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In a 200 member club consisting of men and women, exactly 20% of men
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09 Sep 2021, 09:56
09 Sep 2021, 09:56
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Question Stats:
25% (02:20) correct
74% (02:01) wrong based on 79 sessions
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In a 200 member club consisting of men and women, exactly 20% of men and exactly 25 % women are homeowners.
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 |
Least number of members who are homeowners |
41 |
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
In a 200 member club consisting of men and women, exactly 20% of men
[#permalink]
09 Sep 2021, 12:09
09 Sep 2021, 12:09
1
2
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edited:
Let men = \(M\) and women = \(W\), then the least number of homeowners is defined as the minimum of \(M/5+W/4\), where \(M+W=200\).
The denominator of \(20\) in \(\frac{4M+5W}{20}\) implies that for every 20 club members there can be either 5 men or 4 women owning homes. Thus, for 200 club members, the least number of homeowners would be 5 women out of 20 club members and \(180/5=36\) men as the total minimum required equal to 41.
Quantity A: 41
Quantity B: 41
answer is C
Let men = \(M\) and women = \(W\), then the least number of homeowners is defined as the minimum of \(M/5+W/4\), where \(M+W=200\).
The denominator of \(20\) in \(\frac{4M+5W}{20}\) implies that for every 20 club members there can be either 5 men or 4 women owning homes. Thus, for 200 club members, the least number of homeowners would be 5 women out of 20 club members and \(180/5=36\) men as the total minimum required equal to 41.
Quantity A: 41
Quantity B: 41
answer is C
KarunMendiratta wrote:
In a 200 member club consisting of men and women, exactly 20% of men and exactly 25 % women are homeowners.
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 |
Least number of members who are homeowners |
41 |
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: In a 200 member club consisting of men and women, exactly 20% of men
[#permalink]
30 Dec 2024, 08:19
30 Dec 2024, 08:19
Carcass pls provide an explanation for the above problem, quite unique question I find this one
