BTGmoderatorDC 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.
OA C
Source: GMAT Prep
Let's take each statement one by one.
Say,
I = Number of children that developed inflammation but not fever;
F = Number of children that developed fever but not inflammation;
B = Number of children that developed both fever and inflammation
N = Number of children that developed neither fever nor inflammation
Thus, 1000 = I + B + F + N
We have to get the value of I.
(1) 880 children developed neither inflammation nor fever.
N = 880. But we can't get the value of I. Insufficient.
(2) 20 children developed fever.
B + F = 20. But we can't get the value of I. Insufficient.
(1) and (2) together
1000 = 880 + I + 20
I = 100. Sufficient.
The correct answer:
C
Hope this helps!
-Jay
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