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30 May 2025, 00:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
86% (01:53) correct
14%
(01:29)
wrong
based on 49
sessions
History
Date
Time
Result
Not Attempted Yet
A university has 2,000 faculty members all of whom have a masters degree, and some of whom also have a doctorate. 35 percent of the faculty members are female. What fraction of the faculty members are female doctorate holders?
(1) 20 percent of the male faculty members have a doctorate.
(2) A total of 1140 faculty members have only a masters degree.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
(1) 20 percent of the male faculty members have a doctorate.
(2) A total of 1140 faculty members have only a masters degree.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
30 May 2025, 03:00
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1st statement:
________Doc__|_non doc_|_total
Male___|_20%_|_________|
Female_|_____|_________|35%
Total__|_____|_________|
With this info we can't find no of female doc holders
Hence insufficient
2nd statement :
________Doc__|_non doc_|_total
Male___|_____|_________|
Female_|_____|_________|35%
Total__|_860_|___1140__|
With this info we can't find no of female doc holders
Hence insufficient
Combining both information
________Doc__|_non doc_|_total
Male___|_20%_|_________|
Female_|_____|_________|35%
Total__|_860_|__1140___|
Only unknown is female doc % which can be calculated and is sufficient
Hence answer is C
Please give kudos if you like the explanation!
________Doc__|_non doc_|_total
Male___|_20%_|_________|
Female_|_____|_________|35%
Total__|_____|_________|
With this info we can't find no of female doc holders
Hence insufficient
2nd statement :
________Doc__|_non doc_|_total
Male___|_____|_________|
Female_|_____|_________|35%
Total__|_860_|___1140__|
With this info we can't find no of female doc holders
Hence insufficient
Combining both information
________Doc__|_non doc_|_total
Male___|_20%_|_________|
Female_|_____|_________|35%
Total__|_860_|__1140___|
Only unknown is female doc % which can be calculated and is sufficient
Hence answer is C
Please give kudos if you like the explanation!
31 May 2025, 11:38
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S1
We need Total Doctorate to identify faculty members are female doctorate holders
Insufficient
S2
We need Male with or without Doctorate to identify faculty members are female doctorate holders
Insufficient
Together, we have both the information and can calculate faculty members are female doctorate holders
Answer C
| D | Not D(only masters) | T | |
| F | ? | 700 | |
| M | =260 | 1300 | |
| T | 2000 |
Insufficient
S2
| D | Not D(only masters) | T | |
| F | ? | 700 | |
| M | 1300 | ||
| T | 860 | 1140 | 2000 |
Insufficient
Together, we have both the information and can calculate faculty members are female doctorate holders
Answer C
Bunuel
