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Of the goose eggs laid at a certain pond, 2/3 hatched and 3/4 of the g
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19 May 2022, 01:35
19 May 2022, 01:35
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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
(A) 280
(B) 400
(C) 540
(D) 600
(E) 840
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
Re: Of the goose eggs laid at a certain pond, 2/3 hatched and 3/4 of the g
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19 May 2022, 04:30
19 May 2022, 04:30
1
Eggs=x
2/3x hatched
2/3x(3/4)=2/4x = 1/2x
2/5(1/2x)=1/5x
X=120(5)
X=600
Posted from my mobile device
2/3x hatched
2/3x(3/4)=2/4x = 1/2x
2/5(1/2x)=1/5x
X=120(5)
X=600
Posted from my mobile device
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Posts: 6218
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Re: Of the goose eggs laid at a certain pond, 2/3 hatched and 3/4 of the g
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19 May 2022, 04:44
19 May 2022, 04:44
1
Carcass 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
(A) 280
(B) 400
(C) 540
(D) 600
(E) 840
STRATEGY: Upon reading any GRE Multiple Choice question, we should always ask, Can I use the answer choices to my advantage?
In this case, we can easily test the answer choices.
From here, I'd typically give myself up to 20 seconds to identify a faster approach, but I can already see that I can immediately in lemonade to answer choices, which means I only need to test one answer choice.
We’re told that 2/3 of the goose eggs laid hatch.
Since the answer choices tell us the number of goose eggs laid, we can immediately eliminate choices A and B since 2/3 of 280 and 2/3 of 400 don’t result in integer values (and this real world question doesn’t allow for fractional hatchlings!).
From here, we’ll test choice D (the middle remaining choice). If it works, we’re done. If we end up with more than 120 geese, then the correct answer must be C. If we end up with fewer than 120 geese, then the correct answer must be E.
(D) 600 This tells us the number of goose eggs we start with.
Given: 2/3 of the eggs hatched. So, the total number of hatchlings = 2/3 of 600 = 400
Given: 3/4 of the hatchlings survived the first month. So, the number of 1st month survivors = 3/4 of 400 = 300
Given: Of the geese that survived the first month, 3/5 did not survive the first year, which means 2/5 of those geese survived.. So, the number of survivors = 2/5 of 300 = 120
Perfect!! This matches the information in the question.
Answer: D
