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M23-23

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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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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.


Answer: C
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Re: M23-23 [#permalink]

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New post 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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New post 06 Sep 2017, 04:20
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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Re: M23-23 [#permalink]

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New post 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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New post 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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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: M23-23 [#permalink]

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New post 02 Oct 2017, 20:29
This is a high quality question.

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Re: M23-23   [#permalink] 02 Oct 2017, 20:29
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