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Newspaper Delivery problem

Expert replies
by tom@beatthegmat » Tue May 28, 2013 7:49 am
Hi All,

A Facebook user posted this problem to the Beat the GMAT wall, and I'm hoping one of you might be able to help him out.

His question is below. I've pointed him to this forum, and hopefully he'll get the help he's looking for.

***

A total of 90 copies of the Times, the Mail or the Express were delivered to the 60 houses in certain street.
- Each house took at least one paper.
- Five houses each took a copy of each paper.
- No houses took only the Mail.
- Seven houses took both the Times and the Mail, but not the Express.
- Nine houses took both the Mail and the Express, but not the Times.
Draw a Venn diagram to illustrate this information and find
(i) The number of houses which took both the Times and the Express, but not the Mail,
(ii) The least and the greatest number of copies of the times that might be required.
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Source: — Problem Solving |