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In a certain senior citizens club, are more than 1/4 of the members

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In a certain senior citizens club, are more than 1/4 of the members [#permalink] In a certain senior citizens club, are more than 1/4 of the members   27 Oct 2017, 13:17
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In a certain senior citizens’ club, are more than 1/4 of the members over 75 years of age?

(1) Exactly 60 percent of the female members are over 60 years of age, and, of these, 1/3 are over 75 years of age.
(2) Exactly 10 male members are over 75 years of age.
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Re: In a certain senior citizens club, are more than 1/4 of the members [#permalink] In a certain senior citizens club, are more than 1/4 of the members   27 Oct 2017, 19:50
(1) Exactly 60 percent of the female members are over 60 years of age, and, of these, 1/3 are over 75 years of age:

1/3 of 60% i.e. 20% females are 75+. However, no information about what percentage are female members of overall number. Insuff.

(2) Exactly 10 male members are over 75 years of age:

Again no information about what percentage are the 10 males members of overall number. Insuff.

(1) & (2) together,
Still the overall number is unknown. Insuff.

Ans: E.
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Re: In a certain senior citizens club, are more than 1/4 of the members [#permalink] In a certain senior citizens club, are more than 1/4 of the members   27 Oct 2017, 20:40
(1) Exactly 60 % of the female members are over 60 years of age, and, of these, 1/3 rd are over 75 years of age:
3 3
1/3 of 60% i.e. 20% females are 75+. However,there is no information regarding what percentage are female members of overall number. Insuff.

(2) Exactly 10 male members are over 75 years of age:

Again there isno information about what percentage are the 10 males members of overall number. Insuff.

(1) & (2) together are not sufficient ti answer the question.
The overall number is unknown. Insuff.

Ans: E.
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Re: In a certain senior citizens club, are more than 1/4 of the members [#permalink] In a certain senior citizens club, are more than 1/4 of the members   27 Oct 2017, 20:41
Fedemaravilla
In a senior citizens' club, are more than 1/4 of the members over 75 years age?

(1) Exactly 60 percent of the female members are over 60 years of age, and, of these, 1/3 are pver 75 years of age.
(2) Exactly 10 male members are over 75 years of age.

Let there be x males and y females

Statement 1: females over the age of 60 \(= 60%*y=0.6y\)

female over 75 \(= \frac{1}{3}*0.6y=0.2y\)

but we don't know the value of \(x\) & \(y\). Hence Insufficient

Statement 2: males over 75 \(=10\) but nothing mentioned about female. Hence Insufficient

Combining 1 & 2 we have no of member over 75 years \(= 0.2y+10\). but we don't know about \(y\). Hence Insufficient

Option E
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Re: In a certain senior citizens club, are more than 1/4 of the members [#permalink] In a certain senior citizens club, are more than 1/4 of the members   19 Oct 2022, 01:24
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Re: In a certain senior citizens club, are more than 1/4 of the members [#permalink]
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