People were asked three questions: Do you support the president's economic policy? Do you support the president's foreign policy? Do you support the president's social policy? Let E, F, and S denote the sets of persons responding yes to the first, second, and third questions, respectively. The results of the survey are shown in the Venn diagram below. The numbers represent the percent of respondents. What percent of people agree with the president's social policy?
A) 58 %
B) 34 %
C) 49 %
D) 20 %
E) 16 %

Question

People were asked three questions: Do you support the president's economic policy? Do you support the president's foreign policy? Do you support the president's social policy? Let E, F, and S denote the sets of persons responding yes to the first, second, and third questions, respectively. The results of the survey are shown in the Venn diagram below. The numbers represent the percent of respondents.  What percent of people agree with the president's social policy?
A) 58 % 
B) 34 % 
C) 49 % 
D) 20 % 
E) 16 %

Quizplus · Accepted Answer

According to the Venn diagram, the only region that represents people who support only the president's social policy is the intersection of S and (E' ∩ F'), which is 34%. Therefore, the answer is B.

People Were Asked Three Questions: Do You Support the President's