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24 Jan 2017, 09:52
Kudos
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
86% (01:52) correct
14%
(01:55)
wrong
based on 139
sessions
History
Date
Time
Result
Not Attempted Yet
At a particular university with 200 students 30% only receive loans and 40% only receive scholarships. What percent of the students receive neither scholarships nor loans?
(1) At least 5% of the students do not receive loans.
(2) More than 15% of the students receive both loans and scholarships.
(1) At least 5% of the students do not receive loans.
(2) More than 15% of the students receive both loans and scholarships.
05 Mar 2017, 13:12
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Original information:
Statement (1):
This statement gives you no new information. You already know that there are more than 10 students who get loans, because you know there are 80 students who get no loans (and do get scholarships). Since it gives you no new info, it's insufficient.
Statement (2):
This statement gives you a lot of information, but it still doesn't let you solve the problem. We know that there are at least 30 people in the top left. So, there are at least 110 scholarship recipients, and at least 90 loan recipients. That means there are no more than 90 people without scholarships, and no more than 110 people without loans, in total. Both of those facts tell you there are at most 30 people who get neither. However, you don't know if there are 30 or 0 or anything in between.
(1+2)
Since you get no new info from Statement 1, and statement 2 is insufficient, 1+2 are insufficient together.
Statement (1):
This statement gives you no new information. You already know that there are more than 10 students who get loans, because you know there are 80 students who get no loans (and do get scholarships). Since it gives you no new info, it's insufficient.
Statement (2):
This statement gives you a lot of information, but it still doesn't let you solve the problem. We know that there are at least 30 people in the top left. So, there are at least 110 scholarship recipients, and at least 90 loan recipients. That means there are no more than 90 people without scholarships, and no more than 110 people without loans, in total. Both of those facts tell you there are at most 30 people who get neither. However, you don't know if there are 30 or 0 or anything in between.
(1+2)
Since you get no new info from Statement 1, and statement 2 is insufficient, 1+2 are insufficient together.
21 Aug 2025, 09:16
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Automated notice from GMAT Club BumpBot:
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
