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# M22-14

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Math Expert
Joined: 02 Sep 2009
Posts: 52187

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16 Sep 2014, 00:16
1
7
00:00

Difficulty:

75% (hard)

Question Stats:

58% (01:45) correct 42% (01:52) wrong based on 149 sessions

### HideShow timer Statistics

Out of 320 people, 75% like talk-show 1 and 65% of the people who like talk-show 1 also like talk-show 2. If there are no people who like talk-show 2 but do not like talk-show 1, how many of the 320 people do not like talk-show 2 ?

A. 72
B. 84
C. 120
D. 156
E. 164

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Math Expert
Joined: 02 Sep 2009
Posts: 52187

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16 Sep 2014, 00:16
Official Solution:

Out of 320 people, 75% like talk-show 1 and 65% of the people who like talk-show 1 also like talk-show 2. If there are no people who like talk-show 2 but do not like talk-show 1, how many of the 320 people do not like talk-show 2 ?

A. 72
B. 84
C. 120
D. 156
E. 164

The number of people who like talk-show 2 $$= 320*0.75*0.65 = 156$$. The number of people who do not like talk-show 2 $$= 320 - 156 = 164$$.

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Joined: 23 Jan 2013
Posts: 138
Concentration: Technology, Other
Schools: Berkeley Haas
GMAT Date: 01-14-2015
WE: Information Technology (Computer Software)

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26 Jan 2015, 19:01
Out of 320 people, 75% like talk-show 1 and 65% of the people who like talk-show 1 also like talk-show 2. If there are no people who like talk-show 2 but do not like talk-show 1, how many of the 320 people do not like talk-show 2

@Bunnel : I am not sure of my understanding but does the question ask to find X + 84 ?

Talk show 2 and Talk show 1 = 320*0.75*0.65 = 156.

Does this statement ' If there are no people who like talk-show 2 but do not like talk-show 1' mean people only liking talk show 2 = 0 ?
>> !!!

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Math Expert
Joined: 02 Sep 2009
Posts: 52187

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27 Jan 2015, 01:59
1
shelrod007 wrote:
Out of 320 people, 75% like talk-show 1 and 65% of the people who like talk-show 1 also like talk-show 2. If there are no people who like talk-show 2 but do not like talk-show 1, how many of the 320 people do not like talk-show 2

@Bunnel : I am not sure of my understanding but does the question ask to find X + 84 ?

Talk show 2 and Talk show 1 = 320*0.75*0.65 = 156.

Does this statement ' If there are no people who like talk-show 2 but do not like talk-show 1' mean people only liking talk show 2 = 0 ?

Check below:
>> !!!

You do not have the required permissions to view the files attached to this post.

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Joined: 08 Jun 2015
Posts: 432
Location: India
GMAT 1: 640 Q48 V29
GMAT 2: 700 Q48 V38
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11 Jan 2018, 09:12
1
+1 for option E
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Re: M22-14 &nbs [#permalink] 11 Jan 2018, 09:12
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# M22-14

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