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# In a senior citizens' club, are more than 1/4 of the members over 75

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Intern
Joined: 14 Sep 2017
Posts: 34
Location: Italy
In a senior citizens' club, are more than 1/4 of the members over 75  [#permalink]

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27 Oct 2017, 12:17
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Difficulty:

15% (low)

Question Stats:

86% (00:53) correct 14% (01:28) wrong based on 57 sessions

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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.
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Joined: 27 May 2014
Posts: 525
GMAT 1: 730 Q49 V41
Re: In a senior citizens' club, are more than 1/4 of the members over 75  [#permalink]

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27 Oct 2017, 18:50
(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 senior citizens' club, are more than 1/4 of the members over 75  [#permalink]

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27 Oct 2017, 19:40
(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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Location: India
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In a senior citizens' club, are more than 1/4 of the members over 75  [#permalink]

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27 Oct 2017, 19:41
Fedemaravilla wrote:
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 senior citizens' club, are more than 1/4 of the members over 75  [#permalink]

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07 Nov 2018, 02:44
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Re: In a senior citizens' club, are more than 1/4 of the members over 75 &nbs [#permalink] 07 Nov 2018, 02:44
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