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# In an apartment complex, 60% of the apartments contain at least one te

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Math Expert
Joined: 02 Sep 2009
Posts: 57280
In an apartment complex, 60% of the apartments contain at least one te  [#permalink]

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17 Jul 2019, 00:36
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Difficulty:

5% (low)

Question Stats:

90% (01:38) correct 10% (02:43) wrong based on 48 sessions

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In an apartment complex, 60% of the apartments contain at least one television, and 20% of these apartments are equipped with cable. If every apartment that is equipped with cable contains at least one television, what percent of the apartments in the complex are not equipped with cable?

(A) 8%

(B) 12%

(C) 16%

(D) 88%

(E) 92%

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Re: In an apartment complex, 60% of the apartments contain at least one te  [#permalink]

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17 Jul 2019, 01:12
1
Bunuel wrote:
In an apartment complex, 60% of the apartments contain at least one television, and 20% of these apartments are equipped with cable. If every apartment that is equipped with cable contains at least one television, what percent of the apartments in the complex are not equipped with cable?

(A) 8%

(B) 12%

(C) 16%

(D) 88%

(E) 92%

Apartments contain at least one television = 60%
Apartments are equipped with cable = 60% * 20% = 12%
Percent of the apartments in the complex are not equipped with cable = 100% - 12% =88%

IMO D
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Re: In an apartment complex, 60% of the apartments contain at least one te  [#permalink]

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17 Jul 2019, 07:27
Bunuel wrote:
In an apartment complex, 60% of the apartments contain at least one television, and 20% of these apartments are equipped with cable. If every apartment that is equipped with cable contains at least one television, what percent of the apartments in the complex are not equipped with cable?

(A) 8%

(B) 12%

(C) 16%

(D) 88%

(E) 92%

Number of houses = 100
At least one TV = 60
Cable = .2 * 60 = 12
12 have cable 88 don't
IMO D
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Re: In an apartment complex, 60% of the apartments contain at least one te  [#permalink]

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17 Jul 2019, 23:13
4
Let total count as 100
Apartments which have atleast one television set = 60% of 100 = 60
40 % are not equipped with TV sets or have more than one TV set but without cables
20 % are TV sets with cables so 20% of 60 = 12
now it is given in stem every apartment that is equipped with cable contains at least one television
the apartments in the complex are not equipped with cable = 60-12 + 40 = 88

Correct option D
Re: In an apartment complex, 60% of the apartments contain at least one te   [#permalink] 17 Jul 2019, 23:13
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