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Joined: 26 May 2019
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GMAT 1: 650 Q46 V34 
WE:Consulting (Consulting)
Re: In a group of 250 adults, is the number of married (not necessarily to
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21 Feb 2021, 01:18
(1) At least 65 percent of the men in the group are married.
(2) At least 30 percent of the women in the group are married.
Statement 1 - Not sufficient
If Men are 20 out of 250, married number = 13
Women would be 230, assume married % is 10, married women = 23
Total married = 36
If married % of women is higher, say 50%, total married is in excess of 75.
So, we have both the possibilities. Eliminate A and D
Statement 2 - Not sufficient
Women have 30% married.
Assume women number = 250, Total married = 75. Answer to Q in stem is YES
Assume women number = 100, total married = 30; Men =150. Married % of men could be anything from 0 to 100. So answer to q in stem in could be NO.
Eliminate B.
Remaining choices C and E.
Lets combine the two statements.
Women have 30% married. If women = 250, married = 75
Start replacing women with men and we'll have the following addition to married population (0.65 - 0.3) since men have more % married. Since replacement causes a net addition, therefore, combining the two statements will always yield a YES to the question in stem.
C is sufficient.
Wome