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# M23-23

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Math Expert
Joined: 02 Sep 2009
Posts: 55266

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16 Sep 2014, 01:19
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Difficulty:

65% (hard)

Question Stats:

63% (01:22) correct 37% (01:32) wrong based on 238 sessions

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If 25% of a company's employees are women older than 30, what percent of the men employees are 30 or younger?

(1) Half of the women employees are 30 or younger.

(2) 35% of the company's employees are men of 30 or younger.

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Joined: 02 Sep 2009
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16 Sep 2014, 01:19
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Official Solution:

Say there are total of 100 employees. So, we have that 25 women are older than 30.

(1) Half of the women employees are 30 or younger. Hence, another half of the women employees are older than 30. So, 25 women which are older than 30, account for half of the women employees, which means that there are $$2*25=50$$ women employees and $$100-50=50$$ men employees. But we still don't know how many from these 50 men are 30 or younger. Not sufficient.

(2) 35% of the company's employees are men of 30 or younger. Hence, there 35 men who are 30 or younger. We still don't know the total number of men employees. Not sufficient.

(1)+(2) From (1) we have that there are total of 50 men employees and from (2) we have that 35 men are 30 or younger, so $$\frac{35}{50}*100=70 \%$$ of the men employees are 30 or younger. Sufficient.

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Joined: 29 May 2017
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06 Sep 2017, 04:16
This question is low quality." what percent of the men employees are 30 or younger" it mean that total men 30 or younger/ total employees or total men 30 or younger / total men. Not quite clear IMO.
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Joined: 02 Sep 2009
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06 Sep 2017, 04:20
1
thaihoang305_gmat wrote:
This question is low quality." what percent of the men employees are 30 or younger" it mean that total men 30 or younger/ total employees or total men 30 or younger / total men. Not quite clear IMO.

Mathematically and logically "what percent of the men employees are 30 or younger?" can only mean (the number of men who are 30 or younger)/(the total number of men).
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Joined: 21 Mar 2017
Posts: 137
Location: India
GMAT 1: 560 Q48 V20
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10 Sep 2017, 01:14
Hello Bunuel,

Could you please provide some more question with the same trap of 2*2 matrix?
I thought the second statement is sufficient enough but I agree with the explanation.
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When nothing seem to help, I would go and look at a Stonecutter hammering away at his rock perhaps a hundred time without as much as a crack showing in it.
Yet at the hundred and first blow it would split in two.
And I knew it was not that blow that did it, But all that had gone Before
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10 Sep 2017, 01:28
Prashant10692 wrote:
Hello Bunuel,

Could you please provide some more question with the same trap of 2*2 matrix?
I thought the second statement is sufficient enough but I agree with the explanation.

Was not able to recall any similar question but you can search using our search tool: https://gmatclub.com/forum/search.php?view=search_tags
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02 Oct 2017, 20:29
This is a high quality question.

Posted from my mobile device
Intern
Joined: 22 Aug 2017
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22 Feb 2018, 08:38
Hi Bunnel,

As you explained ''Mathematically and logically "what percent of the men employees are 30 or younger?" can only mean (the number of men who are 30 or younger)/(the total number of men).''

However in the Answer you assume ''Say there are total of 100 employees. So, we have that 25 women are older than 30.'' to respond the the Question info ''If 25% of a company's employees are women older than 30'' . So 25% out of 100 = 25 Female older than 30. Why can't the wording in statement (2) means that 35% of the company's employees are men younger than 30.

--> So how to avoid wording trap like this? Shall we say when the info is given ''the company's emp

Thanks
Intern
Joined: 27 Aug 2018
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01 Sep 2018, 10:14
totochan124 wrote:
Hi Bunnel,

As you explained ''Mathematically and logically "what percent of the men employees are 30 or younger?" can only mean (the number of men who are 30 or younger)/(the total number of men).''

However in the Answer you assume ''Say there are total of 100 employees. So, we have that 25 women are older than 30.'' to respond the the Question info ''If 25% of a company's employees are women older than 30'' . So 25% out of 100 = 25 Female older than 30. Why can't the wording in statement (2) means that 35% of the company's employees are men younger than 30.

--> So how to avoid wording trap like this? Shall we say when the info is given ''the company's emp

Thanks

Hi totochan124, I can reply to your question -- we can say that 35% of the company's male employees are under 30. But the question is asking what percent of MALE employees are under 30, not what percent of COMPANY employees are males under 30. To answer what the question is asking, we need to know the percent of males in the company so we can get (35% of company males under 30)/(% of male employees in company) = X% of male employees are under 30. With (1) we learn that 50% of employees are male, so (35% of company males under 30)/50(% of male employees in company)=70% of male employees are under 30.
M23-23   [#permalink] 01 Sep 2018, 10:14
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# M23-23

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