General Management (Consumer Products)
In a certain egg-processing plant, every egg must be inspect  [#permalink]

Show Tags

New post 08 Dec 2014, 21:22
1
Change in accepted eggs = 12 eggs
Change in % of accepted eggs = 3% (99%-96%)
Therefore eggs per % = 12/3= 4
Therefore total eggs = 4*100=400

1%=4 eggs can also be verified with number of rejected eggs. When 12 fewer eggs are rejected, % of rejection should go down by 12/4= 3% and it is indeed going down by 3% (4%-1%).

Ans = C
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1825
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: In a certain egg-processing plant, every egg must be inspect  [#permalink]

Show Tags

New post 08 Dec 2014, 23:17
2
ronr34 wrote:
I tried solving it with this equation but to no success...
Can someone help?

We have : (96X+12)/(4X-12) = 99/1
Solving gets X = 2/5....
I don't get what's wrong....
HELP?



Inspected ........................... Accepted ............................ Rejected

=96x+4x = 100x ............................ 96x .......................... 4x (Let x be the egg procurement variable)

25x ........................................ 24x ...................................... x (Removing the common factor 4)

25x ......................................... 24x+12 ............................... x-12

If 12 more are accepted, it means "12 less" are rejected

Given that \(\frac{24x+12}{x-12} = \frac{99}{1}\)

99(x-12) = 12(2x+1)

33(x-12) = 4(2x+1)

33x - 33*12 = 8x + 4

25x = 33*12 + 4

25x = 4(33*3 + 1)

\(x = 4 * \frac{100}{25} = 16\)

Total eggs = 25*16 = 400

Answer = C
_________________

Kindly press "+1 Kudos" to appreciate :)

Senior Manager
Senior Manager
User avatar
Status: Math is psycho-logical
Joined: 07 Apr 2014
Posts: 417
Location: Netherlands
GMAT Date: 02-11-2015
WE: Psychology and Counseling (Other)
Re: In a certain egg-processing plant, every egg must be inspect  [#permalink]

Show Tags

New post 04 Jan 2015, 03:48
This is what I did, but it was only after a long time. So, no way I would have solved it correctly.

Initially: A/R=96/4
Then:A/R=99/1

From 96 to 99 we have a difference of 3. [1]
From initial number of eggs to latter we have 12 more. [2]
From [1] and [2] we have that this difference of 3 in actual terms is 12 eggs.

So:
3 is 12 eggs
1 is 4 eggs, just cross multiplying 1-->12 | x-->4, which leads to 3x=12 and x=4.

Adding these up:
3 is 12 eggs
1 is 4 eggs
4 is 12 eggs [3]
100 is x eggs? [4]

Cross multiplying leads to 4x=16(100) | x=1600/4 | x=400.
Senior Manager
Senior Manager
User avatar
Status: Math is psycho-logical
Joined: 07 Apr 2014
Posts: 417
Location: Netherlands
GMAT Date: 02-11-2015
WE: Psychology and Counseling (Other)
Re: In a certain egg-processing plant, every egg must be inspect  [#permalink]

Show Tags

New post 04 Jan 2015, 03:50
One typo above:

4 is 12 eggs [3]
100 is x eggs? [4]
4 is 12 eggs [3] -------> 4 is 16 eggs
Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 2214
Premium Member CAT Tests
In a certain egg-processing plant, every egg must be inspect  [#permalink]

Show Tags

New post 17 Jul 2017, 18:18
Saabs wrote:
In a certain egg-processing plant, every egg must be inspected, and is either accepted for processing or rejected. For every 96 eggs accepted for processing, 4 eggs are rejected. If, on a particular day, 12 additional eggs were accepted, but the overall number of eggs inspected remained the same, the ratio of those accepted to those rejected would be 99 to 1. How many eggs does the plant process per day?

(A) 100
(B) 300
(C) 400
(D) 3,000
(E) 4,000


For some multiplier x, original ratio is

\(\frac{Accepted}{Rejected}\) = \(\frac{96x}{4x}\)

When 12 additional eggs are accepted, total number of eggs does not change but ratio becomes \(\frac{99}{1}\)

\(\frac{96x + 12}{4x -12}\) = \(\frac{99}{1}\)

96x + 12 = 396x - 1188

1200 = 300x

x = 4

From original ratio, total # of eggs processed is

(96)*(4) + (4)*(4) =
384 + 16 = 400

Answer C
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9185
Premium Member
Re: In a certain egg-processing plant, every egg must be inspect  [#permalink]

Show Tags

New post 07 Oct 2018, 12:23
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: In a certain egg-processing plant, every egg must be inspect &nbs [#permalink] 07 Oct 2018, 12:23
Display posts from previous: Sort by

In a certain egg-processing plant, every egg must be inspect

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.