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Of the 150 houses in a certain society, 30% have a swimming pool, 60%
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14 Sep 2021, 21:21
14 Sep 2021, 21:21
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Of the 150 houses in a certain society, 30% have a swimming pool, 60% have central AC units, and 50% have a sunporch.
5 of the houses have all three and 5 have none of them.
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
5 of the houses have all three and 5 have none of them.
Quantity A |
Quantity B |
Houses that have exactly two of these amenities |
70 |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Retired Moderator
Joined: 19 Nov 2020
Posts: 326
Given Kudos: 64
GRE 1: Q160 V152
Of the 150 houses in a certain society, 30% have a swimming pool, 60%
[#permalink]
15 Sep 2021, 00:39
15 Sep 2021, 00:39
1
Let swimming pool=S, central AC=C and sunporch=P, then \(150=150(0.3+0.6+0.5)-2*5+5-(S+C+P)\), where \(S+C+P\) are houses that have exactly two of these amenities. \((45+90+75-10+5)-150=S+C+P\) and \(S+C+P=55\). Answer is B
KarunMendiratta wrote:
Of the 150 houses in a certain society, 30% have a swimming pool, 60% have central AC units, and 50% have a sunporch. 5 of the houses have all three and 5 have none of them.
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
Houses that have exactly two of these amenities |
70 |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Re: Of the 150 houses in a certain society, 30% have a swimming pool, 60%
[#permalink]
16 Mar 2026, 00:43
16 Mar 2026, 00:43
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Thanks to another GRE Prep 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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