Hi All,
This question involves some subtle Number Property rules that you have to consider to get the correct answer. Those rules, along with TESTing VALUES, can help you to quickly answer the question...
We're told that 25% of the women and 17% of the men participate in the voluntary equity program.
This means that 1/4 of the women participate in the program, which means that the total number of women MUST be a multiple of 4 (you can't have a 'fraction' of a woman, so no other possibilities exist). With 17% of men though, we have an interesting 'limitation': the only way to get an integer number of men is when we multiply by a multiple of 100, so the total number of men MUST be a multiple of 100. These deductions will help you to work through the two Facts much faster....
We're also told that there are 600 total employees. We're asked for the number of male employees.
Fact 1: The number of male employee is > 100
IF....
Males = 200 (a multiple of 100)
Females = 400 (a multiple of 4)
The answer to the question is 200
IF....
Males = 300 (a multiple of 100)
Females = 300 (a multiple of 4)
The answer to the question is 300
Fact 1 is INSUFFICIENT
Fact 2: More than 130 employees participate in the voluntary equity program
IF....
Males = 200 (a multiple of 100)
Females = 400 (a multiple of 4)
.17(200) + .25(400) = 34 + 100 = 134
The answer to the question is 200
IF....
Males = 100 (a multiple of 100)
Females = 500 (a multiple of 4)
.17(100) + .25(500) = 17 + 125 = 142
The answer to the question is 100
Fact 2 is INSUFFICIENT
Combined, we know....
The number of males is > 100
More than 130 employees participate in the voluntary equity program
From our prior work, we can take advantage of a pattern....
Total males COULD be 200, but CANNOT be 100
IF....
Males = 300 (a multiple of 100)
Females = 300 (a multiple of 4)
.17(300) + .25(300) = 126 which does NOT fit the given 'restrictions'
Thus, the total number of males CANNOT be 300 or greater.
The only answer that "fits" is Males = 200
Combined, SUFFICIENT
Final Answer:
GMAT assassins aren't born, they're made,
Rich
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