GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 17 Nov 2018, 09:54

Join here

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Events & Promotions

Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• FREE Quant Workshop by e-GMAT!

November 18, 2018

November 18, 2018

07:00 AM PST

09:00 AM PST

Get personalized insights on how to achieve your Target Quant Score. November 18th, 7 AM PST
• How to QUICKLY Solve GMAT Questions - GMAT Club Chat

November 20, 2018

November 20, 2018

09:00 AM PST

10:00 AM PST

The reward for signing up with the registration form and attending the chat is: 6 free examPAL quizzes to practice your new skills after the chat.

M23-23

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50623

Show Tags

16 Sep 2014, 00:19
1
4
00:00

Difficulty:

65% (hard)

Question Stats:

64% (01:20) correct 36% (01:34) wrong based on 217 sessions

HideShow timer Statistics

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.

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 50623

Show Tags

16 Sep 2014, 00:19
1
1
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.

_________________
Intern
Joined: 29 May 2017
Posts: 2

Show Tags

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
Joined: 02 Sep 2009
Posts: 50623

Show Tags

06 Sep 2017, 03:20
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).
_________________
Manager
Joined: 21 Mar 2017
Posts: 141
Location: India
GMAT 1: 560 Q48 V20
WE: Other (Computer Software)

Show Tags

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.
_________________

--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
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
.

Math Expert
Joined: 02 Sep 2009
Posts: 50623

Show Tags

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
_________________
Intern
Joined: 24 Oct 2016
Posts: 29

Show Tags

02 Oct 2017, 19:29
This is a high quality question.

Posted from my mobile device
Intern
Joined: 22 Aug 2017
Posts: 1

Show Tags

22 Feb 2018, 07:38
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
Posts: 13

Show Tags

01 Sep 2018, 09:14
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 &nbs [#permalink] 01 Sep 2018, 09:14
Display posts from previous: Sort by

M23-23

Moderators: chetan2u, Bunuel

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.