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08 Aug 2024, 01:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
84% (02:14) correct
16%
(02:14)
wrong
based on 121
sessions
History
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Time
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Not Attempted Yet
Of the 700 flat screen televisions sold by Easy Electronics, 30% offer high-definition and measure over 40 inches diagonally. How many of the flat screen televisions offer high-definition and are 40 inches or smaller in size?
(1) 55% of the flat screen televisions measure more than 40 inches diagonally.
(2) 105 of the flat screen televisions are 40 inches or smaller and do not offer high-definition.
(1) 55% of the flat screen televisions measure more than 40 inches diagonally.
(2) 105 of the flat screen televisions are 40 inches or smaller and do not offer high-definition.
08 Aug 2024, 01:48
Kudos
Bookmarks
I could resolve this using this the 2x2 matrix
Greater than 40 Inches Equal or less than 40 inches
HD 30% of total x
Non HD y 105
Total 55% of total
We are looking for x here
Statement A - 55% of total are greater than 40 inches. we can only get the "y" part here and not enough for us to get "x"
Statement B - 105 is given but that statement independently is not helping.
But when we combine A and B statements, we get the answer we need and thus Option "C" is correct.
Greater than 40 Inches Equal or less than 40 inches
HD 30% of total x
Non HD y 105
Total 55% of total
We are looking for x here
Statement A - 55% of total are greater than 40 inches. we can only get the "y" part here and not enough for us to get "x"
Statement B - 105 is given but that statement independently is not helping.
But when we combine A and B statements, we get the answer we need and thus Option "C" is correct.
08 Aug 2024, 02:18
Kudos
Bookmarks
30% of 700 = 210
Using a 3x3 matrix and plotting these two pieces of information:
\begin{tabular}{|l|l|l|l|}
\hline
~ & HD & nHD & Total \\ \hline
40+ & 210 & ~ & ~ \\ \hline
n40+ & ~ & ~ & ~ \\ \hline
Total & ~ & ~ & 700 \\ \hline
\end{tabular}
(1) 55% of the televisions measure more than 40 inches diagonally.
55% of 700 = 385
Filling this in and doing any calculations which can be done:
\begin{tabular}{|l|l|l|l|}
\hline
~ & HD & nHD & Total \\ \hline
40+ & 210 & 175 & 385 \\ \hline
n40+ & ~ & ~ & 315 \\ \hline
Total & ~ & ~ & 700 \\ \hline
\end{tabular}
Without further information it is impossible to determine the number of the flat screen televisions which are offer HD and are 40 inches or smaller in size.
INSUFFICIENT
(2) 105 of the television are 40 inches or smaller and do not offer high-definition.
Filling in the information from this statement and doing any calculations which can be done:
\begin{tabular}{|l|l|l|l|}
\hline
~ & HD & nHD & Total \\ \hline
40+ & 210 & ~ & ~ \\ \hline
n40+ & ~ & 105 & ~ \\ \hline
Total & ~ & ~ & 700 \\ \hline
\end{tabular}
Without more information it is impossible to solve for the number of the flat screen televisions which are HD and are 40 inches or smaller in size.
INSUFFICIENT
(1+2)
Combining the two tables will yield:
\begin{tabular}{|l|l|l|l|}
\hline
~ & HD & nHD & Total \\ \hline
40+ & 210 & 175 & 385 \\ \hline
n40+ & ~ & 105 & 315 \\ \hline
Total & ~ & ~ & 700 \\ \hline
\end{tabular}
From here it is easy to solve for the number of the flat screen televisions which are HD and are 40 inches or smaller in size: \(315-105=210\)
SUFFICIENT
ANSWER C
Using a 3x3 matrix and plotting these two pieces of information:
\begin{tabular}{|l|l|l|l|}
\hline
~ & HD & nHD & Total \\ \hline
40+ & 210 & ~ & ~ \\ \hline
n40+ & ~ & ~ & ~ \\ \hline
Total & ~ & ~ & 700 \\ \hline
\end{tabular}
(1) 55% of the televisions measure more than 40 inches diagonally.
55% of 700 = 385
Filling this in and doing any calculations which can be done:
\begin{tabular}{|l|l|l|l|}
\hline
~ & HD & nHD & Total \\ \hline
40+ & 210 & 175 & 385 \\ \hline
n40+ & ~ & ~ & 315 \\ \hline
Total & ~ & ~ & 700 \\ \hline
\end{tabular}
Without further information it is impossible to determine the number of the flat screen televisions which are offer HD and are 40 inches or smaller in size.
INSUFFICIENT
(2) 105 of the television are 40 inches or smaller and do not offer high-definition.
Filling in the information from this statement and doing any calculations which can be done:
\begin{tabular}{|l|l|l|l|}
\hline
~ & HD & nHD & Total \\ \hline
40+ & 210 & ~ & ~ \\ \hline
n40+ & ~ & 105 & ~ \\ \hline
Total & ~ & ~ & 700 \\ \hline
\end{tabular}
Without more information it is impossible to solve for the number of the flat screen televisions which are HD and are 40 inches or smaller in size.
INSUFFICIENT
(1+2)
Combining the two tables will yield:
\begin{tabular}{|l|l|l|l|}
\hline
~ & HD & nHD & Total \\ \hline
40+ & 210 & 175 & 385 \\ \hline
n40+ & ~ & 105 & 315 \\ \hline
Total & ~ & ~ & 700 \\ \hline
\end{tabular}
From here it is easy to solve for the number of the flat screen televisions which are HD and are 40 inches or smaller in size: \(315-105=210\)
SUFFICIENT
ANSWER C
