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

It is currently 21 Aug 2018, 15:18

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Currently, y percent of the members on the finance committee

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Veritas Prep GMAT Instructor
User avatar
P
Joined: 16 Oct 2010
Posts: 8204
Location: Pune, India
Re: Currently, y percent of the members on the finance committee  [#permalink]

Show Tags

New post 30 Dec 2017, 23:28
Shrish_nayak wrote:
VeritasPrepKarishma wrote:
jlgdr wrote:
Let's say that there are a total of 100 members
Let's also say that y = 50
So there are 50 men
Now z = 10 so 45 men are left
(45/95)*100 = 9/19 *100 = 900/19

Now let's plug answer choices
Target 900/19
Inputs
y=50
z=10

Only A gives the correct answer

Hope it helps
Cheers!
J :)


Yes, number plugging is the best choice here though I would take much easier numbers to reduce the time taken. Almost no calculations will be involved.

e.g. Say 50% are women i.e. y = 50 and say 100% of men will resign i.e. z = 100 so the correct option should give me 0. I see that z = 100 is not a problem because you don't have z - 100 anywhere in the denominators.
(A), (B) and (C) have z - 100 in the numerator so they will give us 0. (D) and (E) will not. So I will only worry about (A), (B) and (C).

Now say z = 50% i.e. the remaining men will be 25/75 = 1/3. Put z = 50 and y = 50 in (B) and (C) since they are simpler and you can just see what you will get without any calculations. Neither gives 33.33. Obviously, (A) will be the correct answer. You don't even need to plug in to check.

Answer (A)


Hello Karishma,

Unfortunately, I am not getting the correct answer. I tried the below:

total = 20 people
women = 10 men=10 z%=10

so 10*10/100=1 hence remaining men = 9

total is 9/19*100 = 900/19


A. 100(100−10)(100−10)
-------------------------- = 100*90*90/10000-900= 810000/9100 = 8100/91
100^2−10(100−10)

Can you help me where did I go wrong with this one? VeritasPrepKarishma

Best Regards,
Shrish


How are y and z both 10?
If you have assumed that there are total 20 people of which 10 are men and 10 are women, it means y = 50 (the percentage of women)
_________________

Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >

GMAT self-study has never been more personalized or more fun. Try ORION Free!

Intern
Intern
User avatar
Joined: 24 Jul 2018
Posts: 8
Currently, y percent of the members on the finance committee  [#permalink]

Show Tags

New post 02 Aug 2018, 19:22
u2lover wrote:
Currently, y percent of the members on the finance committee are women and next month, z percent of the men on the finance committee will resign. If no other personnel changes occur, then after the resignations next month, the men who remain on the finance committee will represent what percent of the total finance committee members?


A. \(\frac{100(100 - z)(100 - y)}{100^2 - z(100 - y)}\)

B. \(\frac{(100 - z)(100 - y)}{100}\)

C. \((100 - z)(100 - y)\)

D. \(\frac{zy}{100} - z\)

E. \(\frac{z(100 - y)}{100}\)


Came across this problem today. Plugging numbers in is obviously the fast method, but I'll leave an algebraic solution here in case someone's curious:

Note: Total refers to the whole committee.
Currently:
Women = y% of Total
Men = 1 - y% of Total

Next month:
z% of Men leave
=> 1 - z% of Men remain
=> (1 - z%)(1 - y%) of old Total remain

=> Number of men who remain divided by new Total:
(1 - z%)(1 - y%)/[y% + (1 - z%)(1 - y%)]

Multiply by 100/100:
Numerator = (100 - z)(100 - y)
Denominator = y + (100 - z)(1 - y%)

Continue multiplying by 100/100:
Numerator = 100(100 - z)(100 - y)
Denominator = 100y + (100 - z)(100 - y) = 100y + 100^2 - 100y - 100z + yz = 100^2 - 100z + yz = 100^2 - z(100 - y)

In form of fraction, we'll have:
\(\frac{100(100 - z)(100 - y)}{100^2 - z(100 - y)}\)

=> A
_________________

"Experts who acknowledge the full extent of their ignorance may expect to be replaced by more confident competitors, who are better able to gain the trust of clients. An unbiased appreciation of uncertainty is a cornerstone of rationality—but it is not what people and organizations want." - Daniel Kahnemen

Currently, y percent of the members on the finance committee &nbs [#permalink] 02 Aug 2018, 19:22

Go to page   Previous    1   2   [ 22 posts ] 

Display posts from previous: Sort by

Currently, y percent of the members on the finance committee

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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®.