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30 Aug 2024, 01:30
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E
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Difficulty:
45%
(medium)
Question Stats:
72% (02:07) correct
28%
(01:52)
wrong
based on 123
sessions
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Out of the 60 employees of a startup, only 10 are non-engineers. How many employees of the startup are engineers with a MBA degree?
(1) Only 1 out of every 12 employees with a MBA degree is a non-engineer
(2) More than 55 percent of all employees have a MBA degree
(1) Only 1 out of every 12 employees with a MBA degree is a non-engineer
(2) More than 55 percent of all employees have a MBA degree
30 Aug 2024, 02:16
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Using a 3x3 matrix and filling in the info provided in the stem
\begin{tabular}{|l|l|l|l|}
\hline
~ & E & nE & Total \\ \hline
MBA & ~ & ~ & ~ \\ \hline
nMBA & ~ & ~ & ~ \\ \hline
Total & 50 & 10 & 60 \\ \hline
\end{tabular}
(1) Only 1 out of every 12 employees with a MBA degree is a non-engineer
Let the number of employees who have an MBA = x
\begin{tabular}{|l|l|l|l|}
\hline
~ & E & nE & Total \\ \hline
MBA & \(\frac{11}{12}\)x & \(\frac{1}{12}\)x & x \\ \hline
nMBA & ~ & ~ & ~ \\ \hline
Total & 50 & 10 & 60 \\ \hline
\end{tabular}
With the info provided it is impossible to solve for a value for x and thus know the number of employees who are engineers and have an MBA.
INSUFFICIENT
(2) More than 55 percent of all employees have a MBA degree
\begin{tabular}{|l|l|l|l|}
\hline
~ & E & nE & Total \\ \hline
MBA & ~ & ~ & ~ \\ \hline
nMBA & ~ & ~ & ~ \\ \hline
Total & 50 & 10 & 60 \\ \hline
\end{tabular}
Without an exact value it is impossible to plot or use the info provided in the statement to solve the question.
INSUFFICIENT
(1+2)
Putting the two statements together does not provide enough with which to solve this question.
INSUFFICIENT
ANSWER E
\begin{tabular}{|l|l|l|l|}
\hline
~ & E & nE & Total \\ \hline
MBA & ~ & ~ & ~ \\ \hline
nMBA & ~ & ~ & ~ \\ \hline
Total & 50 & 10 & 60 \\ \hline
\end{tabular}
(1) Only 1 out of every 12 employees with a MBA degree is a non-engineer
Let the number of employees who have an MBA = x
\begin{tabular}{|l|l|l|l|}
\hline
~ & E & nE & Total \\ \hline
MBA & \(\frac{11}{12}\)x & \(\frac{1}{12}\)x & x \\ \hline
nMBA & ~ & ~ & ~ \\ \hline
Total & 50 & 10 & 60 \\ \hline
\end{tabular}
With the info provided it is impossible to solve for a value for x and thus know the number of employees who are engineers and have an MBA.
INSUFFICIENT
(2) More than 55 percent of all employees have a MBA degree
\begin{tabular}{|l|l|l|l|}
\hline
~ & E & nE & Total \\ \hline
MBA & ~ & ~ & ~ \\ \hline
nMBA & ~ & ~ & ~ \\ \hline
Total & 50 & 10 & 60 \\ \hline
\end{tabular}
Without an exact value it is impossible to plot or use the info provided in the statement to solve the question.
INSUFFICIENT
(1+2)
Putting the two statements together does not provide enough with which to solve this question.
INSUFFICIENT
ANSWER E
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