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03 Jul 2024, 01:30
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
73% (01:48) correct
27%
(02:06)
wrong
based on 264
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In an adventure sports club, Silver class membership is awarded to those who have participated in only one of the following activities: sky diving or rappelling. If a member does both activities his/her membership is upgraded to Gold class membership. If a total of 150 members are enrolled in the club, how many out of these are Silver Class members?
(1) The total number of members who have participated in skydiving is 45.
(2) The total number of members who have not participated in skydiving is 105.
(1) The total number of members who have participated in skydiving is 45.
(2) The total number of members who have not participated in skydiving is 105.
03 Jul 2024, 01:56
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S1: 45 skydive, which means the other 105 (to total 150) dont
Insufficient
S2: 105 dont skydive which means the other 45 (to total 150) do
Insufficient
Together also insufficient
Insufficient
S2: 105 dont skydive which means the other 45 (to total 150) do
Insufficient
Together also insufficient
03 Jul 2024, 03:41
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Given - Silver class membership is awarded to those who have participated in only one of the following activities: sky diving or rappelling.
If a member does both activities his/her membership is upgraded to Gold class membership.
A=Sky diving & B=Rapelling, Silver = n(A) + n(B) - 2*n(A∩B) and Gold = n(A∩B)
To find - If a total of 150 members are enrolled in the club, how many out of these are Silver Class members?
n(AUB) = 150
1st - The total number of members who have participated in skydiving is 45.
n(A) = 45,
As n(AUB) = n(A) + n(B) - n(A∩B)
Therefore only Rappling i.e. n(B) - n(A∩B) = n(AUB) - n(A) = 150 - 45 = 105.
From this we cant calculate n(A∩B) Hence Not sufficient.
2nd - The total number of members who have not participated in skydiving is 105.
Means, only Rappling n(B) - n(A∩B) = 105 which is same we got from statement 1 Hence Not sufficient.
And as they both give same result together as well they are not sufficient. Answer E.
If a member does both activities his/her membership is upgraded to Gold class membership.
A=Sky diving & B=Rapelling, Silver = n(A) + n(B) - 2*n(A∩B) and Gold = n(A∩B)
To find - If a total of 150 members are enrolled in the club, how many out of these are Silver Class members?
n(AUB) = 150
1st - The total number of members who have participated in skydiving is 45.
n(A) = 45,
As n(AUB) = n(A) + n(B) - n(A∩B)
Therefore only Rappling i.e. n(B) - n(A∩B) = n(AUB) - n(A) = 150 - 45 = 105.
From this we cant calculate n(A∩B) Hence Not sufficient.
2nd - The total number of members who have not participated in skydiving is 105.
Means, only Rappling n(B) - n(A∩B) = 105 which is same we got from statement 1 Hence Not sufficient.
And as they both give same result together as well they are not sufficient. Answer E.
03 Jul 2024, 06:34
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(1) The total number of members who have participated in skydiving is 45.
Using a 3x3 matrix where S = Skydiving and R = Rappelling
\begin{tabular}{|l|l|l|l|}
\hline
~ & R & nR & Total \\ \hline
S & ~ & ~ & 45 \\ \hline
nS & ~ & ~ & 105 \\ \hline
Total & ~ & ~ & 150 \\ \hline
\end{tabular}
From this statement one can fill in that the total for \(S\) is 45, and the Total for \(nS\) is 105. Without more information, it is impossible to solve for the number of Silver Class Members.
INSUFFICIENT
(2) The total number of members who have not participated in skydiving is 105.
This statement provides the same information as above, just in reverse.
\begin{tabular}{|l|l|l|l|}
\hline
~ & R & nR & Total \\ \hline
S & ~ & ~ & 45 \\ \hline
nS & ~ & ~ & 105 \\ \hline
Total & ~ & ~ & 150 \\ \hline
\end{tabular}
INSUFFICIENT
(1+2)
As the statements provide the same information, putting the two statements together will not provide any new information.
INSUFFICIENT
ANSWER E
Using a 3x3 matrix where S = Skydiving and R = Rappelling
\begin{tabular}{|l|l|l|l|}
\hline
~ & R & nR & Total \\ \hline
S & ~ & ~ & 45 \\ \hline
nS & ~ & ~ & 105 \\ \hline
Total & ~ & ~ & 150 \\ \hline
\end{tabular}
From this statement one can fill in that the total for \(S\) is 45, and the Total for \(nS\) is 105. Without more information, it is impossible to solve for the number of Silver Class Members.
INSUFFICIENT
(2) The total number of members who have not participated in skydiving is 105.
This statement provides the same information as above, just in reverse.
\begin{tabular}{|l|l|l|l|}
\hline
~ & R & nR & Total \\ \hline
S & ~ & ~ & 45 \\ \hline
nS & ~ & ~ & 105 \\ \hline
Total & ~ & ~ & 150 \\ \hline
\end{tabular}
INSUFFICIENT
(1+2)
As the statements provide the same information, putting the two statements together will not provide any new information.
INSUFFICIENT
ANSWER E
