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Source: — Problem Solving |
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by liferocks » Wed May 19, 2010 4:58 am
let x be the number of application recommended by 2 person and y be the number of application recommended by 3 persons
for max common recomendation,
hence 30+x+2y=15+17+20 or x+2y=22

maximum y is 11..so 3 people can recommend at MAX 11

Not sure if the question is correct.Can you please check.
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by sanju09 » Wed May 19, 2010 5:05 am
liferocks wrote:let x be the number of application recommended by 2 person and y be the number of application recommended by 3 persons
for max common recomendation,
hence 30+x+2y=15+17+20 or x+2y=22

maximum y is 11..so 3 people can recommend at MAX 11

Not sure if the question is correct.Can you please check.
What exactly is happening here or do I really need rest now?
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

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by liferocks » Wed May 19, 2010 5:16 am
sanju09 wrote:
liferocks wrote:let x be the number of application recommended by 2 person and y be the number of application recommended by 3 persons
for max common recomendation,
hence 30+x+2y=15+17+20 or x+2y=22

maximum y is 11..so 3 people can recommend at MAX 11

Not sure if the question is correct.Can you please check.
What exactly is happening here or do I really need rest now?
The question says first person can recommend 15 , second can 17 and third can 20,,but it does not says what is the minimum applications any person can recommended .So we can get what is the maximum recommendations not the minimum. That's why I thought question might not be correct .
"If you don't know where you are going, any road will get you there."
Lewis Carroll
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by sanju09 » Wed May 19, 2010 5:58 am
liferocks wrote:
sanju09 wrote:
liferocks wrote:let x be the number of application recommended by 2 person and y be the number of application recommended by 3 persons
for max common recomendation,
hence 30+x+2y=15+17+20 or x+2y=22

maximum y is 11..so 3 people can recommend at MAX 11

Not sure if the question is correct.Can you please check.
What exactly is happening here or do I really need rest now?
The question says first person can recommend 15 , second can 17 and third can 20,,but it does not says what is the minimum applications any person can recommended .So we can get what is the maximum recommendations not the minimum. That's why I thought question might not be correct .
The posted stuff has no doubt more than one shortcoming that avert us to call it a genuine GMAT PS, but I am asking what has made you write what's in bold above, what was your previous interpretation like, and hence what!!
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
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by liferocks » Wed May 19, 2010 9:18 am
sanju09 wrote:
liferocks wrote:
sanju09 wrote:
liferocks wrote:let x be the number of application recommended by 2 person and y be the number of application recommended by 3 persons
for max common recomendation,
hence 30+x+2y=15+17+20 or x+2y=22

maximum y is 11..so 3 people can recommend at MAX 11

Not sure if the question is correct.Can you please check.
What exactly is happening here or do I really need rest now?
The question says first person can recommend 15 , second can 17 and third can 20,,but it does not says what is the minimum applications any person can recommended .So we can get what is the maximum recommendations not the minimum. That's why I thought question might not be correct .
The posted stuff has no doubt more than one shortcoming that avert us to call it a genuine GMAT PS, but I am asking what has made you write what's in bold above, what was your previous interpretation like, and hence what!!
ok..this is how I got it

Since first person can recommend 15 , second can 17 and third can 20 maximum number of recomendation is 15+17+20=52

this will contain all application that has only one reco+ 2* all application that has two reco+ 3* all application that has 3 reco

which is nothing but 30+x+2y as per mentioned conventions

so 30+x+2y=52 or x+2y=22
now here if we want to maximize y,which is number of applications with 3 reco,x has to be minimised..minimum possible number is 0 and hence max y=11
"If you don't know where you are going, any road will get you there."
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by sanju09 » Wed May 19, 2010 11:57 pm
liferocks wrote:
sanju09 wrote:
liferocks wrote:
sanju09 wrote:
liferocks wrote:let x be the number of application recommended by 2 person and y be the number of application recommended by 3 persons
for max common recomendation,
hence 30+x+2y=15+17+20 or x+2y=22

maximum y is 11..so 3 people can recommend at MAX 11

Not sure if the question is correct.Can you please check.
What exactly is happening here or do I really need rest now?
The question says first person can recommend 15 , second can 17 and third can 20,,but it does not says what is the minimum applications any person can recommended .So we can get what is the maximum recommendations not the minimum. That's why I thought question might not be correct .
The posted stuff has no doubt more than one shortcoming that avert us to call it a genuine GMAT PS, but I am asking what has made you write what's in bold above, what was your previous interpretation like, and hence what!!
ok..this is how I got it

Since first person can recommend 15 , second can 17 and third can 20 maximum number of recomendation is 15+17+20=52

this will contain all application that has only one reco+ 2* all application that has two reco+ 3* all application that has 3 reco

which is nothing but 30+x+2y as per mentioned conventions

so 30+x+2y=52 or x+2y=22
now here if we want to maximize y,which is number of applications with 3 reco,x has to be minimised..minimum possible number is 0 and hence max y=11
...and what are x and y there?
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
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by liferocks » Thu May 20, 2010 12:50 am
sanju09 wrote:
liferocks wrote:
sanju09 wrote:
liferocks wrote:
sanju09 wrote:
liferocks wrote:let x be the number of application recommended by 2 person and y be the number of application recommended by 3 persons
for max common recomendation,
hence 30+x+2y=15+17+20 or x+2y=22

maximum y is 11..so 3 people can recommend at MAX 11

Not sure if the question is correct.Can you please check.
What exactly is happening here or do I really need rest now?
The question says first person can recommend 15 , second can 17 and third can 20,,but it does not says what is the minimum applications any person can recommended .So we can get what is the maximum recommendations not the minimum. That's why I thought question might not be correct .
The posted stuff has no doubt more than one shortcoming that avert us to call it a genuine GMAT PS, but I am asking what has made you write what's in bold above, what was your previous interpretation like, and hence what!!
ok..this is how I got it

Since first person can recommend 15 , second can 17 and third can 20 maximum number of recomendation is 15+17+20=52

this will contain all application that has only one reco+ 2* all application that has two reco+ 3* all application that has 3 reco

which is nothing but 30+x+2y as per mentioned conventions

so 30+x+2y=52 or x+2y=22
now here if we want to maximize y,which is number of applications with 3 reco,x has to be minimised..minimum possible number is 0 and hence max y=11
...and what are x and y there?
x is all application that has two reco
y is ll application that has 3 reco
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by sanju09 » Thu May 20, 2010 1:12 am
x is all application that has two reco
y is ll application that has 3 reco
then why isn't it matching with...
this will contain all application that has only one reco+ 2* all application that has two reco+ 3* all application that has 3 reco

which is nothing but 30+x+2y as per mentioned conventions
?
The mind is everything. What you think you become. -Lord Buddha



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The Princeton Review - Manya Abroad
Lucknow-226001

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by liferocks » Thu May 20, 2010 2:46 am
sanju09 wrote:
x is all application that has two reco
y is ll application that has 3 reco
then why isn't it matching with...
this will contain all application that has only one reco+ 2* all application that has two reco+ 3* all application that has 3 reco

which is nothing but 30+x+2y as per mentioned conventions
?
that is because

all application that has only one reco+ 2* all application that has two reco+3* all application that has 3 reco =
[application that has only one reco+all application that has two reco+all application that has 3 reco]+1*all application that has two reco+2*all application that has 3 reco =
Total number of applicant+1*all application that has two reco+2*all application that has 3 reco=30+x+2*y
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