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PS: Virtual reality therapy

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by massi2884 » Tue Apr 10, 2012 11:00 am
Of the 300 subjects who participated in an experiment using virtual-reality therapy to reduce their fear of heights, 40 percent experienced sweaty palms, 30 percent experienced vomiting, and 75 percent experienced dizziness. If all the subjects experienced at least one of these effects and 35 percent of the subjects experienced exactly two of these effects, how many of the subjects experienced only one of these effects?

105
125
130
180
195

OA is D
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by rijul007 » Tue Apr 10, 2012 11:54 am
massi2884 wrote:Of the 300 subjects who participated in an experiment using virtual-reality therapy to reduce their fear of heights, 40 percent experienced sweaty palms, 30 percent experienced vomiting, and 75 percent experienced dizziness. If all the subjects experienced at least one of these effects and 35 percent of the subjects experienced exactly two of these effects, how many of the subjects experienced only one of these effects?

105
125
130
180
195

OA is D
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a+d+g+f = 40
b+d+g+e = 30
c+e+f+g = 75

d+e+f = 35

a+b+c+2(d+e+f)+3g = 145
a+b+c+d+e+f+g = 100
100+35+2g = 45
g = 10/2 = 5

a+b+c+ 2(35) + 15 = 145
a+b+c = 145 - 85 = 60

60% of 300 = 180

Option D
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