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33 out of the 47 students in an advanced degree program have

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33 out of the 47 students in an advanced degree program have

by BTGmoderatorDC » Mon Dec 24, 2018 7:11 pm

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33 out of the 47 students in an advanced degree program have a higher than average GPA. How many students in the program are receiving some form of academic scholarship?

(1) More students do not have a scholarship than have a scholarship.
(2) The same number of students have a higher than average GPA and are receiving some form of academic scholarship as have neither a higher than average GPA nor an academic scholarship.

OA B

Source: Veritas Prep
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Source: — Data Sufficiency |
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by deloitte247 » Sat Dec 29, 2018 2:42 am

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How many students in the program are receiving some form of academic scholarship.

Total students = 47
Students with high GPA = 33
Students with low GPA =47-13 = 14
Students with scholarship = ??

Statement 1
More Students do not have a scholarship than have a scholarship
This means students with scholarship is > students without scholarship, this doesn't provide any information relating to students receiving scholarship, hence statement 1 is INSUFFICIENT.

Statement 2
The same numbers of student have higher than average GPA and are receiving same form of academic scholarship has have neither a higher than average GPA nor an academic scholarship.

This means that number of students with high GPA and receiving scholarship is equal to number of students with low GPA and not receiving scholarship
Since student with low GPA = 14
Student with low GPA and having scholarship = 14 - x
Total students receiving scholarship
$$=\left(14-x\right)+x$$
$$=14-x+x$$
$$=14$$
Statement 2 alone is SUFFICIENT.

$$answer\ is\ option\ B$$
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