company

[jainrahul1985]

In a company a total of 30 applications . First person can recommend 15 , second can 17 and third can 20 . Simultaneously these 3 people can recommend atleast how many ?

[liferocks]

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.

[sanju09]

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?

[liferocks]

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 .

[sanju09]

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!!

[liferocks]

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

[sanju09]

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?

[liferocks]

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

[sanju09]

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

?

[liferocks]

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