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16 Sep 2015, 07:23
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
54% (02:20) correct
46%
(02:26)
wrong
based on 670
sessions
History
Date
Time
Result
Not Attempted Yet
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.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
(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.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
16 Sep 2015, 11:28
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Bunuel
Question : Students with Academic Scholarship=?
Statement 1: More students do not have a scholarship than have a scholarship.
No. of students that don't have Scholarship program >(47/2)
i.e. No. of students that don't have Scholarship program >(23)
There is no unique value obtained. Hence,
NOT SUFFICIENT
Statement 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
Students with Higher GPA and with Scholarship = Students with none of the two
Check the Image attached,
SUFFICIENT
Answer: option B
Attachments
File comment: www.GMATinsight.com
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General Discussion
20 Sep 2015, 22:16
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Bunuel
VERITAS PREP OFFICIAL SOLUTION:
From the question-stem, we know 33 students have a high GPA, while 14 do not. We need more information about which of these students have scholarships to be able to answer this value question. Statement (1) is insufficient because it does not give us information to find the exact numerical value of the students receiving some form of scholarship.
Statement (2) tells us that the number of students who fit “both” is equal to the number of students who fit “neither.” Let’s set up a chart to visualize the four possible categories for the students. Since “both” = “neither,” let’s fill in “x” for those boxes.
Since each column and row must total, if there are “x” students receiving no scholarship and not a higher GPA, and the total students who don’t have a higher GPA is 14, then 14-x students must not have a higher GPA and have a scholarship. The total we are looking for is represented by the red “?,” and we can set up an equation to solve: x + (14 – x) = 14. Sufficient.
The correct response is (B).
Attachment:
VK1.jpg [ 11.79 KiB | Viewed 6606 times ]
