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# DS : Gmatprep

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Senior Manager
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17 Jul 2006, 12:34
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17 Jul 2006, 12:44
totoal = 1000
nither = 880
either i or f = 120
f = 20
so only i = 120 -20 = 100

got C.
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17 Jul 2006, 12:51
I get C as well. But I get zero as the answer with the matrix method.

Basically 20 have fever so 880 do not. Of the 880, 880 have no inflamation so the intersection of inflamation and no fever is zero.
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17 Jul 2006, 12:55
E.

Fever -> F, Inflammation -> I, Total -> T, Neither -> N

F + I - F (intersection) I + N = T

20 + I - F (intersection) I + 880 = 1000

Cannot find only F, as only F -> F - F (intersection) I
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17 Jul 2006, 13:00
Creating a grid for the problem should make this easier.

Let x be the variable to find.

S1: 880 children had no inflammation and no fever.

This is not sufficient to determine Inflammation and No fever count. Not sufficient.

S2: No Inflammation and Fever = 20

Again not sufficient.

S1 & S2: 20+ 880+x = 1000
Sufficient.

Therefore C.
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17 Jul 2006, 13:14
Are you sure hass_mba07. The second statement doesn't say "fever no inflamation". It just says 20 people have fever. (Of which who knows there could be any number of people with both fever and inflamation
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17 Jul 2006, 13:31
I didn't use the "fever & no inflammation" row of my grid. Used the bottom total for "fever" which is either with inflammation and without inflammation .

If you read the rows as Inflammation/No Inflammation and the columns as "fever/no fever" and the end of the row and columns as total (on the right of rows and bottom of the columns) you should have 1000 as the total.

rnachloo wrote:
Are you sure hass_mba07. The second statement doesn't say "fever no inflamation". It just says 20 people have fever. (Of which who knows there could be any number of people with both fever and inflamation

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Senior Manager
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17 Jul 2006, 13:53
haas_mba07 wrote:
I didn't use the "fever & no inflammation" row of my grid. Used the bottom total for "fever" which is either with inflammation and without inflammation .

If you read the rows as Inflammation/No Inflammation and the columns as "fever/no fever" and the end of the row and columns as total (on the right of rows and bottom of the columns) you should have 1000 as the total.

rnachloo wrote:
Are you sure hass_mba07. The second statement doesn't say "fever no inflamation". It just says 20 people have fever. (Of which who knows there could be any number of people with both fever and inflamation

You are assuming that there are no cases wiith both inflammation and fever .. The question doesnt say that there are no cases with both, but it doesnt deny either.. So, shd we not consider cases with both inflammation and fever.
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17 Jul 2006, 18:30
sgrover wrote:
haas_mba07 wrote:
I didn't use the "fever & no inflammation" row of my grid. Used the bottom total for "fever" which is either with inflammation and without inflammation .

If you read the rows as Inflammation/No Inflammation and the columns as "fever/no fever" and the end of the row and columns as total (on the right of rows and bottom of the columns) you should have 1000 as the total.

rnachloo wrote:
Are you sure hass_mba07. The second statement doesn't say "fever no inflamation". It just says 20 people have fever. (Of which who knows there could be any number of people with both fever and inflamation

You are assuming that there are no cases wiith both inflammation and fever .. The question doesnt say that there are no cases with both, but it doesnt deny either.. So, shd we not consider cases with both inflammation and fever.

My mistake.. Fever cases include the common cases as well.. somehow got confused.
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17 Jul 2006, 18:33
sgrover wrote:
haas_mba07 wrote:
I didn't use the "fever & no inflammation" row of my grid. Used the bottom total for "fever" which is either with inflammation and without inflammation .

If you read the rows as Inflammation/No Inflammation and the columns as "fever/no fever" and the end of the row and columns as total (on the right of rows and bottom of the columns) you should have 1000 as the total.

rnachloo wrote:
Are you sure hass_mba07. The second statement doesn't say "fever no inflamation". It just says 20 people have fever. (Of which who knows there could be any number of people with both fever and inflamation

You are assuming that there are no cases wiith both inflammation and fever .. The question doesnt say that there are no cases with both, but it doesnt deny either.. So, shd we not consider cases with both inflammation and fever.

good question............

if there are any cases of inflamation and fever, that is only possible with 20 people who have fever.

lets suppose 15 people who have fever also have inflamation. then still we have the same number of people (100) with inflamation cuz it doesnot affect the people with only inflamation.

since we have information about the people who have fever, it is sufficient to know the number of people with iflamation only.
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17 Jul 2006, 19:05
It's C
No math needed
880 were symptom free
They either had fever or inflammation, but not both
100 developed inflammation..

Although I do think the question could have been worded better ,but thay may have tipped people off...
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19 Jul 2006, 01:32
Good Question and a nice trap.

We are so used to looking at traps that sometimes miss the obvious.

We have 1000 people, 880 without Immflamation or fever and 20 with fever.
Rest is 100.
Now these 100 surely donot have any fever as the number of people with fever is mentioned. And they surely are suffering from immflamation as the number of people not having any is also mentioned.
So the only choice left is Immflamation
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19 Jul 2006, 01:43
sgrover wrote:

1)this is not ggod enough
2) again here we have 20 having fever
so if take both the options then

total=1000
neither Fever not Inflammation = 880 i.e. either F or I =(1000 - 880)=120
now, F=20
hence only I=120-20=100

so ans should be C
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Amit

Re: DS : Gmatprep   [#permalink] 19 Jul 2006, 01:43
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