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PROBLEM SOLVING

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PROBLEM SOLVING

by dell2 » Wed Jun 08, 2011 9:19 am
30% of major airline companies equip their planes with wireless internet access. 70% of major airlines offerpassengers free on-board snacks. What is the greatest possible percentage of major airline companies thatoffer both wireless internet and free on-board snacks?

A-21%
B-30%
C-40%
D-50%
E-70%
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by Frankenstein » Wed Jun 08, 2011 9:22 am
Hi,
It will be 30%.
Hence, B
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by dell2 » Wed Jun 08, 2011 9:23 am
But HOW ?
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by Frankenstein » Wed Jun 08, 2011 9:31 am
Hi,
A - set of companies that offer wireless internet access
B - set of airlines that offer passengers free on-board snacks
They are both independent i.e. one doesn't have any relation with the other. So, maximum value of intersection will be the smallest of the two sets.
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by dell2 » Wed Jun 08, 2011 9:36 am
Thanks Bro.
How much did you score in GMAT?
My exam is Due in AUGUST.
Any Suggestions/Advice Will be Much Appreciated :D
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by MBA.Aspirant » Wed Jun 08, 2011 9:45 am
I still don't get it..
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by Frankenstein » Wed Jun 08, 2011 9:52 am
MBA.Aspirant wrote:I still don't get it..
Hi,
The intersection of 2 sets is never more than each of the two sets right?
So, intersection can be maximum when the smaller set entirely lies in the bigger set i.e. One is the subset of the other. In this case, intersection is equal to the smaller set right?
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by rarns » Wed Jun 08, 2011 12:17 pm
Hi,

This problem requires almost no mathematical thought. If you start to diagram this you are already falling into a trap.

70% have characteristic X.
30% have characteristic Y.

It is possible to have both characteristics at the same time.

Given that, the greatest % that could have both would be if ALL 30% that have characteristic Y also have characteristic X.
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by cans » Wed Jun 08, 2011 7:43 pm
30% wireless, 70% snacks
max of both means, all the wireless also provide snacks
Thus 30%
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by [email protected] » Wed Jun 08, 2011 8:57 pm
OA - B i.e 30
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