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

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Joined: 02 Sep 2009
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At a particular business school which requires applicants to submit GM  [#permalink]

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21 Dec 2017, 20:44
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Difficulty:

45% (medium)

Question Stats:

67% (01:15) correct 33% (00:48) wrong based on 81 sessions

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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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Joined: 02 Mar 2017
Posts: 4
Re: At a particular business school which requires applicants to submit GM  [#permalink]

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15 Jan 2018, 07:08
5
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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Senior Manager
Joined: 05 Dec 2016
Posts: 251
Concentration: Strategy, Finance
GMAT 1: 620 Q46 V29
Re: At a particular business school which requires applicants to submit GM  [#permalink]

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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
Math Expert
Joined: 02 Aug 2009
Posts: 6802
Re: At a particular business school which requires applicants to submit GM  [#permalink]

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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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11 Jun 2018, 06:56
1
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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# At a particular business school which requires applicants to submit GM

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