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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
Posts: 1109
Of the goose eggs laid at a certain pond, 2/3 hatched and 3/  [#permalink]

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Updated on: 31 Mar 2014, 10:35
2
6
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Difficulty:

15% (low)

Question Stats:

80% (01:24) correct 20% (01:20) wrong based on 277 sessions

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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

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

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

Originally posted by ritula on 19 Jun 2008, 23:38.
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.
Manager
Joined: 24 Apr 2008
Posts: 156

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19 Jun 2008, 23:44
2
Based on the Q stem if total eggs were X then 3/4x2/3x2/5xX=120
Ans: 600
Intern
Joined: 09 Jun 2008
Posts: 9

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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

your ratios are wrong. they should be 1/3, 1/4 and 3/5
Senior Manager
Joined: 29 Aug 2005
Posts: 251

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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

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: 290

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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

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.
Intern
Joined: 18 Jun 2008
Posts: 42

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20 Jun 2008, 07:17
1
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: 1109

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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
Intern
Joined: 02 Sep 2010
Posts: 42

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23 Nov 2010, 06:15
1
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

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8678
Location: Pune, India

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23 Nov 2010, 08:37
9
1
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

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

Math Expert
Joined: 02 Sep 2009
Posts: 51215
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
3
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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Posts: 9162
Re: Of the goose eggs laid at a certain pond, 2/3 hatched and 3/  [#permalink]

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13 Aug 2018, 04:22
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Re: Of the goose eggs laid at a certain pond, 2/3 hatched and 3/ &nbs [#permalink] 13 Aug 2018, 04:22
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