[問題] GWD 18-15

[cimim]

Q15:
Fact: Asthma, a bronchial condition, is much less common ailment than hay fever, an allergic inflammation of the nasal passages.

Fact: Over 95 percent of people who have asthma also suffer from hay fever.

If the information given as facts above is true, which of the following must also be true?

A. Hay fever is a prerequisite for the development of asthma.
B. Asthma is a prerequisite for the development of hay fever.
C. Those who have neither hay fever nor asthma comprise less than 5 percent of the total population.
D. The number of people who have both of these ailments is greater than the number of people who have only one of them.
E. The percentage of people suffering from hay fever who also have asthma is lower than 95 percent.


答案E why???????????

[維尼]

Q15:
Fact: Asthma, a bronchial condition, is much less common ailment than hay fever, an allergic inflammation of the nasal passages.

Fact: Over 95 percent of people who have asthma also suffer from hay fever.

If the information given as facts above is true, which of the following must also be true?

A. Hay fever is a prerequisite for the development of asthma.
B. Asthma is a prerequisite for the development of hay fever.
C. Those who have neither hay fever nor asthma comprise less than 5 percent of the total population.
D. The number of people who have both of these ailments is greater than the number of people who have only one of them.
E. The percentage of people suffering from hay fever who also have asthma is lower than 95 percent.


答案E why???????????

E有點迂迴而且我覺得不是很嚴謹 不過是可以接受的
直觀去想
有A的人有超過95%會有HF
而且A比HF少見很多
所以
A&HF / A = over 95%
而有HF的人會比有A的人多很多
A&HF / HF 應該就會是約少於 95%

[cimim]

恩 我了解了
謝謝~

[lunar916]

Q15:
Fact: Asthma, a bronchial condition, is much less common ailment than hay fever, an allergic inflammation of the nasal passages.

Fact: Over 95 percent of people who have asthma also suffer from hay fever.

If the information given as facts above is true, which of the following must also be true?

A. Hay fever is a prerequisite for the development of asthma.
B. Asthma is a prerequisite for the development of hay fever.
C. Those who have neither hay fever nor asthma comprise less than 5 percent of the total population.
D. The number of people who have both of these ailments is greater than the number of people who have only one of them.
E. The percentage of people suffering from hay fever who also have asthma is lower than 95 percent.


答案E why???????????

E有點迂迴而且我覺得不是很嚴謹 不過是可以接受的
直觀去想
有A的人有超過95%會有HF
而且A比HF少見很多
所以
A&HF / A = over 95%
而有HF的人會比有A的人多很多
A&HF / HF 應該就會是約少於 95%

我想問的是,E的95%是什麼的95%?
看樣子是有HF的人的95%,但從哪裡看出來?
我選的時候覺得其他的都不太對,可是這一點我也不能確定

[stilalala]

Q15:
Fact: Asthma, a bronchial condition, is much less common ailment than hay fever, an allergic inflammation of the nasal passages.

Fact: Over 95 percent of people who have asthma also suffer from hay fever.

If the information given as facts above is true, which of the following must also be true?

A. Hay fever is a prerequisite for the development of asthma.
B. Asthma is a prerequisite for the development of hay fever.
C. Those who have neither hay fever nor asthma comprise less than 5 percent of the total population.
D. The number of people who have both of these ailments is greater than the number of people who have only one of them.
E. The percentage of people suffering from hay fever who also have asthma is lower than 95 percent.


答案E why???????????

E有點迂迴而且我覺得不是很嚴謹 不過是可以接受的
直觀去想
有A的人有超過95%會有HF
而且A比HF少見很多
所以
A&HF / A = over 95%
而有HF的人會比有A的人多很多
A&HF / HF 應該就會是約少於 95%

我想問的是,E的95%是什麼的95%?
看樣子是有HF的人的95%,但從哪裡看出來?
我選的時候覺得其他的都不太對,可是這一點我也不能確定

E. The percentage of people suffering from hay fever who also have asthma is lower than 95 percent.

有得hay fever的人中,也有得asthma的人佔得hey fever的人的百分比

很像數學的范氏圖
畫兩個圈圈,一個是hey fever, 一個是 asthma 中間相交的部份就是兩者都得的
假設相交的部份是x ,x=(>)0.95 asthma , 但asthma <hey fever
所以x =<0.95 hey fever

[rola1225]

我讀的意思是 總人口的95%，題目並沒說是
有得hay fever的人中,也有得asthma的人佔得hey fever的人的百分比
怎麼辨 ??

[維尼]

我讀的意思是 總人口的95%，題目並沒說是
有得hay fever的人中,也有得asthma的人佔得hey fever的人的百分比
怎麼辨 ??

Well, then it is just a matter of reading....

Over 95 percent of people ( who have asthma ) also suffer from hay fever.

超過95%有 asthma 的人 也有 hay fever

[A級垂耳兔]

這題真的很盧...我快被盧爆了~~~
答案E說有氣喘又有花粉熱的人低於有花粉熱總人數的95%...
前提1:花粉熱的人大於氣喘人
前提2:超過95%有氣喘的人...也有花粉熱

假設有氣喘共100人..96人有氣喘也有花粉熱...有花粉熱共110人..不違背前提下...答案E的狀況當然是可以成立...但是~~
假設有氣喘共100人..99人有氣喘也有花粉熱...有花粉熱共101人..同樣不違背前提...但是就weaken答案E...

現在問題變成~~~問句:which is the following must be true?
問的是一個不能被weaken的真理?
還是一個只要符合前提的狀況?(和同學討論是採這個說法)
有人有高見嗎?

[Kal-El]

原因是在第一個fact中的much上
Fact: Asthma, a bronchial condition, is "much" less common ailment than hay fever, an allergic inflammation of the nasal passages.

醬ok～^^

[gan4sula]

這題真的很盧...我快被盧爆了~~~
答案E說有氣喘又有花粉熱的人低於有花粉熱總人數的95%...
前提1:花粉熱的人大於氣喘人
前提2:超過95%有氣喘的人...也有花粉熱

假設有氣喘共100人..96人有氣喘也有花粉熱...有花粉熱共110人..不違背前提下...答案E的狀況當然是可以成立...但是~~
假設有氣喘共100人..99人有氣喘也有花粉熱...有花粉熱共101人..同樣不違背前提...但是就weaken答案E...

現在問題變成~~~問句:which is the following must be true?
問的是一個不能被weaken的真理?
還是一個只要符合前提的狀況?(和同學討論是採這個說法)
有人有高見嗎?

0.95A/A vs. 0.95A/HF ----- since HF >A, 0.95A/A > 0.95A/HF
夠清楚了吧