Math
6 students in a group study different languages as specified:
Russian: 4
Ukrainian: 3
Hebrew: 2
Each student studies at least 1 language. If it is also known that exactly 3 students study exactly 2 languages, how many students are studying all three languages?
A. 0
B. 1
C. 2
D. 3
E. 4
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Verbal
62% of the registered voters in state W declared themselves Democrats. Despite this, for the past 3 elections, the citizens of state W have voted a Republican into the office as governor.
Which of the following if true,could best explain this apparent incongruity in the results of the past 3 elections in state W?
A) Approximately 78% of the rural residents of state W declared themselves republicans, as compared with 38% of the urban residents.
B) State elections consist of a primary election in which voters must vote for a candidate matching their declared party followed by a general election in which voters can vote for a candidate of any party.
C) Over the past 5 elections, the percentage of declared republicans who voted was significantly higher than the percentage of declared democrats who voted.
D) Voters must declare a party of preference more than thirty days before the state' primary election, and voters with no declared preference are ineligible to vote in the primary.
E) The state's last democratic governor was initially very popular but lost his bid for re-election after the state's economy suffered a severe recession.
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