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03 Aug 2023, 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:
45%
(medium)
Question Stats:
64% (01:59) correct
36%
(01:55)
wrong
based on 123
sessions
History
Date
Time
Result
Not Attempted Yet
What percentage of the current fourth graders at Liberation Elementary School dressed in costume for Halloween for the past two years in a row (both this year and last year)?
(1) 60% of the current fourth graders at Liberation Elementary School dressed in costume for Halloween this year.
(2) Of the current fourth graders at Liberation Elementary School who did not dress in costume for Halloween this year, 80% did not dress in costume last year.
(1) 60% of the current fourth graders at Liberation Elementary School dressed in costume for Halloween this year.
(2) Of the current fourth graders at Liberation Elementary School who did not dress in costume for Halloween this year, 80% did not dress in costume last year.
03 Aug 2023, 07:23
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Bunuel
We can use a 2*2 matrix to approach this question
| Last Year - Dressed in Costume | Last Year - Not Dressed in Costume | Total | |
| This Year - Dressed in Costume | x | ||
| This Year - Not Dressed in Costume | |||
| Total | t |
Statement 1
(1) 60% of the current fourth graders at Liberation Elementary School dressed in costume for Halloween this year.
| Last Year - Dressed in Costume | Last Year - Not Dressed in Costume | Total | |
| This Year - Dressed in Costume | x | 0.6t | |
| This Year - Not Dressed in Costume | 0.4t | ||
| Total | t |
We don't have sufficient information to answer the question. Hence, we can eliminate A and D.
Statement 2
(2) Of the current fourth graders at Liberation Elementary School who did not dress in costume for Halloween this year, 80% did not dress in costume last year.
| Last Year - Dressed in Costume | Last Year - Not Dressed in Costume | Total | |
| This Year - Dressed in Costume | x | t - m | |
| This Year - Not Dressed in Costume | 0.2m | 0.8m | m |
| Total | t |
We don't have sufficient information to answer the question. Hence, we can eliminate B.
Combined
| Last Year - Dressed in Costume | Last Year - Not Dressed in Costume | Total | |
| This Year - Dressed in Costume | x | 0.6t | |
| This Year - Not Dressed in Costume | 0.08t | 0.32t | 0.4t |
| Total | t |
However, the information is still not sufficient to find the value of \(x\) or \(\frac{x}{t}\).
The statements combined do not help.
Option E
03 Aug 2023, 17:07
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1) what about LY? INSUFF
2) "Of the current fourth graders at Liberation Elementary School who did not dress in costume for Halloween this year..." How many? INSUFF
1 & 2)
CY = Current Year
---------------------- | CY | LY
dress Halloween | 60% | 100%-z
not dress Halloween | 40% | z= 80%*40% + 60%*y%=32%+0.6y%
We want 60%*(100%-z). But z is undefined, because y is undefined
ANSWER: E
2) "Of the current fourth graders at Liberation Elementary School who did not dress in costume for Halloween this year..." How many? INSUFF
1 & 2)
CY = Current Year
---------------------- | CY | LY
dress Halloween | 60% | 100%-z
not dress Halloween | 40% | z= 80%*40% + 60%*y%=32%+0.6y%
We want 60%*(100%-z). But z is undefined, because y is undefined
ANSWER: E
