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In a town

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In a town [#permalink] New post 20 Jun 2017, 13:27
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Question Stats:

80% (02:20) correct 20% (03:25) wrong based on 5 sessions
In a town, 25% families own a phone and 15% own a car, 65% families own neither a phone nor a car. 2000 families own both a car and a phone. Consider the following statements in this regard:

I. 10% families own both a car and a phone.

II. 35% families own either a car or a phone.

III. 40,000 families live in the town.

Which of the above statements are correct?

A) only I

B) II and III

C) only III

D) I and III

E) only II
[Reveal] Spoiler: OA

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Last edited by pranab01 on 31 Jul 2017, 10:10, edited 4 times in total.
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Re: In a town [#permalink] New post 20 Jun 2017, 14:36
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Expert's post
Look at the venn diagram and find value of x.

Attachment:
New Bitmap Image.jpg
New Bitmap Image.jpg [ 65.83 KiB | Viewed 607 times ]


Clearly \(25-x + 15 - x + x+65 = 100\)
So x = 5%.

So if 5% of population is 2000. The population is 40000.
Also (25- x + 15 -x )% own either phone or car so 30% own phone or car!

Hence option C is correct!

Please share the source of the question.
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Re: In a town   [#permalink] 20 Jun 2017, 14:36
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In a town

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