Hi All,
This is an example of an Overlapping Sets question. The math behind it is fairly straightforward, but you will have to take thorough notes and answer the SPECIFIC question that is asked (which is NOT a standard question in these situations). The Tic-Tac-Toe board is a great way to keep track of the information (as Bunuel shows) and is arguably THE approach that you should use on most Overlapping Sets questions. This particular prompt focuses on information that we need to use the Overlapping Sets Formula though:
Total = GroupA + GroupB - Both + Neither
So here's how this approach can be applied....
We're told a number of facts (take notes and write down your deductions!):
At a company:
1) 46% percent of employees are men (thus, 54% are women)
2) 60% of employees are unionized (thus, 40% are NOT unionized)
3) 70% of the UNIONIZED are men. This means....
A) 70%(60%) = 42% of EMPLOYEES are UNIONIZED MEN
We're asked what percent of NON-UNIONIZED workers are WOMEN
Using the Overlapping Sets Formula....
GroupA = Men
GroupB = Unionized
Both = Men & Unionized
Neither = Women & Non-unionized
Total = GroupA + GroupB - Both + Neither
100% = 46% + 60% - 42% + Neither
100% = 64% + Neither
36% = Neither
This tells us that 36% of EMPLOYEES are NON-UNIONIZED WOMEN.
This is NOT the answer to the question though. The question asks what percent of NON-UNIONIZED workers are WOMEN.
Non-unionized women = 36% of EMPLOYEES
Non-unionized workers = 40% of EMPLOYEES
36%/40% = 36/40 = 9/10 = 90%
Final Answer:
GMAT assassins aren't born, they're made,
Rich
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