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17 Jun 2016, 05:28
Kudos
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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:
35%
(medium)
Question Stats:
73% (02:10) correct
27%
(02:12)
wrong
based on 229
sessions
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In Jonathan's pen there are 300 sheep's. 5/6 of the sheep's are white, 2/3 of the sheep's have soft wool. What can't be the number of white sheep's that also have soft wool in the pen?
A. 100
B. 200
C. 190
D. 180
E. 160
A. 100
B. 200
C. 190
D. 180
E. 160
04 Sep 2023, 23:46
Kudos
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Bunuel
Total sheep = 300
White sheep = 250
Soft wool sheep = 200
We have to find the range of the overlap i.e. the minimum and maximum value of 'Both.'
The maximum value of Both is simply 200 (when the soft wool circle is inside the white sheep circle.
Both varies with Neither. It takes the minimum value when Neither = 0
300 = 250 + 200 - Both
Both = 150
So Both varies from 150 to 200 and cannot take a value of 100.
Answer (A)
Check this one minute video for an official question much like this: https://youtube.com/shorts/wHly5miUxTs?feature=share
17 Jun 2016, 06:03
Kudos
Bookmarks
The answer is A as sum of all non-white sheep would total to only 50 whereas plugging in 100 in both white+softwool category would result in a negative number under sheep with neither white color nor soft wool . Attached matrix workings for this overlapping problem.
Attachments
File comment: Workings
Matrix.jpg [ 128.22 KiB | Viewed 5757 times ]
