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# In a professionals’ club, are more than (1/3)rd of the members mechani

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Math Expert
Joined: 02 Sep 2009
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In a professionals’ club, are more than (1/3)rd of the members mechani  [#permalink]

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16 Oct 2018, 23:35
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Difficulty:

95% (hard)

Question Stats:

30% (01:40) correct 70% (01:47) wrong based on 86 sessions

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In a professionals’ club, are more than (1/3)rd of the members mechanical engineers? Only those who are engineers can be mechanical engineers.

(1) Exactly 75 percent of the female members are engineers, and, of them, (1/3)rd are mechanical engineers.

(2) Exactly 30 percent of the male members are engineers.

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In a professionals’ club, are more than (1/3)rd of the members mechani  [#permalink]

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18 Oct 2018, 03:40
1
Bunuel wrote:
In a professionals’ club, are more than (1/3)rd of the members mechanical engineers? Only those who are engineers can be mechanical engineers.

(1) Exactly 75 percent of the female members are engineers, and, of them, (1/3)rd are mechanical engineers.

(2) Exactly 30 percent of the male members are engineers.

Please see the explanation in attachment.

Also, Please find a video solution

Attachments

File comment: www.GMATinsight.com

Screenshot 2018-10-18 at 5.07.44 PM.png [ 558.94 KiB | Viewed 463 times ]

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In a professionals’ club, are more than (1/3)rd of the members mechani  [#permalink]

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19 Oct 2018, 22:20
GMATinsight Did not quite understand how the % of total Mechanical Engineers would fall between 0.25 <x< 0.30.

Could you please explain? I believe this is a fundamental concept, so would appreciate if you could please provide the concept as well.

Thanks
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Re: In a professionals’ club, are more than (1/3)rd of the members mechani  [#permalink]

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20 Oct 2018, 06:33
Payal259 wrote:
GMATinsight Did not quite understand how the % of total Mechanical Engineers would fall between 0.25 <x< 0.30.

Could you please explain? I believe this is a fundamental concept, so would appreciate if you could please provide the concept as well.

Thanks

Hi Payal259 ,

It's a simple rule of mixtures that if a 10% and 20% alcohol solutions are mixed than resultant will have alcohol percentage between 10% and 20% depending upon the quantities

Similarly 25% of Men and 30% of women can form only a 25 to 30% of entire population (Men + women)

I hope this helps!!! If still not clear, then I can substantiate further... let me know...
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Re: In a professionals’ club, are more than (1/3)rd of the members mechani  [#permalink]

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20 Oct 2018, 08:24
Another great video explanation. Thanks GMATinsight
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Re: In a professionals’ club, are more than (1/3)rd of the members mechani  [#permalink]

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20 Oct 2018, 20:48
ShankSouljaBoi wrote:
Another great video explanation. Thanks GMATinsight

Thank you so much ShankSouljaBoi for appreciating the video explanation. It encourages me to make more such videos and post for benefit of all forum members.
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Re: In a professionals’ club, are more than (1/3)rd of the members mechani   [#permalink] 20 Oct 2018, 20:48
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