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Logic Puzzle # 135 Logic Problems Help



Logic Problem Solution:
Yeas and Nays

From the introduction, the four votes taken by the Carroll County Council ended in four different yea-nay results--i.e., 3-0, 2-1, 1-2, and 0-3 for yeas and nays in some order. By clue 1, Council member Carter voted no on bill 1, to sell 25 acres of county land to a mall developer, and no on bill 2, to send a county trade delegation to the People's Republic of China. Nixon cast a nay on bill 2 (2). By clue 3, Ford voted for bill 3, to buy a new computer system for the Carroll County Emergency Services, and for bill 4, to build a new cloverleaf at the intersection of Rtes. 32 and 140. By clue 2, Carter and Nixon agreed on bill 4 about the cloverleaf. If Carter and Nixon had voted against the Rtes. 32 and 140 intersection, and Carter had therefore disagreed with Ford, by clue 4, Carter and Ford would have agreed on the other three bills, with Ford then voting nay on bills 1 and 2. In order for the votes to have ended in four different tallies, Nixon would have had to vote yea on bill 1; however, he and Ford then would have disagreed on bills 1 and 4, contradicting clue 5. So, Carter and Nixon voted yes on the cloverleaf bill, which passed unanimously. If Carter and Ford's one disagreement (4) had been over bill 1, selling the county land, Carter would have voted yea on bill 3, which Nixon then would have voted against, or there would have been two 3-0 votes. But by clue 5, then, Nixon would have had to agree with Ford on bill 1--resulting in two 2-1 votes. If Carter and Ford had disagreed on bill 2 over sending a trade group to China, Ford's yes vote would have been the sole disagreement with Nixon (5). But Carter and Nixon would have had to vote yes on the computer system, resulting in a second 3-0 vote. Therefore, Carter cast a no vote on bill 3 and Ford voted nay on bills 1 and 2. In order to get four different votes, Nixon voted for bills 1 and 3, and his only disagreement with Ford was over selling the 25 acres. The four votes in yesterday's Carroll County Council session were decided as follows:

Bill 1, selling 25 acres of county land
Bill 2, sending a trade delegation to the PRC
Bill 3, buying a new computer Emergency system
Bill 4, building a new intersection

  • Carter .. 1-Nay, 2-Nay, 3-Nay, 4-Yea
  • Ford .... 1-Nay, 2-Nay, 3-Yea, 4-Yea
  • Nixon ... 1-Yea, 2-Nay, 3-Yea, 4-Yea



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