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# A Town T has 40,000 residents, 25 percent of whom are age 60

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A Town T has 40,000 residents, 25 percent of whom are age 60  [#permalink]

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26 Feb 2012, 17:43
2
2
00:00

Difficulty:

25% (medium)

Question Stats:

78% (02:29) correct 22% (02:26) wrong based on 338 sessions

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A Town T has 40,000 residents, 25 percent of whom are age 60 or older. What percent of the residents are female?

(1) The number of female residents of Town T age 60 or older is 30 percent of the number of female residents who are not 60 or older.

(2) 37 percent of the residents of Town T are males who are not 60 or older.

I really struggle to solve these questions. Now for this I am trying to solve by using attached table but struggling. can you please help?

Attachments

Table.GIF [ 4.81 KiB | Viewed 5665 times ]

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Re: A Town T has 40,000 residents, 25 percent of whom are age 60  [#permalink]

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26 Feb 2012, 18:29
3
A Town T has 40,000 residents, 25 percent of whom are age 60 or older. What percent of the residents are female?

You can solve this problem with just reasoning but since you chose double-set matrix I'll proceed with it to show how it can be done. Given:
Attachment:

Stem.PNG [ 3.86 KiB | Viewed 5658 times ]
Numbers in black are given, numbers in red are calculated. We need to find the value of yellow box.

(1) The number of female residents of Town T age 60 or older is 30 percent of the number of female residents who are not 60 or older.
Attachment:

Statement 1.PNG [ 4.05 KiB | Viewed 5665 times ]
Not sufficient.

(2) 37 percent of the residents of Town T are males who are not 60 or older.
Attachment:

Statement 2.PNG [ 4.46 KiB | Viewed 5664 times ]
Not sufficient.

(1)+(2)
Attachment:

1+2.PNG [ 4.85 KiB | Viewed 5665 times ]
We know x=15200, hence we can get 1.3x. Sufficient.

Hope it helps.
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Re: A Town T has 40,000 residents, 25 percent of whom are age 60  [#permalink]

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28 Feb 2012, 17:31
Tough question. But i agree with bunuel.

To a closer look from 1 we have not informations about male; idem for the 2 where we have informations about male but not female.

C is correct.
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Re: A Town T has 40,000 residents, 25 percent of whom are age 60  [#permalink]

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11 Jun 2013, 07:27
Bumping for review and further discussion*. Get a kudos point for an alternative solution!

*New project from GMAT Club!!! Check HERE

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how-to-draw-a-venn-diagram-for-problems-98036.html

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A Town T has 40,000 residents, 25 percent of whom are age 60  [#permalink]

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16 Nov 2014, 05:33
You could skip calculating the figures. Tick the box/portion whose figure can be calculated.
Just something that helped me cut down the time i was using on overlapping sets (double matrix table, venn diagram) DS questions. Hope it helps someone else too
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Re: A Town T has 40,000 residents, 25 percent of whom are age 60  [#permalink]

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16 Nov 2014, 07:22
1 not giving any information about the total number of females . so data insufficient.

Hence A and D goes.

Now , from 2 statement we get this data: % of male below 60 = 37*40000/100
% of female below 60 = 15200
Still data insufficient
So D goes

Now, combine them
30*15200/100 gives the above 60 value. Hence we can find % with this.

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Re: A Town T has 40,000 residents, 25 percent of whom are age 60  [#permalink]

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25 Feb 2019, 12:23
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: A Town T has 40,000 residents, 25 percent of whom are age 60   [#permalink] 25 Feb 2019, 12:23
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