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Updated on: 27 Nov 2020, 04:46
Originally posted by XavierAlexander on 29 Aug 2015, 15:19.
Last edited by XavierAlexander on 27 Nov 2020, 04:46, edited 1 time in total.
Last edited by XavierAlexander on 27 Nov 2020, 04:46, edited 1 time in total.
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A Simple Approach
Cell -- 80 | DVD -- 75 | MP3 -- 55
Max/Min Overlapping section for all three. -- ??
MIN --> Two ways (choose the smaller. i.e. 10)
Attachment:
min-1.png [ 6.91 KiB | Viewed 5964 times ]
Attachment:
min-2.png [ 7.59 KiB | Viewed 5949 times ]
MAX --> One way (55)
Attachment:
max.png [ 7.54 KiB | Viewed 5916 times ]
Ans = Max - Min = 55 - 10 = 45
Hussain15
10 May 2017, 19:05
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How would one solve this problem if a portion of the 100 households did not own ANY of the electronics mentioned in the question?
11 May 2017, 08:26
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hoopsgators
The question does not mention whether there are some households that own no electronics. There could be some.
Look at the figure here: https://gmatclub.com/forum/in-a-village ... ml#p825632
When discussing the maximum overlap case, none NEEDN'T be 0. It may be, it may not be.
Put the three circles within each other. The 75 circle within the 80 circle and the 55 circle within the 75 circle. The overlap will be 55 in that case and none = 20. The figure only shows one of the possible ways of obtaining the maximum.
In the case of minimum, you would want the circles to lie as far apart as possible. If none is anything other than 0, the circles would need to overlap more. Say none = 10, the circles of 80 and 75 would need to have an overlap of 65. So the 55 circle can occupy 25 but an overlap of 30 will be needed. Hence minimum overlap will increase. To minimize the overlap, we will need None = 0.
