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# Of the 600 residents of Clermontville, 35% watch the

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Director
Joined: 10 Feb 2006
Posts: 631
Of the 600 residents of Clermontville, 35% watch the  [#permalink]

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20 Jul 2006, 09:16
45. Of the 600 residents of Clermontville, 35% watch the television show Island Survival, 40% watch Lovelost Lawyers and 50% watch Medical Emergency. If all residents watch at least one of these three shows and 18% watch exactly 2 of these shows, then how many Clermontville residents watch all of the shows?

(A) 150
(B) 108
(C) 42
(D) 21
(E) -21

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VP
Joined: 25 Nov 2004
Posts: 1427

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20 Jul 2006, 09:46
D. E is absurd.

x = no of people who watches all 3 programs

600 = 35% of 600 + 40% of 600 + 50% of 600 - 18% of 600 - (2x)
x = (750 - 600 - 108)/2
x = 21
Intern
Joined: 20 Jun 2005
Posts: 27
Location: Santa Clara

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20 Jul 2006, 17:37
1
Why 2x? isnt it just x?
VP
Joined: 25 Nov 2004
Posts: 1427

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20 Jul 2006, 19:48
rajiv_av wrote:
Why 2x? isnt it just x?

you count x (all) thrice instead of twice. so 2x needs to be taken out..
SVP
Joined: 30 Mar 2006
Posts: 1661

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20 Jul 2006, 22:06
600 = 210 + 240 + 300 - 108 - 2x

-42 = -2x
x = 21

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Re: Of the 600 residents of Clermontville, 35% watch the  [#permalink]

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07 Jan 2019, 07:56
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Of the 600 residents of Clermontville, 35% watch the &nbs [#permalink] 07 Jan 2019, 07:56
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