A data company recently conducted a survey to determine whether people use product X or product Y. If fewer than 100 people were surveyed and each person used either one product or both, how many people used product Y?
(1) 65% of survey respondents used only product X
(2) 10% of survey respondents used both products X and Y
OA E
Source: Veritas Prep
A data company recently conducted a survey to determine whether people use product X or product Y. If fewer than 100
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Say the p no. of people were surveyed, x no. of people used only product X, y no. of people used only product Y, and n no. of people used both the products.BTGmoderatorDC wrote: ↑Wed Aug 05, 2020 5:21 pmA data company recently conducted a survey to determine whether people use product X or product Y. If fewer than 100 people were surveyed and each person used either one product or both, how many people used product Y?
(1) 65% of survey respondents used only product X
(2) 10% of survey respondents used both products X and Y
OA E
Source: Veritas Prep
Thus, we have
p = x + y + b
=> y + b = no. of people who use product Y. We have get the value of y + b.
Let's take each statement one by one.
(1) 65% of survey respondents used only product X.
=> p = 65% of p + (y + b)
=> y + b = 0.35p. Since we do not know the value of p, we can't get the answer. Insufficient.
(2) 10% of survey respondents used both products X and Y.
=> b = 10% of p = 0.1p
Certainly insufficient.
(1) and (2) together
Even with y + b = 0.35p. and b = 0.1p, we can't get the unique value of y + b. Insufficient.
Correct answer: E
Hope this helps!
Jay
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