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Of the 60 students in a class, only the students who had obt

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Of the 60 students in a class, only the students who had obt

by RBBmba@2014 » Mon May 18, 2015 8:43 am
Of the 60 students in a class, only the students who had obtained Grade A in Science could apply for a scholarship. Only 1 out of every 5 students who applied for a scholarship got it. If the ratio of the number of students who got the scholarship to the number of students who did not get the scholarship is not more than 1:9, what is the maximum possible number of students who applied for but did not get the scholarship? Assume that all the students who were eligible for the scholarship applied for it.

(A) 6
(B) 12
(C) 24
(D) 30
(E) 54

OA: C
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by DavidG@VeritasPrep » Mon May 18, 2015 8:52 am
Of the 60 students in a class, only the students who had obtained Grade A in Science could apply for a scholarship. Only 1 out of every 5 students who applied for a scholarship got it. If the ratio of the number of students who got the scholarship to the number of students who did not get the scholarship is not more than 1:9, what is the maximum possible number of students who applied for but did not get the scholarship? Assume that all the students who were eligible for the scholarship applied for it.

(A) 6
(B) 12
(C) 24
(D) 30
(E) 54

Let's say the ratio of those who got the scholarship to those who didn't get it was exactly 1:9

Scholarship recipients: x
Non-recipients: 9x
Total: 10x

If 10x = 60, x = 6.

Now:
Scholarship recipients: 6
Non-recipients: 54

We know that only 1 of every five who applied, received the scholarship. If 6 received, there must have been 6*5 = 30 who applied. Meaning 24 didn't receive a scholarship.
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by j_shreyans » Tue May 19, 2015 7:50 am
Hi ,

I got my answer 24.

I did 6*4=24, because 1 out of every 5 student receive the scholarship so remaining 4 don't get scholarship.

Please advise and correct me if I am wrong.

Thanks,

Shreyans
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by DavidG@VeritasPrep » Tue May 19, 2015 9:53 am
Yep, so long as you've calculated that having 6 scholarship recipients will allow you to maximize the number who apply and get rejected, that's perfectly valid. Nicely done :)
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