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01 Jul 2026, 19:00
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
40% (02:00) correct
60%
(02:36)
wrong
based on 130
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A training program gave a final exam to all participants. Each participant was either an intern or a full-time employee. Was the percentage of interns who passed the exam greater than the percentage of all participants who passed the exam?
(1) The percentage of full-time employees who passed the exam was greater than the percentage of all participants who passed the exam.
(2) Less than 2/5 of all participants who passed the exam were interns, and less than 3/5 of all participants who failed the exam were full-time employees.
(1) The percentage of full-time employees who passed the exam was greater than the percentage of all participants who passed the exam.
(2) Less than 2/5 of all participants who passed the exam were interns, and less than 3/5 of all participants who failed the exam were full-time employees.
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M47-223
05 Jul 2026, 08:15
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GMAT Club Official Solution:
A training program gave a final exam to all participants. Each participant was either an intern or a full-time employee. Was the percentage of interns who passed the exam greater than the percentage of all participants who passed the exam?
(1) The percentage of full-time employees who passed the exam was greater than the percentage of all participants who passed the exam.
The overall passing percentage is between the interns’ passing percentage and the full-time employees’ passing percentage.
Since the full-time employees’ passing percentage is greater than the overall passing percentage, the interns’ passing percentage must be less than the overall passing percentage.
So the answer is NO.
Sufficient.
(2) Less than 2/5 of all participants who passed the exam were interns, and less than 3/5 of all participants who failed the exam were full-time employees.
Use this clearer version:
(2) Less than 2/5 of all participants who passed the exam were interns, and less than 3/5 of all participants who failed the exam were full-time employees.
Less than 2/5 of those who passed were interns. In other words, less than 40% of the passing group were interns, so more than 60% of the passing group were full-time employees.
Less than 3/5 of those who failed were full-time employees. In other words, less than 60% of the failing group were full-time employees, so more than 40% of the failing group were interns.
So interns were a smaller percentage of the passing group and a larger percentage of the failing group.
If interns and full-time employees had the same passing percentage, the intern-to-employee mix would be the same among passers and failures. But it is not: interns show up less among passers and more among failures. Therefore, interns had a lower passing percentage than full-time employees.
The overall passing percentage is between the interns’ passing percentage and the full-time employees’ passing percentage. So the interns’ passing percentage is lower than the overall passing percentage.
The answer is NO.
Sufficient.
Answer: D.
A training program gave a final exam to all participants. Each participant was either an intern or a full-time employee. Was the percentage of interns who passed the exam greater than the percentage of all participants who passed the exam?
(1) The percentage of full-time employees who passed the exam was greater than the percentage of all participants who passed the exam.
The overall passing percentage is between the interns’ passing percentage and the full-time employees’ passing percentage.
Since the full-time employees’ passing percentage is greater than the overall passing percentage, the interns’ passing percentage must be less than the overall passing percentage.
So the answer is NO.
Sufficient.
(2) Less than 2/5 of all participants who passed the exam were interns, and less than 3/5 of all participants who failed the exam were full-time employees.
Use this clearer version:
(2) Less than 2/5 of all participants who passed the exam were interns, and less than 3/5 of all participants who failed the exam were full-time employees.
Less than 2/5 of those who passed were interns. In other words, less than 40% of the passing group were interns, so more than 60% of the passing group were full-time employees.
Less than 3/5 of those who failed were full-time employees. In other words, less than 60% of the failing group were full-time employees, so more than 40% of the failing group were interns.
So interns were a smaller percentage of the passing group and a larger percentage of the failing group.
If interns and full-time employees had the same passing percentage, the intern-to-employee mix would be the same among passers and failures. But it is not: interns show up less among passers and more among failures. Therefore, interns had a lower passing percentage than full-time employees.
The overall passing percentage is between the interns’ passing percentage and the full-time employees’ passing percentage. So the interns’ passing percentage is lower than the overall passing percentage.
The answer is NO.
Sufficient.
Answer: D.
General Discussion
01 Jul 2026, 23:20
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Let Interns = I, Full-time = F
Pass rates: r*I, r*F, overall = r
Need: Is r*I > r?
(1) Given: r*F > r.
Overall rate is a weighted average of r*I and r*F.
If r*F > r, then necessarily r*I < r.
Answer to the question is always No.
Sufficient.
(2) Among those who passed: interns < 2/5. Among those who failed: full-time < 3/5 ⇒ interns > 2/5 of failures.
These give counts, not pass rates.
Possible that r*I > r or r*I < r.
Not sufficient.
Answer: A
Pass rates: r*I, r*F, overall = r
Need: Is r*I > r?
(1) Given: r*F > r.
Overall rate is a weighted average of r*I and r*F.
If r*F > r, then necessarily r*I < r.
Answer to the question is always No.
Sufficient.
(2) Among those who passed: interns < 2/5. Among those who failed: full-time < 3/5 ⇒ interns > 2/5 of failures.
These give counts, not pass rates.
Possible that r*I > r or r*I < r.
Not sufficient.
Answer: A
