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At a particular business school which requires applicants to submit GM

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At a particular business school which requires applicants to submit GM  [#permalink]

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New post 21 Dec 2017, 20:44
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At a particular business school which requires applicants to submit GMAT scores, the difference between the average GMAT score of admitted applicants in 2017 was 15 points higher than the average GMAT score of rejected applicants in 2017. What was the average GMAT score of all applicants in 2017?

(1) The average GMAT score of admitted applicants in 2017 was 700.

(2) The business school admitted 10% of those who applied in 2017.

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Re: At a particular business school which requires applicants to submit GM  [#permalink]

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New post 15 Jan 2018, 07:08
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But we still dont have the number of students admitted or rejected?

Can someone please explain? How is the relationship enough calculate the new average?


Thanks!
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Re: At a particular business school which requires applicants to submit GM  [#permalink]

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New post 22 Dec 2017, 00:41
1
Weighted average question
(Average of admitted*Number of admitted + Average of rejected * Number of rejected)/number of admitted+number of rejected = Average of all applicants


(1) from this statement we can discover the value of rejected however ni information about the numbers
(2) this statement shows the relationship between number of rejected and number of admitted however no information about the averages
(1)+(2)
here we have Averages of both admitted and rejected and relationship between numbers, so after substituting numbers we get the Average of all applicants =~ 686
Sufficient
Answer C
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Re: At a particular business school which requires applicants to submit GM  [#permalink]

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New post 15 Jan 2018, 07:31
Prachikh wrote:
But we still dont have the number of students admitted or rejected?

Can someone please explain? How is the relationship enough calculate the new average?


Thanks!



Hi,

you dont require the exact number here as you have the ratio as we are working on average of two sets of items..


lets take a simple scenario..
10 % of a class has average of 90 marks and 90% has an average of 50 marks..
combined average = \(50+40*\frac{100-90}{100}=50+4=54\)

Now say the strength is 50.
so 10% that is 5 have 90 and remaining 45 have 50..
combined average = \(\frac{5*90+45*50}{50}=54\)
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At a particular business school which requires applicants to submit GM  [#permalink]

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New post 11 Jun 2018, 06:56
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Bunuel wrote:
At a particular business school which requires applicants to submit GMAT scores, the difference between the average GMAT score of admitted applicants in 2017 was 15 points higher than the average GMAT score of rejected applicants in 2017. What was the average GMAT score of all applicants in 2017?

(1) The average GMAT score of admitted applicants in 2017 was 700.

(2) The business school admitted 10% of those who applied in 2017.



Let Average admitted GMAT score=\(x_{avg}\), Average rejected GMAT score=\(y_{avg}\), \(n_1\)=no of applicants admitted, \(n_2\)=no of applicants rejected

Given, \(x_{avg}=y_{avg}+15\)
Question stem:- Average GMAT score of all applicants in 2017= \(\frac{n_1*x_{avg}+n_2*y_{avg}}{n_1+n_2}\) ?-----------(a)

St1:- \(x_{avg}=700\) so, \(y_{avg}=700-15=685\)

But , we have no information on no of students.
hence insufficient

St2:- Let 'n' be the total no of applicants in 2017.

Given, \(n_1\)=10% of n=0.1n, so \(n_2=n-n_1=n-0.1n=0.9n\)

We know only the ratio of \(n_1\) & \(n_2\), however, no information available on \(x_{avg}\) and \(y_{avg}\).

Hence insufficient.
(1)+(2),

from (a), we have, Average GMAT score of all applicants in 2017= \(\frac{700*0.1n+685*0.9n}{n}\)=70+616.5=686.5

Therefore, Answer is (C).
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At a particular business school which requires applicants to submit GM &nbs [#permalink] 11 Jun 2018, 06:56
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