Of the goose eggs laid at a certain pond, 2/3 hatched and 3/ : GMAT Problem Solving (PS)
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# Of the goose eggs laid at a certain pond, 2/3 hatched and 3/

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Of the goose eggs laid at a certain pond, 2/3 hatched and 3/ [#permalink]

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19 Jun 2008, 23:38
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Of the goose eggs laid at a certain pond, 2/3 hatched and 3/4 of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, 3/5 did not survive the first year. If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?

(A) 280
(B) 400
(C) 540
(D) 600
(E) 840

[Reveal] Spoiler:
I tried solving it in this way
Let total eggs laid=x
then x*(2/3)*(3/4)*(3/5) is the no of eggs who didnt survive
so eggs who survived= x-3x/10=120
this doesnt give answer.

OPEN DISCUSSION OF THIS QUESTION IS HERE: of-the-goose-eggs-laid-at-a-certain-pond-2-3-hatched-and-166832.html
[Reveal] Spoiler: OA

Last edited by Bunuel on 31 Mar 2014, 10:35, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Re: PS: goose eggs [#permalink]

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19 Jun 2008, 23:44
1
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Based on the Q stem if total eggs were X then 3/4x2/3x2/5xX=120
Ans: 600
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Re: PS: goose eggs [#permalink]

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20 Jun 2008, 00:14
ritula wrote:
Of the goose eggs laid at a certain pond, 2/3 hatched, and 3/4 of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, 3/5 did not survive the first year. If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?
A. 280
B. 400
C. 540
D. 600
E. 840
I tried solving it in this way
Let total eggs laid=x
then x*(2/3)*(3/4)*(3/5) is the no of eggs who didnt survive
so eggs who survived= x-3x/10=120
this doesnt give answer.

your ratios are wrong. they should be 1/3, 1/4 and 3/5
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Re: PS: goose eggs [#permalink]

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20 Jun 2008, 00:31
ritula wrote:
Of the goose eggs laid at a certain pond, 2/3 hatched, and 3/4 of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, 3/5 did not survive the first year. If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?
A. 280
B. 400
C. 540
D. 600
E. 840
I tried solving it in this way
Let total eggs laid=x
then x*(2/3)*(3/4)*(3/5) is the no of eggs who didnt survive
so eggs who survived= x-3x/10=120
this doesnt give answer.

IMO D
My approach
let the total number of eggs laid be x
2/3 hathced = 2x/3
and 3/4 of the geese that hatched from those eggs survived the first month = x/2
Of the geese that survived the first month, 3/5 did not survive the first year(number who survived) = x/5
which is equal to 120
therefore
x = 600
HTH
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Re: PS: goose eggs [#permalink]

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20 Jun 2008, 05:52
ritula wrote:
Of the goose eggs laid at a certain pond, 2/3 hatched, and 3/4 of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, 3/5 did not survive the first year. If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?
A. 280
B. 400
C. 540
D. 600
E. 840
I tried solving it in this way
Let total eggs laid=x
then x*(2/3)*(3/4)*(3/5) is the no of eggs who didnt survive
so eggs who survived= x-3x/10=120
this doesnt give answer.

I got D.

let t bee the total number of eggs laid. Of the tatal eggs laid, 2/3 hatched therfore 2/3t.
3/4 of the eggs that hatched survived the first month. 3/4 x 2/3t = 1/2t
3/5 did not survive the first year hence 3/5 x 1/2t = 3/10t
meaning 2/10t survived.
so it says 120 geese = 2/10t.

therefore to find the total number of eggs hatched will be 120 x 10/2t which is equal to 600.
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Re: PS: goose eggs [#permalink]

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20 Jun 2008, 07:17
1
KUDOS
ritula wrote:
2/3 hatched
3/4 of the geese survived
3/5 did not survive

This is a great example of what tricks thrown at you in the GMAT. Read carefully for the "not" modifiers. Not only in the full question, but in the question stem. They are testing more your ability to critically read than your ability to solve math problems.
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Re: PS: goose eggs [#permalink]

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21 Jun 2008, 09:34
ok now i know wht mistake i was doing. Instead of the last protion, i was negating the whole stem. the OA is D indeed. thanks all for discussion
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Re: PS: goose eggs [#permalink]

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23 Nov 2010, 06:15
1
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You can also back solve this question by picking choices from answers ( makes life easier)
for example pick D =600
600*2/3=400 hatched
400*3/4=300 Survived first month
300*3/5=180 did not survive
Total survived=300-180=120

So we get answer from 600 i.e answer choice D
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Re: PS: goose eggs [#permalink]

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23 Nov 2010, 08:37
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Expert's post
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This post was
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ritula wrote:
Of the goose eggs laid at a certain pond, 2/3 hatched, and 3/4 of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, 3/5 did not survive the first year. If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?
A. 280
B. 400
C. 540
D. 600
E. 840
I tried solving it in this way
Let total eggs laid=x
then x*(2/3)*(3/4)*(3/5) is the no of eggs who didnt survive
so eggs who survived= x-3x/10=120
this doesnt give answer.

When you face a long text question in GMAT, try reading and analyzing one line at a time rather than trying to make sense of the whole question in a go. This is what I would do:

Of the goose eggs laid at a certain pond, 2/3 hatched, and 3/4 of the geese that hatched from those eggs survived the first month.
- This means 2/3 *3/4 = 1/2 of the eggs survived the first month.

Of the geese that survived the first month, 3/5 did not survive the first year.
- This means 3/5 of 1/2 (those who survived first month) i.e. 3/10 did not survive the first year and 2/5 of 1/2 = 1/5 survived the first year.

If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?
- This means 1/5 calculated above is equal to 120 so total eggs laid were 5*120 = 600.

More often than not, by the time you reach the last statement, most of your question would be already solved.
_________________

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Re: Of the goose eggs laid at a certain pond, 2/3 hatched, and [#permalink]

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31 Mar 2014, 10:29
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Re: Of the goose eggs laid at a certain pond, 2/3 hatched and 3/ [#permalink]

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31 Mar 2014, 10:36
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Of the goose eggs laid at a certain pond, 2/3 hatched and 3/4 of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, 3/5 did not survive the first year. If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?

(A) 280
(B) 400
(C) 540
(D) 600
(E) 840

Of the goose eggs laid at a certain pond, 2/3 hatched and 3/4 of the geese that hatched from those eggs survived the first month:
2/3*3/4 = 1/2 survived the first month.

Of the geese that survived the first month, 3/5 did not survive the first year:
(1-3/5)*1/2 = 1/5 survived the first year.

120 geese survived the first year:

1/5*(total) = 120 --> (total) = 600.

Quantitative Review, 2ND Edition Directory is here: quantitative-review-2nd-edition-directory-164896.html

OPEN DISCUSSION OF THIS QUESTION IS HERE: of-the-goose-eggs-laid-at-a-certain-pond-2-3-hatched-and-166832.html
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Re: Of the goose eggs laid at a certain pond, 2/3 hatched and 3/   [#permalink] 31 Mar 2014, 10:36
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# Of the goose eggs laid at a certain pond, 2/3 hatched and 3/

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 Powered by phpBB © phpBB Group and phpBB SEO 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®.
The content of the passage can be summarized as follows:

1. The passage describes a math problem from the GMAT Problem Solving (PS) section.
2. It provides the problem statement about goose eggs hatched and survival rates.
3. The original poster (ritula) attempted to solve it but made a mistake in the ratios.
4. Other users provided correct solutions, with the answer being 600 (option D).
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
Of the goose eggs laid at a certain pond, 2/3 hatched and 3/ : GMAT Problem Solving (PS)
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# Of the goose eggs laid at a certain pond, 2/3 hatched and 3/

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VP
Joined: 18 May 2008
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Of the goose eggs laid at a certain pond, 2/3 hatched and 3/ [#permalink]

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19 Jun 2008, 23:38
1
KUDOS
4
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

78% (02:25) correct 22% (01:23) wrong based on 208 sessions

### HideShow timer Statistics

Of the goose eggs laid at a certain pond, 2/3 hatched and 3/4 of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, 3/5 did not survive the first year. If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?

(A) 280
(B) 400
(C) 540
(D) 600
(E) 840

[Reveal] Spoiler:
I tried solving it in this way
Let total eggs laid=x
then x*(2/3)*(3/4)*(3/5) is the no of eggs who didnt survive
so eggs who survived= x-3x/10=120
this doesnt give answer.

OPEN DISCUSSION OF THIS QUESTION IS HERE: of-the-goose-eggs-laid-at-a-certain-pond-2-3-hatched-and-166832.html
[Reveal] Spoiler: OA

Last edited by Bunuel on 31 Mar 2014, 10:35, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Re: PS: goose eggs [#permalink]

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19 Jun 2008, 23:44
1
KUDOS
Based on the Q stem if total eggs were X then 3/4x2/3x2/5xX=120
Ans: 600
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Re: PS: goose eggs [#permalink]

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20 Jun 2008, 00:14
ritula wrote:
Of the goose eggs laid at a certain pond, 2/3 hatched, and 3/4 of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, 3/5 did not survive the first year. If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?
A. 280
B. 400
C. 540
D. 600
E. 840
I tried solving it in this way
Let total eggs laid=x
then x*(2/3)*(3/4)*(3/5) is the no of eggs who didnt survive
so eggs who survived= x-3x/10=120
this doesnt give answer.

your ratios are wrong. they should be 1/3, 1/4 and 3/5
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Joined: 29 Aug 2005
Posts: 283
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Re: PS: goose eggs [#permalink]

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20 Jun 2008, 00:31
ritula wrote:
Of the goose eggs laid at a certain pond, 2/3 hatched, and 3/4 of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, 3/5 did not survive the first year. If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?
A. 280
B. 400
C. 540
D. 600
E. 840
I tried solving it in this way
Let total eggs laid=x
then x*(2/3)*(3/4)*(3/5) is the no of eggs who didnt survive
so eggs who survived= x-3x/10=120
this doesnt give answer.

IMO D
My approach
let the total number of eggs laid be x
2/3 hathced = 2x/3
and 3/4 of the geese that hatched from those eggs survived the first month = x/2
Of the geese that survived the first month, 3/5 did not survive the first year(number who survived) = x/5
which is equal to 120
therefore
x = 600
HTH
_________________

The world is continuous, but the mind is discrete

Senior Manager
Joined: 07 Feb 2008
Posts: 315
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Re: PS: goose eggs [#permalink]

### Show Tags

20 Jun 2008, 05:52
ritula wrote:
Of the goose eggs laid at a certain pond, 2/3 hatched, and 3/4 of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, 3/5 did not survive the first year. If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?
A. 280
B. 400
C. 540
D. 600
E. 840
I tried solving it in this way
Let total eggs laid=x
then x*(2/3)*(3/4)*(3/5) is the no of eggs who didnt survive
so eggs who survived= x-3x/10=120
this doesnt give answer.

I got D.

let t bee the total number of eggs laid. Of the tatal eggs laid, 2/3 hatched therfore 2/3t.
3/4 of the eggs that hatched survived the first month. 3/4 x 2/3t = 1/2t
3/5 did not survive the first year hence 3/5 x 1/2t = 3/10t
meaning 2/10t survived.
so it says 120 geese = 2/10t.

therefore to find the total number of eggs hatched will be 120 x 10/2t which is equal to 600.
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Re: PS: goose eggs [#permalink]

### Show Tags

20 Jun 2008, 07:17
1
KUDOS
ritula wrote:
2/3 hatched
3/4 of the geese survived
3/5 did not survive

This is a great example of what tricks thrown at you in the GMAT. Read carefully for the "not" modifiers. Not only in the full question, but in the question stem. They are testing more your ability to critically read than your ability to solve math problems.
VP
Joined: 18 May 2008
Posts: 1286
Followers: 16

Kudos [?]: 423 [0], given: 0

Re: PS: goose eggs [#permalink]

### Show Tags

21 Jun 2008, 09:34
ok now i know wht mistake i was doing. Instead of the last protion, i was negating the whole stem. the OA is D indeed. thanks all for discussion
Intern
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Posts: 48
WE 1: Business Development Manger
WE 2: Assistant Manager-Carbon Trading
WE 3: Manager-Carbon Trading
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Kudos [?]: 53 [1] , given: 16

Re: PS: goose eggs [#permalink]

### Show Tags

23 Nov 2010, 06:15
1
KUDOS
You can also back solve this question by picking choices from answers ( makes life easier)
for example pick D =600
600*2/3=400 hatched
400*3/4=300 Survived first month
300*3/5=180 did not survive
Total survived=300-180=120

So we get answer from 600 i.e answer choice D
Veritas Prep GMAT Instructor
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Posts: 7187
Location: Pune, India
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Re: PS: goose eggs [#permalink]

### Show Tags

23 Nov 2010, 08:37
4
KUDOS
Expert's post
2
This post was
BOOKMARKED
ritula wrote:
Of the goose eggs laid at a certain pond, 2/3 hatched, and 3/4 of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, 3/5 did not survive the first year. If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?
A. 280
B. 400
C. 540
D. 600
E. 840
I tried solving it in this way
Let total eggs laid=x
then x*(2/3)*(3/4)*(3/5) is the no of eggs who didnt survive
so eggs who survived= x-3x/10=120
this doesnt give answer.

When you face a long text question in GMAT, try reading and analyzing one line at a time rather than trying to make sense of the whole question in a go. This is what I would do:

Of the goose eggs laid at a certain pond, 2/3 hatched, and 3/4 of the geese that hatched from those eggs survived the first month.
- This means 2/3 *3/4 = 1/2 of the eggs survived the first month.

Of the geese that survived the first month, 3/5 did not survive the first year.
- This means 3/5 of 1/2 (those who survived first month) i.e. 3/10 did not survive the first year and 2/5 of 1/2 = 1/5 survived the first year.

If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?
- This means 1/5 calculated above is equal to 120 so total eggs laid were 5*120 = 600.

More often than not, by the time you reach the last statement, most of your question would be already solved.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for \$199

Veritas Prep Reviews

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13959
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Kudos [?]: 167 [0], given: 0

Re: Of the goose eggs laid at a certain pond, 2/3 hatched, and [#permalink]

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31 Mar 2014, 10:29
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.
_________________
Math Expert
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Kudos [?]: 96576 [1] , given: 10770

Re: Of the goose eggs laid at a certain pond, 2/3 hatched and 3/ [#permalink]

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31 Mar 2014, 10:36
1
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Expert's post
Of the goose eggs laid at a certain pond, 2/3 hatched and 3/4 of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, 3/5 did not survive the first year. If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?

(A) 280
(B) 400
(C) 540
(D) 600
(E) 840

Of the goose eggs laid at a certain pond, 2/3 hatched and 3/4 of the geese that hatched from those eggs survived the first month:
2/3*3/4 = 1/2 survived the first month.

Of the geese that survived the first month, 3/5 did not survive the first year:
(1-3/5)*1/2 = 1/5 survived the first year.

120 geese survived the first year:

1/5*(total) = 120 --> (total) = 600.

Quantitative Review, 2ND Edition Directory is here: quantitative-review-2nd-edition-directory-164896.html

OPEN DISCUSSION OF THIS QUESTION IS HERE: of-the-goose-eggs-laid-at-a-certain-pond-2-3-hatched-and-166832.html
_________________
Re: Of the goose eggs laid at a certain pond, 2/3 hatched and 3/   [#permalink] 31 Mar 2014, 10:36
Similar topics Replies Last post
Similar
Topics:
11 In a certain egg-processing plant, every egg must be inspect 12 06 Jun 2014, 06:23
15 Of the goose eggs laid at a certain pond, 2/3 hatched and 3/ 9 30 Jan 2014, 00:55
6 A certain bag of gem stones is composed of 2/3 diamonds and 3 10 Aug 2013, 08:39
10 Vial V is 2/3 full of a certain solution and vial W, which 7 08 Mar 2013, 10:16
2 In 1986 the book value of a certain car was 2/3 original 8 12 Aug 2012, 07:39
Display posts from previous: Sort by

# Of the goose eggs laid at a certain pond, 2/3 hatched and 3/

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 Powered by phpBB © phpBB Group and phpBB SEO 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®.
user
The content of the passage can be summarized as follows:

1. The passage describes a math problem from the GMAT Problem Solving (PS) section.
2. It provides the problem statement about goose eggs hatched and survival rates.
3. The original poster (ritula) attempted to solve it but made a mistake in the ratios.
4. Other users provided correct solutions, with the answer being 600 (option D).

TYPE: SINGLE_QUESTION_WITH_ANSWER