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# M22-18

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Math Expert
Joined: 02 Sep 2009
Posts: 52231

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16 Sep 2014, 00:16
2
2
00:00

Difficulty:

25% (medium)

Question Stats:

74% (01:03) correct 26% (01:05) wrong based on 155 sessions

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If 50% of a factory's workers are not older than 30 years old, what percent of the factory workers are younger than 40 years old?

(1) 30% of the factory workers are older than 30 but younger than 40 years old

(2) 20% of the factory workers are at least 40 years old

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Math Expert
Joined: 02 Sep 2009
Posts: 52231

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16 Sep 2014, 00:16
Official Solution:

Statement (1) by itself is sufficient. The answer is $$50\% + 30\% = 80\%$$.

Statement (2) by itself is sufficient. The answer is $$100\% - 20\% = 80\%$$.

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Intern
Joined: 02 Feb 2011
Posts: 38

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15 Feb 2016, 08:05
Dear Bunuel /others

Just one doubt-
Second statement says 20% is atleast 40 so the rest of people can be 40 or >40 right.. or it can be <30 as well so how are we doing 100-20 percent?
Math Expert
Joined: 02 Aug 2009
Posts: 7198

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15 Feb 2016, 08:33
1
seemachandran wrote:
Dear Bunuel /others

Just one doubt-
Second statement says 20% is atleast 40 so the rest of people can be 40 or >40 right.. or it can be <30 as well so how are we doing 100-20 percent?

Hi,
the statement says 20% are atleast 40..
this means these 20% are 40 or>40...

Quote:
the rest of people can be 40 or >40 right

this would be the case, if the statement read..
atleast 20% are 40 years or more

hope it helps
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Intern
Joined: 02 Feb 2011
Posts: 38

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15 Feb 2016, 08:37
Thanks Chetan2u got a little confused.
Intern
Joined: 20 May 2016
Posts: 3

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18 Jul 2016, 20:57
As statement 1 tells there are older than 30 year and younger than 40 but there can be workers with edge of 30 year . why we are not considering it.
Math Expert
Joined: 02 Sep 2009
Posts: 52231

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18 Jul 2016, 23:07
anujsabre wrote:
As statement 1 tells there are older than 30 year and younger than 40 but there can be workers with edge of 30 year . why we are not considering it.

Those who are exactly 30 years old are included in 50% who are not older than 30 years old.
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Joined: 12 Oct 2012
Posts: 113
WE: General Management (Other)

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26 Nov 2016, 11:02
1
chetan2u wrote:
seemachandran wrote:
Dear Bunuel /others

Just one doubt-
Second statement says 20% is atleast 40 so the rest of people can be 40 or >40 right.. or it can be <30 as well so how are we doing 100-20 percent?

Hi,
the statement says 20% are atleast 40..
this means these 20% are 40 or>40...

Quote:
the rest of people can be 40 or >40 right

this would be the case, if the statement read..
atleast 20% are 40 years or more

hope it helps

Why did we add up in Statement 1? Please check my matrix and let me know where I am going wrong ?
>> !!!

You do not have the required permissions to view the files attached to this post.

Manager
Joined: 03 Jun 2015
Posts: 79

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03 Jul 2017, 11:46
Mbawarrior01 wrote:
chetan2u wrote:
seemachandran wrote:
Dear Bunuel /others

Just one doubt-
Second statement says 20% is atleast 40 so the rest of people can be 40 or >40 right.. or it can be <30 as well so how are we doing 100-20 percent?

Hi,
the statement says 20% are atleast 40..
this means these 20% are 40 or>40...

Quote:
the rest of people can be 40 or >40 right

this would be the case, if the statement read..
atleast 20% are 40 years or more

hope it helps

Why did we add up in Statement 1? Please check my matrix and let me know where I am going wrong ?

Hi Bunuel
I have the same doubt. Could you please clarify?
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Sortem sternit fortem!

Manager
Joined: 12 Jun 2016
Posts: 216
Location: India
WE: Sales (Telecommunications)

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08 Jul 2017, 08:56
2
The tricky thing here is the wording of the problem. I too got foxed in the first attempt. But, if we organize the data correctly - It becomes easier to "See" the answer. Please see the snapshot for details.

Attachment:
M22-18.png

Both statements are suff. Answer choice D
>> !!!

You do not have the required permissions to view the files attached to this post.

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My Best is yet to come!

Intern
Joined: 29 Oct 2016
Posts: 19
Location: India
GMAT 1: 700 Q49 V36
GPA: 3.84

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18 Jan 2018, 00:42
(1) by itself is sufficient. The answer is 50%+30%=80%50%+30%=80%.
(2) by itself is sufficient. The answer is 100%−20%=80%100%−20%=80%.
Intern
Joined: 22 Jul 2015
Posts: 12
Location: Kuwait
Concentration: Entrepreneurship, Technology
GMAT 1: 640 Q42 V35
GMAT 2: 670 Q48 V34
GMAT 3: 710 Q47 V41

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04 Jun 2018, 13:25
Mbawarrior01 wrote:
chetan2u wrote:
seemachandran wrote:
Dear Bunuel /others

Just one doubt-
Second statement says 20% is atleast 40 so the rest of people can be 40 or >40 right.. or it can be <30 as well so how are we doing 100-20 percent?

Hi,
the statement says 20% are atleast 40..
this means these 20% are 40 or>40...

Quote:
the rest of people can be 40 or >40 right

this would be the case, if the statement read..
atleast 20% are 40 years or more

hope it helps

Why did we add up in Statement 1? Please check my matrix and let me know where I am going wrong ?

Hi Bunuel can you please address this comment as I too have the same concern. I have come to rely tremendously on double set matrixes but I can not seem to figure out what is wrong with the above matrix - more specifically, how does statement 1 come up as sufficient if you use the double matrix. Thanks in advance.
Manager
Joined: 26 Feb 2018
Posts: 53
Location: India
GMAT 1: 560 Q41 V27
WE: Web Development (Computer Software)

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19 Jun 2018, 12:27
I think this is a high-quality question and I agree with explanation.
Re M22-18 &nbs [#permalink] 19 Jun 2018, 12:27
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# M22-18

Moderators: chetan2u, Bunuel

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