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

 It is currently 25 May 2019, 00:56

### 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

# Four dollar amounts w,x ,y, and z, were invested in a

Author Message
TAGS:

### Hide Tags

Manager
Joined: 03 Feb 2010
Posts: 60
Four dollar amounts w,x ,y, and z, were invested in a  [#permalink]

### Show Tags

15 Apr 2010, 12:19
1
11
00:00

Difficulty:

45% (medium)

Question Stats:

67% (01:24) correct 33% (01:20) wrong based on 230 sessions

### HideShow timer Statistics

Four dollar amounts w,x ,y, and z, were invested in a business. Which amount was greatest?

(1) y < z < x
(2) x was 25 percent of the total of the four investments.
CEO
Status: Nothing comes easy: neither do I want.
Joined: 12 Oct 2009
Posts: 2565
Location: Malaysia
Concentration: Technology, Entrepreneurship
Schools: ISB '15 (M)
GMAT 1: 670 Q49 V31
GMAT 2: 710 Q50 V35
Re: Four dollar amounts w,x ,y, and z, were invested. DS problem  [#permalink]

### Show Tags

16 Apr 2010, 01:51
2
ksharma12 wrote:
Four dollar amounts w,x ,y, and z, were invested in a business. Which amount was greatest?

1. y < z < x
2. x was 25 percent of the total of the four investments.

IMO C

Statement 1: is not sufficient as we dont know anything of w.

Statement 2 : alone not sufficient as we just know x = 1/4 of total.

but if we combine the both, since x = 1/4 of total that means we can distribute 3/4 among w, y and z. since y and z are both less than 1/4
that means y+z < 2/4
so x+y+z < 3/4 => w>1/4 of total, thus w is the greatest.

Thus C, both taken together are sufficient.
_________________
Fight for your dreams :For all those who fear from Verbal- lets give it a fight

Money Saved is the Money Earned

Jo Bole So Nihaal , Sat Shri Akaal

GMAT Club Premium Membership - big benefits and savings

Gmat test review :
http://gmatclub.com/forum/670-to-710-a-long-journey-without-destination-still-happy-141642.html
Intern
Joined: 24 Jun 2013
Posts: 1
Re: Four dollar amounts w,x ,y, and z, were invested in a  [#permalink]

### Show Tags

07 Aug 2014, 20:07
1
Quote:
Four dollar amounts w,x ,y, and z, were invested in a business. Which amount was greatest?

(1) y < z < x
(2) x was 25 percent of the total of the four investments.

Statement 1: not sufficent since we don't know about w
Statement 2: not sufficent since we only know about x

When combine the both, X was 25% of total, that meant "X was average of 4 numbers, in arithmetic mean". Therefore, if X was greater than Y and Z, so defenitely X would be less than W, or W was the greatest of four.

Intern
Joined: 10 Mar 2015
Posts: 38
Location: India
GMAT 1: 700 Q49 V37
GPA: 3.9
WE: Web Development (Computer Software)
Re: Four dollar amounts w,x ,y, and z, were invested in a  [#permalink]

### Show Tags

27 Aug 2015, 08:24
2
1
Now we see that
statement 1: y < z < x what about w? so this statement alone is not sufficient.
statement 2: x = 0.25(w+x+y+z). Even this statement lone is not sufficient.
Combining both,
x=0.25w + 0.25x + 0.25y + 0.25z
0.75x = 0.25(w+y+z)

now by equation 1, y<x and z<x
Therefore, y+z<2x
So 0.25(w+y+z) < 0.25(w+2x)
So 0.75x < 0.25(w+2x)
0.75x < 0.25w + 0.5x
0.25x<0.25w implies x<w.....so y < z < x < w

Please correct me if I am wrong.
Intern
Joined: 10 Oct 2014
Posts: 19
GPA: 3.47
Four dollar amounts w,x ,y, and z, were invested in a  [#permalink]

### Show Tags

01 Oct 2015, 19:14
Thanks for the explanation karthik. I keep forgetting you can add inequalities together.
Math Expert
Joined: 02 Sep 2009
Posts: 55271
Re: Four dollar amounts w,x ,y, and z, were invested in a  [#permalink]

### Show Tags

01 Oct 2015, 22:44
Thanks for the explanation karthik. I keep forgetting you can add inequalities together.

Check this: How to manipulate inequalities (adding, subtracting, squaring etc.).
_________________
Intern
Joined: 03 Dec 2017
Posts: 17
Re: Four dollar amounts w,x ,y, and z, were invested in a  [#permalink]

### Show Tags

09 Mar 2018, 04:38
The trick here is to realise what 25% of the total of four investments actually means.

x = 25% (x+y+z+w) = (x+y+z+w)/4 = average of the four investments. So ... by combining the statements we know what: x=average >z>y, thus ... w must be greater than the average for otherwise we could not have an average. It sounds complex but try to plug in values. Let's say ... x=average=100 and y=1 and z=2 ... or that y=98 and z=99 .... you will realise that in order to have an average of 100 .... we must add a value that is greater than the average ... hence w>average>100 = the greatest amount invested.

Cheers!
Non-Human User
Joined: 09 Sep 2013
Posts: 11012
Re: Four dollar amounts w,x ,y, and z, were invested in a  [#permalink]

### Show Tags

20 Mar 2019, 05:08
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: Four dollar amounts w,x ,y, and z, were invested in a   [#permalink] 20 Mar 2019, 05:08
Display posts from previous: Sort by