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70% of the employees in a MNC hav VCD player, 75% have Ovens

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70% of the employees in a MNC hav VCD player, 75% have Ovens [#permalink] New post 03 Nov 2009, 22:00
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70% of the employees in a MNC hav VCD player, 75% have Ovens,80% have ACs, 85% have Washing machines. At least what % of employees has all 4 gadgets?
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Location: Tbilisi, Georgia
Schools: Stanford (in), Tuck (WL), Wharton (ding), Cornell (in)
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Re: Set theory problem [#permalink] New post 04 Nov 2009, 00:21
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1) How many have VCD and Ovens?

70% + 75% - 100% = 45%

2) How many have VCD, Ovens and ACs?

45% +80% - 100% = 25%

3) How many have all 4?

25% +85% - 100% = 10%

That's the answer
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Re: Set theory problem [#permalink] New post 22 Feb 2012, 12:53
v 70%
o 75%
a 80%
w 85%

min employees having o+v = 70-25 = 45 (for min case, assuming that 25 of those who don't possess 'o' possess 'v')

min employees having a+w = 80-15 = 65
min employees having all four = 45-35 = 10
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Re: Set theory problem   [#permalink] 22 Feb 2012, 12:53
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70% of the employees in a MNC hav VCD player, 75% have Ovens

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