Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 11 Aug 2007
Posts: 60

When 1,000 children were inoculated with a certain vaccine,
[#permalink]
Show Tags
Updated on: 11 May 2014, 06:25
Question Stats:
70% (00:39) correct 30% (00:38) wrong based on 740 sessions
HideShow timer Statistics
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
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by elgo on 25 Oct 2007, 08:42.
Last edited by Bunuel on 11 May 2014, 06:25, edited 1 time in total.
Renamed the topic, edited the question and added the OA.




Math Expert
Joined: 02 Sep 2009
Posts: 49303

When 1,000 children were inoculated with a certain vaccine,
[#permalink]
Show Tags
11 May 2014, 06:38




Manager
Joined: 11 Aug 2007
Posts: 60

Oh, now I see that I mistakenly understood the second st.! I read it as 20 children developed fever but not inflammation.
Ok, that's it! Two CATs per day is too much!
Thanks!



Manager
Joined: 24 Jul 2007
Posts: 77

Re: GMAT prep 1, Q26 (DS)
[#permalink]
Show Tags
28 Oct 2007, 23:42
elgo wrote: Obviously, smth is wrong with my brain, but I couldn't understand the OA...
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
any thoughts?
The answer is C, combine the 2 statements and its sufficient
1000880(neither)20(fever) =100



GMAT Club Legend
Joined: 07 Jul 2004
Posts: 4906
Location: Singapore

St1:
just tells us that #(inflmmation only) + #(fever only) + #(both fever and inflmmation) = 120. Insufficient.
St2:
Just tells us if #(fever and inflmmation) = x, then #(fever only) = 20x. Insufficient.
St1 and St2:
#(inflmmation only) = Ix
#(inflmmation and fever) = x
#(fever only) = 20x
So Ix + x + 20x = 120
Ix = 100
#(inflmmation only) = 100
Sufficient.
Ans C
P.S: Solved using Venn Diagram.



Intern
Joined: 07 May 2014
Posts: 20

Re: When 1,000 children were inoculated with a certain vaccine
[#permalink]
Show Tags
11 May 2014, 05:48
It seems there is no detail about children developing inflammation and fever. It is safe to assume there is no A∩B unless it is clearly mentioned in the question?



Intern
Joined: 17 Jan 2014
Posts: 11

Re: When 1,000 children were inoculated with a certain vaccine,
[#permalink]
Show Tags
21 Oct 2016, 23:51
Hello, I tried solving this question through Venn Diagram. Putting the attachment here. Could anyone please let me know where am I lacking? Total Sample = 1000 Neither I nor Fever = 880 Remaining = 120 with either Fever or Inf. or both. Fever = 20 So, only Inflammation or Inflammation and fever = 100 And hence, according to me, I can't find the answer for the question, hence Statements are insufficient.
Attachments
Untitled.jpg [ 21.1 KiB  Viewed 8047 times ]



Senior Manager
Affiliations: SPG
Joined: 15 Nov 2006
Posts: 308

Re: When 1,000 children were inoculated with a certain vaccine,
[#permalink]
Show Tags
04 Jan 2017, 08:34
Bunuel wrote: dhirajx wrote: It seems there is no detail about children developing inflammation and fever. It is safe to assume there is no A∩B unless it is clearly mentioned in the question? No, you cannot assume that. It's viseversa, if there is no overlap, then you'd be told that in one way or another. 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 Attachment: Untitled.png Answer: C. Hope this helps. Bunnel  do you have a rule of thumb about when to use Venn Diagram and when to use matrix table?
_________________
press kudos, if you like the explanation, appreciate the effort or encourage people to respond.
Download the Ultimate SC Flashcards



Math Expert
Joined: 02 Sep 2009
Posts: 49303

Re: When 1,000 children were inoculated with a certain vaccine,
[#permalink]
Show Tags
04 Jan 2017, 10:29
dimitri92 wrote: Bunuel wrote: dhirajx wrote: It seems there is no detail about children developing inflammation and fever. It is safe to assume there is no A∩B unless it is clearly mentioned in the question? No, you cannot assume that. It's viseversa, if there is no overlap, then you'd be told that in one way or another. 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 Attachment: Untitled.png Answer: C. Hope this helps. Bunnel  do you have a rule of thumb about when to use Venn Diagram and when to use matrix table? For 2 groups I almost always use a matrix.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Senior Manager
Affiliations: SPG
Joined: 15 Nov 2006
Posts: 308

Re: When 1,000 children were inoculated with a certain vaccine,
[#permalink]
Show Tags
04 Jan 2017, 11:11
Thanks for the quick response Bunnel. May be I am doing something wrong here and not seeing the right logic. I will appreciate your help here: I don't see two groups. I see one group of kids who can either get one ailment or another. How do we decide if the groups are two or one?
_________________
press kudos, if you like the explanation, appreciate the effort or encourage people to respond.
Download the Ultimate SC Flashcards



Math Expert
Joined: 02 Sep 2009
Posts: 49303

Re: When 1,000 children were inoculated with a certain vaccine,
[#permalink]
Show Tags
05 Jan 2017, 03:34



Director
Joined: 12 Nov 2016
Posts: 759
Location: United States
GPA: 2.66

Re: When 1,000 children were inoculated with a certain vaccine,
[#permalink]
Show Tags
21 Mar 2017, 23:29
[quote="elgo"]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[/quote
In order to solve this question we need to know the number of children who developed neither and the number of children who developed fever it is important to note this is a binary group based on the stimulus it is assumed that there is no group that developed inflammation and fever at the site of inoculation.
Statement (1) gives us only one piece of the equation. Insufficient
Statement (2) still leaves us with the variable of the number of children who developed neither inflammation nor fever. Insufficient.
Statement (1) and Statement (2) together allow us the calculate the number of children who developed inflammation only because there is no overlap with these groups
Total= A + B  Neither ( in this scenario A cannot be A + C (overlap) because it is inferred from the problem, again, you either have developed inflammation or have developed a fever) 1000= A + 20 880 120= A + 20 100= A



Senior Manager
Status: Come! Fall in Love with Learning!
Joined: 05 Jan 2017
Posts: 457
Location: India

Re: When 1,000 children were inoculated with a certain vaccine,
[#permalink]
Show Tags
22 Mar 2017, 02:32
elgo wrote: 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 total = children(nothing) + children(fever only) +children (inflammation only) +children (both) children(fever) = children(fever only) +children(both) St1: 1000 = 880 + children(fever only) +children (inflammation only) +children (both). three variables. one equation.INSUFFICIENT 1000 = 880 +Children (fever) + Children (inflammation only) St 2: 20 = children(fever only) +children(both) therefore 1000 = children(nothing) + 20 +children (inflammation only) St 1 & St 2: 1000 = 880 +20 +Children(inflammation only) children (Inflammation only) = 100. ANSWER Option C
_________________
GMAT Mentors



Intern
Joined: 06 Oct 2017
Posts: 10

When 1,000 children were inoculated with a certain vaccine,
[#permalink]
Show Tags
25 Nov 2017, 01:17
Bunuel wrote: dhirajx wrote: It seems there is no detail about children developing inflammation and fever. It is safe to assume there is no A∩B unless it is clearly mentioned in the question? No, you cannot assume that. It's viseversa, if there is no overlap, then you'd be told that in one way or another. 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: C. Hope this helps. Hi Bunuel, I have a question here.. Usually the formula for two groups is : Total = Group A+ Group B+ Neither  Both In this question, why are we missing out the case for Both? On combining both the statements: 1000= 20(Fever)+X (for Inflammation) +880 (Neither)  Both(Suffering from both) So we have two unknown variables X and Both.. Answer should E in that case..



Math Expert
Joined: 02 Sep 2009
Posts: 49303

Re: When 1,000 children were inoculated with a certain vaccine,
[#permalink]
Show Tags
25 Nov 2017, 01:22
Pratyaksh2791 wrote: Bunuel wrote: dhirajx wrote: It seems there is no detail about children developing inflammation and fever. It is safe to assume there is no A∩B unless it is clearly mentioned in the question? No, you cannot assume that. It's viseversa, if there is no overlap, then you'd be told that in one way or another. 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: C. Hope this helps. Hi Bunuel, I have a question here.. Usually the formula for two groups is : Total = Group A+ Group B+ Neither  Both In this question, why are we missing out the case for Both? On combining both the statements: 1000= 20(Fever)+X (for Inflammation) +880 (Neither)  Both(Suffering from both) So we have two unknown variables X and Both.. Answer should E in that case.. If you reread the solution you quote carefully, you'll see that we can solve this particular question without that formula and without knowing both.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Intern
Joined: 13 Sep 2013
Posts: 3

Re: When 1,000 children were inoculated with a certain vaccine,
[#permalink]
Show Tags
05 Aug 2018, 12:04
If I understand correctly here we are assuming that when they say 20 children developed fever it included both children who only developed fever and children who developed both fever and inflammation? Because generally questions like this would mention children having fever separately and children having both fever and inflammation separately  making this question vague. It should clearly mention in the question what there statements imply.




Re: When 1,000 children were inoculated with a certain vaccine, &nbs
[#permalink]
05 Aug 2018, 12:04






