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D
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Of the apartments in a certain building, 75 have a balcony, 80 have a fireplace, and 30 have neither a balcony nor a fireplace. How many of the apartments in the building that have a balcony do not have a fireplace?
(1) There is a total of 150 apartments in the building.
(2) 35 of the apartments in the building that have a balcony also have a fireplace.
(1) There is a total of 150 apartments in the building.
(2) 35 of the apartments in the building that have a balcony also have a fireplace.
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09 Aug 2023, 21:23
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Bunuel
We can plot the information over a 2*2 matrix as shown below.
Each of the statements provides us with sufficient information to obtain the required information.
Option D
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31 Aug 2023, 07:37
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Bunuel
#Balcony = 75
#Fireplace = 80
#Neither = 30
We need to answer the question:
#Balcony & No-fireplace = ?
Statement One Alone:
=> There is a total of 150 apartments in the building.
Total = 150
#No-fireplace = Total - #Fireplace = 150 – 80 = 70
#Balcony & No-fireplace = #No-fireplace - #Neither = 70 – 30 = 40
Statement one is sufficient. Eliminate answer choices B, C, and E.
Statement Two Alone:
=> 35 of the apartments in the building that have a balcony also have a fireplace.
#Both = 35
#Balcony & No-fireplace = #Balcony - #Both = 75 – 35 = 40
Statement two is sufficient.
Answer: D
