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gmatprep - sets problem

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gmatprep - sets problem

by shahab03 » Fri Sep 12, 2008 9:31 am
please explain your solution..
thanks


when 1,000 children were inoculated with a certain vaccine, some developed inflammation at the site of the inoculation and some developed fever. How many of the children developed inflammation but not fever ?

(1) 880 children developed neither inflammation nor fever
(2) 20 children developed fever.
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Source: — Data Sufficiency |
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by hengirl03 » Fri Sep 12, 2008 9:53 am
I tried to solve this problem by filling out a table. However, it couldn't fill the table completely. So I think the answer is E. What is the official answer?
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by arorag » Fri Sep 12, 2008 11:42 am
Ans should be C

draw venn diagram
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by hengirl03 » Fri Sep 12, 2008 11:53 am
Would you explain how you got C please?

Is it:

There 120 students w/ fever or inflammation.
20 of those student have the only fever or the fever w/ inflammation.
So, 100 of the students have only inflammation.
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Re: gmatprep - sets problem

by parallel_chase » Fri Sep 12, 2008 1:15 pm
shahab03 wrote:please explain your solution..
thanks


when 1,000 children were inoculated with a certain vaccine, some developed inflammation at the site of the inoculation and some developed fever. How many of the children developed inflammation but not fever ?

(1) 880 children developed neither inflammation nor fever
(2) 20 children developed fever.
Answer should be C

Inflammation - I
Fever - F

Total = F + I - Both (I+F) + Neither (I+F)

I - Both (I+F) = ???

Statements 1 & 2 are clearly insufficient alone.

Combining 1 & 2

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

I - Both (I+F) = 100

Sufficient.

Hence C is the answer.
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by ddm » Fri Sep 12, 2008 4:10 pm
To parallel_chase

2nd statement mentions that 20 children developed fever...but it is even possible that few out of 20 even developed inflammation...

N the question is asking How many of the children developed inflammation but not fever.

I - Both (I+F) = 100
This does not answer the question
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by Sunny22uk » Fri Sep 12, 2008 6:37 pm
ddm wrote:To parallel_chase

2nd statement mentions that 20 children developed fever...but it is even possible that few out of 20 even developed inflammation...

N the question is asking How many of the children developed inflammation but not fever.

I - Both (I+F) = 100
This does not answer the question
You are right it is quite possible that few out of 20 even developed inflammation. The question asks How many of the children developed inflammation but not fever ? If 20 of them developed fever,they can be subtracted
You cannot discover new oceans unless you have the courage to loose sight of the shore.
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by greentealeaf » Tue May 04, 2010 1:14 am
ddm wrote:To parallel_chase

2nd statement mentions that 20 children developed fever...but it is even possible that few out of 20 even developed inflammation...

N the question is asking How many of the children developed inflammation but not fever.

I - Both (I+F) = 100
This does not answer the question
NOT FEVER is important. don't confuse it with Inflammation.
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