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Fact: Asthma, a bronchial condition, is much less common

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Re: Fact: Asthma, a bronchial condition, is much less common [#permalink]

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New post 26 Apr 2016, 00:26
Has to be E.

We are given that 95% of Asthmatic ppl have hay fever and ppl with Asthma are much less than ppl with HF.

So if there 100 ppl with Asthma then there must be >100 ppl with HF. So %ppl with HF who have both HF and Asthma has to be 95/ (> 100) = less than 95%.

This is what E says.

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

A. Hay fever is a prerequisite for the development of asthma
May or may not be true. Cannot be inferred.
B. Asthma is a prerequisite for the development of hay fever
May or may not be true. Cannot be inferred.

C. Those who have neither hay fever nor asthma comprise less than 5 percent of the total population
We are not given the percentage of total ppl who contract Asthma or HF. Cannot be inferred.

D. The number of people who have both of these ailments is greater than the number of people who have only one of them
This may not be true. If ppl with HF is 101 and with Asthma is 100. Then ppl with both is 95 and ppl who have either of one of those ailments would 5+6 = 11. So D is not true. On the other hand with ppl with HF is 1000 and with Asthma is 100. Then ppl with both ailments is 95 and ppl with either one of those ailments is 5+905 = 910. Therefore D is true. So D may be true but we don't know for sure.

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

Correct ans. as analyzed above.
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Re: Fact: Asthma, a bronchial condition, is much less common [#permalink]

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New post 01 Jun 2016, 19:29
Here's my analysis :

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.

Inference type -

P1 - Asthma is less common than hay fever.
P2 - over 95% pl suffering from asthma also suffer from hay fever

P1 -> p2 asthma less common – hay fever – common than ashthma

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 no idea no CE relationship
B. Asthma is a prerequisite for the development of hay fever no idea no CE relationship
C. Those who have neither hay fever nor asthma comprise less than 5 percent of the total population
NO !! – total population is not mentioned – reject
D. The number of people who have both of these ailments is greater than the number of people who have only one of them
Attractive - lets evaluate
E. The percentage of people suffering from hay fever who also have asthma is lower than 95 percent.

Per P1 :
H – 100
A – 50
Per P2 :
95%of 50 = 48 ppl also suffer from H
48/100 = 48% less than 95%
E - correct

Lets evaluate D now = 48 > 100/50 NO !!!
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Re: Fact: Asthma, a bronchial condition, is much less common [#permalink]

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New post 24 Jul 2016, 01:25
I chose E by elimination, but then I understood that indeed the Vienn diargam helps here. The solution is pretty straightforward:
Hay Fever (H), Astma (A):

1) H > A, say H=101, A=100
2) Let Intersection of A and H be 96% => 96/100 or 96 people
3) Then E states that 96/H is less than 96/A. In our case 96/101 < 96/100. This is trues as long as H>A, meaning (Any number)/A+ is less than (the same number)/A.

Please mark it as a OG Pack #1 question

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Re: Fact: Asthma, a bronchial condition, is much less common [#permalink]

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New post 28 Jul 2016, 04:34
Plenty of good explanations there!

My way is as follows.:

Let's say we have a set of 100 people
Fact1 .: A is much less common than HF
So we can say out of 100 if 90 are affected by HF then 20 could be affected by A
(20, not 10, because I am including overlapping possibilities)
Fact2.: Around 19 people (out of 20) who have A also have HF
Now let's see answer choices.
"a) If HF is a prerequisite for A, then how can one account for the 20th person
who has only A, but no HF ?"

"b) wrong. We have 90 people with HF but only 20 with A. If B is true, then it does
not explain a big number of people having HF but not A."

"c) not necessary. In this example, maybe there are 10 people who have no A or HF.
(only 90 affected by HF)"

d) 19 is NOT greater than 50,60 or 70.

only E remains. That should be the answer. But for explanation's sake, let's look at e)
e) % of people suffering both from HF & A is 19 - definitely lower than 95.
So E is correct.

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Re: Fact: Asthma, a bronchial condition, is much less common [#permalink]

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New post 13 Sep 2016, 23:38
Same information by math :-

Asthma < 100 >
Hay-fever < 200 > ( Since Asthma < Hay fever )

A - H (BOTH) = 96 < Given >

Total Sample = 100+200 = 300

Option E -> 96 /300 < 95 %


WoundedTiger wrote:
okdongdong wrote:
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.


This problem can be done by using a Venn Diagram as well

Consider given statement: Hay fever is much more common than Asthma and over 95% of people suffering from Asthma also suffer from Hay fever

St A: I don't think so. We have people with Asthma but not hayfever (Area in yellow)
St B: We have people with Hay fever but no Asthma. (Area in red)
St C: Those who have neither...the entire white area need not be less than 5% of the total population
St D: The no. of people who have both (In Black) is not greater than the ones who have one of the dieseases
St E: % of People suffering from Hay Fever +Asthma (Black) is less than 95% percent. Yes.

People who have Asthma and Hay Fever constitute 95% of people with Asthma ie. Black Area/ Yellow+ black Area = 95%

So Black Area (both)/ Red Area (Hay Fever) has to be less than 95 as Red is greater than Yellow ie. Hayfever is more common than Asthma.

Ans E

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Fact: Asthma, a bronchial condition, is much less common [#permalink]

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New post 19 Jul 2017, 09:32
Is this a 750-800 level question?

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Re: Fact: Asthma, a bronchial condition, is much less common [#permalink]

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New post 18 Sep 2017, 05:02
Let us say population is 100

and also let us assume 50 have Asthama and 50 dont have asthama
so >45 have hay fever say 46 => 4 will not have hayfever

see attached image

Ans is E
A and B are out.
C is eliminated as xA and x HF = 6 only
D is eliminated => 46 both < 48 ( 44+4)
E is remaining which is true as => 46/90 is less than 90 %

I applied mathematical approach.

Hope it helps.

Seems like a Venn diagram question.
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IMG_0645.jpg [ 850.2 KiB | Viewed 151 times ]


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Re: Fact: Asthma, a bronchial condition, is much less common [#permalink]

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New post 18 Sep 2017, 05:03
konork wrote:
Is this a 750-800 level question?



assume it as a quants question more or less 700 level.
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Re: Fact: Asthma, a bronchial condition, is much less common [#permalink]

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New post 12 Nov 2017, 05:44
okdongdong wrote:
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.


The correct answer would be E. It is easy to eliminate A and B. Also, we can say nothing about C since, we have no information about the number of people having neither.

This leaves us with D and E: Now suppose the number of people who have asthma is 100, 95 of these have hay fever. And since the number of people with hay fever is less than the number of people with hay fever, let us assume that the number of people with hay fever is 110. Total number of people = (5+95+15 = 115)

Now, 95% of people with asthma also have hay fever, and we also know that the number of people with hay fever is higher. So, the same number of people which is common between the two will make a smaller percentage over a larger base, i.e, 95/100 > 95/115. This will hold true taking any numbers. So, E should be the correct one here!

D states that the number who have both is greater than those who have only one. If Asthma= 100, both= 95, hay fever = 200, Now here, again 95/100 > 95/205 . So, E holds true, but D would not hold true: number of people having both (95)< number having only 1 (5+105=110).

Thus, E is the correct answer choice.

Hi mikemcgarry, Can you please review my reasoning and explanations and let me know if there is any flaw in the same. Thanks :)

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Re: Fact: Asthma, a bronchial condition, is much less common   [#permalink] 12 Nov 2017, 05:44

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