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24 Aug 2021, 08:00
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
16% (02:00) correct
84%
(02:31)
wrong
based on 284
sessions
History
Date
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Not Attempted Yet
In a survey of an Olympic team members, 1/6th of them said they do not watch movies during their free time, of those, 3/4th said they also do not play video games during their free time. Is the number of the Olympic team members who do not play video games equal to 90 ?
(1) 210 members of the Olympic team said that they watch movies and play video games during their free time
(2) 15 members of the Olympic team said that they play video games but do not watch movies during their free time
M36-14
(1) 210 members of the Olympic team said that they watch movies and play video games during their free time
(2) 15 members of the Olympic team said that they play video games but do not watch movies during their free time
M36-14
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Official Solution:
In a survey of an Olympic team members, \(\frac{1}{6}^{th}\) of them said they do not watch movies during their free time, of those, \(\frac{3}{4}^{th}\) said they also do not play video games during their free time. Is the number of the Olympic team members who do not play video games equal to 90 ?
This is what we know from the stem:
The question asks whether YELLOW box is 90. (1) 210 members of the Olympic team said that they watch movies and play video games during their free time
Fill the matrix with the information provided in this statement:
So, the question asks whether \(x - (210 + \frac{x}{24})\) is 90. Solving \(x - (210 + \frac{x}{24})=90\) gives \(x = \frac{7200}{23}\), which is not possible because \(x\) represents the number of people and must be an integer. Therefore, the number of the Olympic team members who do not play video games cannot equal to 90. Sufficient. (2) 15 members of the Olympic team said that they play video games but do not watch movies during their free time
Fill the matrix with the information provided in this statement:
From this statement we get that \(\frac{x}{24} = 15\), which gives \(x\) as 360. So, we get
As you can see there is no way to tell whether the yellow box is 90 or not. Not sufficient.
Answer: A
General Discussion
24 Aug 2021, 08:37
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Bookmarks
Given: In a survey of an Olympic team members, 1/6th of them said they do not watch movies during their free time, of those, 3/4th said they also do not play video games during their free time.
Asked: Is the number of the Olympic team members who do not play video games equal to 90 ?
(1) 210 members of the Olympic team said that they watch movies and play video games during their free time
Surely, the Olympic team members who do not play video games = 3x/4 > 3*210 = 630 and NOT equal 90.
SUFFICIENT
(2) 15 members of the Olympic team said that they play video games but do not watch movies during their free time
the Olympic team members who do not play video games = 3x/4 > 3*15 = 60
Which may or may not be equal to 90
NOT SUFFICIENT
IMO A
Asked: Is the number of the Olympic team members who do not play video games equal to 90 ?
| Watch movies | ~Watch movies | Total | |
| Play video games | x/4 | ||
| ~Play video games | Is 3x/4 | = 90?||
| Total | 5x/6 | x/6 | x |
(1) 210 members of the Olympic team said that they watch movies and play video games during their free time
| Watch movies | ~Watch movies | Total | |
| Play video games | 210 | x/4>210 | |
| ~Play video games | 3x/4 | ||
| Total | 5x/6 | x/6 | x |
SUFFICIENT
(2) 15 members of the Olympic team said that they play video games but do not watch movies during their free time
| Watch movies | ~Watch movies | Total | |
| Play video games | 15 | x/4> 15 | |
| ~Play video games | Is 3x/4 | = 90?||
| Total | 5x/6 | x/6 | x |
Which may or may not be equal to 90
NOT SUFFICIENT
IMO A
