If, in a tennis tournament, a match reaches a fifth-set tiebreak, the lower-ranked player always loses the tiebreak (and, therefore, the match). If Rafael, the second-ranked player, wins a tournament by beating Roger, the top-ranked player, then the match must not have included a fifth-set tiebreak.
Which of the following arguments most closely mimics the reasoning used in the above argument?
a. If a woman with a family history of twins gets pregnant three times, she will have one set of twins. Jennifer, who falls into this category, had two sets of twins, so she must not have gotten pregnant exactly three times.
b. If a salesman sells more product than anyone else in a calendar year, then he will earn an all-expenses-paid vacation. Joe earned an all-expense-paid vacation, so he must have sold more product than anyone else for the year.
c. A newspaper can charge a 50% premium for ads if its circulation surpasses 100,000; if the circulation does not pass 100,000, therefore, the newspaper can't charge any kind of premium for ads.
d. If a student is in the top 10% of her class, she will earn a college scholarship. Anna is not in the top 10% of her class, so she will not earn a scholarship.
e. All of the players on a football team receive a cash bonus if the team wins the Super Bowl. If quarterback Tom Brady earned a cash bonus last year, he must have been a member of the winning Super Bowl team.
Rafael vs. Roger
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If, in a tennis tournament, a match reaches a fifth-set tiebreak, (A) the lower-ranked player always loses the tiebreak (B) (and, therefore, the match). If Rafael, the second-ranked player, wins a tournament by beating Roger, (Not B) the top-ranked player, then the match must not have included a fifth-set tiebreak. (Not A)Feruza Matyakubova wrote:If, in a tennis tournament, a match reaches a fifth-set tiebreak, the lower-ranked player always loses the tiebreak (and, therefore, the match). If Rafael, the second-ranked player, wins a tournament by beating Roger, the top-ranked player, then the match must not have included a fifth-set tiebreak.
Which of the following arguments most closely mimics the reasoning used in the above argument?
a. If a woman with a family history of twins gets pregnant three times, she will have one set of twins. Jennifer, who falls into this category, had two sets of twins, so she must not have gotten pregnant exactly three times.
b. If a salesman sells more product than anyone else in a calendar year, then he will earn an all-expenses-paid vacation. Joe earned an all-expense-paid vacation, so he must have sold more product than anyone else for the year.
c. A newspaper can charge a 50% premium for ads if its circulation surpasses 100,000; if the circulation does not pass 100,000, therefore, the newspaper can't charge any kind of premium for ads.
d. If a student is in the top 10% of her class, she will earn a college scholarship. Anna is not in the top 10% of her class, so she will not earn a scholarship.
e. All of the players on a football team receive a cash bonus if the team wins the Super Bowl. If quarterback Tom Brady earned a cash bonus last year, he must have been a member of the winning Super Bowl team.
If A then B
Not B, therefore Not A
.If a woman with a family history of twins gets pregnant three times, (A) she will have one set of twins (B). Jennifer, who falls into this category, had two sets of twins, (Not B) so she must not have gotten pregnant exactly three times ( Not A)
Correct answer is A
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I think the answer is A.
If A is true, then B is true. If B is false, then A must be false.
a. If a woman with a family history of twins gets pregnant three times, she will have one set of twins. Jennifer, who falls into this category, had two sets of twins, so she must not have gotten pregnant exactly three times.
A = woman with family history of twins gets pregnant 3x
B = have one set of twins
Follows same pattern as original
b. If a salesman sells more product than anyone else in a calendar year, then he will earn an all-expenses-paid vacation. Joe earned an all-expense-paid vacation, so he must have sold more product than anyone else for the year.
A = salesman sells more products than anyone else in a calendar year
B = earn all-expenses-paid vacation
This scenario shows
If A is true, then B is true
B is true therefore A must be true
If A is true, then B is true. If B is false, then A must be false.
a. If a woman with a family history of twins gets pregnant three times, she will have one set of twins. Jennifer, who falls into this category, had two sets of twins, so she must not have gotten pregnant exactly three times.
A = woman with family history of twins gets pregnant 3x
B = have one set of twins
Follows same pattern as original
b. If a salesman sells more product than anyone else in a calendar year, then he will earn an all-expenses-paid vacation. Joe earned an all-expense-paid vacation, so he must have sold more product than anyone else for the year.
A = salesman sells more products than anyone else in a calendar year
B = earn all-expenses-paid vacation
This scenario shows
If A is true, then B is true
B is true therefore A must be true
- rahulg83
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Answer should be A..
argument says like this...If A -> then B
therefore if not B -> then not A
we have to fine answer which is similar to this analogy..n that's A
argument says like this...If A -> then B
therefore if not B -> then not A
we have to fine answer which is similar to this analogy..n that's A
- mharv
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Feruza,
You are testing my powers of Causation and I am not getting far eliminating any of the answers.
Pregnant Lady vs. Salesman vs. Newspaper vs. Student vs. Sportsman
Please help.
You are testing my powers of Causation and I am not getting far eliminating any of the answers.
Pregnant Lady vs. Salesman vs. Newspaper vs. Student vs. Sportsman
Please help.
Regards,
Arvind
Arvind
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