Test Bank For Excursions in Modern Mathematics 9th Edition By Peter Tannenbaum (All Chapters, 100% Original Verified, A+ Grade)

Excursions in Modern Mathematics 9e Peter Tannenbaum (Test Bank
All Chapters, 100% Original Verified, A+ Grade) Answers At The End
Of Each Chapter
CH 1
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the
question.
For an election with four candidates (A, B, C, and D) we have the following preference schedule:

Number of voters 15 11 9 6 2
1st choice A C D B C
2nd choice B B C D D
3rd choice C D B C B
4th choice D A A A A

1) In this election, 1)
A) C is a Condorcet candidate.
B) D is a Condorcet candidate.
C) every candidate is a Condorcet candidate.
D) there is no Condorcet candidate.
none of these


For an election with 4 candidates (A, B, C, and D) we have the following preference schedule:

E) Number of Voters 27 19 8 15 2
1st Choice B A D C A
2nd Choice D D C A C
3rd Choice A C A D D
4th Choice C B B B B

2) Using the plurality ranking method, which candidate comes in last? 2)
A) A
B) B
C) C
D) D
E) none of these




1

,For an election with four candidates (A, B, C, and D) we have the following preference schedule:

Number of voters 15 11 9 6 2
1st choice A C D B C
2nd choice B B C D D
3rd choice C D B C B
4th choice D A A A A

3) The ranking of the candidates using the Borda count method is 3)
A) first: B; second: C; third: D; fourth: A.
B) first: B; second: A; third: C; fourth: D.
C) first: B; second: C; third: A; fourth: D.
D) first: C; second: A; third: D; fourth: B.
E) none of these

Solve the problem.
4) An election is held among four candidates (A, B, C, and D). Using a voting method we will call X, 4)
the winner of the election is candidate A. However, candidate D has more than 50% of the
possible votes. Based on this information, we can say that voting method X violates the
A) majority criterion.
B) Condorcet criterion.
C) independence of irrelevant alternatives criterion.
D) monotonicity criterion.
E) none of these

For an election with four candidates (A, B, C, and D) we have the following preference schedule:

Number of Voters 6 3 5 8
1st choice D D A C
2nd choice B A C A
3rd choice A B B D
4th choice C C D B

5) The ranking of the candidates using the plurality method is 5)
A) first: D; second: A; third: C; fourth: B.
B) first: D; second: C; third: A; fourth: B.
C) first: D; second: A; third: B; fourth: C.
D) first: C; second: D; third: A; fourth: B.
E) none of these




2

,Solve the problem.
6) Consider an election with 456 voters and seven candidates. What is the smallest number of votes 6)
that a plurality candidate could have?
A) 66
B) 229
C) 228
D) 65
E) none of these

For an election with four candidates (A, B, C, and D) we have the following preference schedule:

Number of Voters 6 3 5 8
1st choice D D A C
2nd choice B A C A
3rd choice A B B D
4th choice C C D B

7) Using the Borda count method, which candidate wins the election? 7)
A) A B) B C) C D) D

For an election with four candidates (A, B, C, and D) we have the following preference schedule:

Number of voters 15 11 9 6 2
1st choice A C D B C
2nd choice B B C D D
3rd choice C D B C B
4th choice D A A A A

8) How many Borda points does candidate D earn in this election? 8)
A) 88
B) 124
C) 97
D) 121
E) none of these




3

, For an election with 4 candidates (A, B, C, and D) we have the following preference schedule:

Number of Voters 27 19 8 15 2
1st Choice B A D C A
2nd Choice D D C A C
3rd Choice A C A D D
4th Choice C B B B B

9) Using the pairwise comparison ranking method, which candidate comes in third? 9)
A) A
B) B
C) C
D) D
E) none of these

10) Using the method of pairwise comparisons, the winner of the election is 10)
A) A.
B) B.
C) C.
D) D.
E) none of these




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