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  3. [img]2011q3/ct_egmatqm_egmatqchoose_0280_20112[/img] A newspaper polled 1,000

[img]2011q3/ct_egmatqm_egmatqchoose_0280_20112[/img] A newspaper polled 1,000

游客2024-01-14  19
问题
   A newspaper polled 1,000 likely voters about which of the following issues, if any, played an important role in their decision-making process for an upcoming election: education, crime, and/or taxes. Of the voters surveyed, a total of 495 named education, 490 named crime, and 440 named taxes. In the figure above, the overlapping areas between two circles represent the people who named only those two items; the overlapping area between the three circles represents those people who named all three issues.  [br] How many of the 1,000 people polled responded "none of the above" to the questions?
选项 A、140
B、110
C、80
D、20
E、0
答案 B
解析 To determine this answer, you need to group all of the respondents so that they appear in only one group; i.e., you need to determine how many people named crime, education, or taxes only, then add those numbers to the numbers of people who named two or three issues, and then subtract the sum from 1,000. Crime only=490-(60+125+140)=165; education only=495-(60+125+85)=225; taxes only=440-(85+125+140)=90. Add up the totals: 165+225+90+60+140+85+125=890.1,000-890=110.
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