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Mathematics 12 Online
OpenStudy (mathmath333):

Set theory

OpenStudy (mathmath333):

\(70\%\) of the employees in a multinational corporation have VCD players, \(75\) percent have microwave ovens, \(80\) percent have ACs and \(85\) percent have washing machines. At least what percentage of employees has all four gadgets? \(\large \color{black}{\begin{align} & a.)\ 15 \hspace{.33em}\\~\\ & b.)\ 5 \hspace{.33em}\\~\\ & c.)\ 10 \hspace{.33em}\\~\\ & d.)\ \text{cannot be dettermind} \hspace{.33em}\\~\\ \end{align}}\)

RhondaSommer (rhondasommer):

can you detirmine that with the info given?

OpenStudy (mathmath333):

no

RhondaSommer (rhondasommer):

then there is your answer :)

RhondaSommer (rhondasommer):

yup :)

RhondaSommer (rhondasommer):

it just gave you a bunch of numbers to throw you off

OpenStudy (mathmath333):

The answer given in bookk is \(\large 10\)

RhondaSommer (rhondasommer):

#YourBookIsWrongBecauseYouDontHaveEnoughInfo

OpenStudy (bahrom7893):

Draw a Venn Diagram

OpenStudy (mathmath333):

lol it is difficult to draw a venn diagram for sets more than 3.

OpenStudy (arindameducationusc):

hmmmm...

OpenStudy (arindameducationusc):

A long time I am not in touch but I think I agree with @RhondaSommer

OpenStudy (mathmath333):

But she didn't gave any concrete soln for \(\text{"cannot be determind"}\)

OpenStudy (mathstudent55):

Read the second solution. It is well explained. http://gmatclub.com/forum/70-of-the-employees-in-a-multinational-corporation-have-vcd-players-208187.html

OpenStudy (usukidoll):

we could've had Set a vcd players set b ovens set c acs set d washing machines. but the venn diagram.. aiyahhh all the crazy intersections everywhere

OpenStudy (usukidoll):

|dw:1454483092315:dw| but yeah 4 set diagrams are kind of ugly but the smallest intersection is there.

OpenStudy (mathmath333):

I have read that the above diagram of 4 sets in invalid.

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