* set theory-tricky problem

[aartisharma.chd]

In a village of 100 households,75 have at ;leats one dvd player, 80 have atleats one cell phone and 55 have atleast one MP3 player.
Every village has at leats one of these devices. If x and y are the lowest and greatest possible number of households that have all three of these devices, x-y is :

A)65
B)55
C)45
D)35
E)25

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[aartisharma.chd]

thanks for the explanation.

[ehu405]

Seems dangerous to me to just assume that 55 is the max number for all 3 without doing any calculation.

For example, if there were 110 households total, the maximum would then be 50, not 55.

[esledge]

This question is not found in our CAT exams.

Please cite the source (author) of this problem. We cannot discuss a problem until a source is cited (and, if no source is cited, we will have to delete the post!). Thanks.