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# M23-23

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Math Expert
Joined: 02 Sep 2009
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16 Sep 2014, 00:19
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Difficulty:

75% (hard)

Question Stats:

54% (01:32) correct 46% (01:40) wrong based on 46 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.
[Reveal] Spoiler: OA

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Math Expert
Joined: 02 Sep 2009
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16 Sep 2014, 00:19
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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, 03:16
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.
Math Expert
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06 Sep 2017, 03:20
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: 148
Location: India
GMAT 1: 560 Q48 V20
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10 Sep 2017, 00:14
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, 00:28
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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Joined: 24 Oct 2016
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02 Oct 2017, 19:29
This is a high quality question.

Posted from my mobile device
Re: M23-23   [#permalink] 02 Oct 2017, 19:29
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# M23-23

Moderators: chetan2u, Bunuel

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