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16 Sep 2014, 01:16
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Out of 320 people surveyed, 75% like Talk-Show A. Of those who like Talk-Show A, 65% also like Talk-Show B. If there are no people who like Talk-Show B but do not like Talk-Show A, how many of the 320 people do not like Talk-Show B?
A. 72
B. 84
C. 120
D. 156
E. 164
A. 72
B. 84
C. 120
D. 156
E. 164
16 Sep 2014, 01:16
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Official Solution:
Out of 320 people surveyed, 75% like Talk-Show A. Of those who like Talk-Show A, 65% also like Talk-Show B. If there are no people who like Talk-Show B but do not like Talk-Show A, how many of the 320 people do not like Talk-Show B?
A. 72
B. 84
C. 120
D. 156
E. 164
People who like Talk-Show A = 75% of 320 = 240.
People who like both A and B = 65% of 240 = 156. Given that there are no people who like Talk-Show B but do not like Talk-Show A, those 156 people are the total who like Talk-Show B. Essentially, "there are no people who like Talk-Show B but do not like Talk-Show A" implies that B is a subset of A.
Therefore, people who don't like Talk-Show B = Total - People who like Talk-Show B = 320 - 156 = 164.
Answer: E
Out of 320 people surveyed, 75% like Talk-Show A. Of those who like Talk-Show A, 65% also like Talk-Show B. If there are no people who like Talk-Show B but do not like Talk-Show A, how many of the 320 people do not like Talk-Show B?
A. 72
B. 84
C. 120
D. 156
E. 164
People who like Talk-Show A = 75% of 320 = 240.
People who like both A and B = 65% of 240 = 156. Given that there are no people who like Talk-Show B but do not like Talk-Show A, those 156 people are the total who like Talk-Show B. Essentially, "there are no people who like Talk-Show B but do not like Talk-Show A" implies that B is a subset of A.
Therefore, people who don't like Talk-Show B = Total - People who like Talk-Show B = 320 - 156 = 164.
Answer: E
shelrod007
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Concentration: Technology, Other
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GMAT Date: 01-14-2015
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26 Jan 2015, 20:01
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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 ?
@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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