GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
close
It is currently 27 Feb 2021, 05:05
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
New comers' posts

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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
If all variables are positive, is (w/x) > (y/z)?
6 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
Tags:
Find Similar Topics 

Show Tags
Hide Tags

User avatar
V
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 72165
CAT Tests Top Member of the Month
If all variables are positive, is (w/x) > (y/z)? [#permalink] New post  27 May 2018, 09:23
1
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

55% (hard)

Question Stats:

57% (01:38) correct 43% (01:20) wrong based on 63 sessions

Hide Show timer Statistics

If all variables are positive, is (w/x) > (y/z)?

(1) w = y + 50
(2) x = z + 50
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
New to the GMAT CLUB Forum?
Posting Rules: QUANTITATIVE | VERBAL. Guides and Resources: QUANTITATIVE | VERBAL | Ultimate GMAT Quantitative Megathread | All You Need for Quant

Questions' Banks and Collection:
PS: Standard deviation | Tough Problem Solving Questions With Solutions | Probability and Combinations Questions With Solutions | Tough and tricky exponents and roots questions | 12 Easy Pieces (or not?) | Bakers' Dozen | Algebra set | Mixed Questions | Fresh Meat
DS: DS Standard deviation | Inequalities | 700+ GMAT Data Sufficiency Questions With Explanations | Tough and tricky exponents and roots questions | The Discreet Charm of the DS | Devil's Dozen!!! | Number Properties set | New DS set
MIXED: GMAT Club's Complete Questions' Bank | SEVEN SAMURAI OF 2012 | Tricky questions from previous years. | Special Questions' Directory | Best Of The Best Of 2017 | The Best Of Quant of 2016 | 20 hardest and 20 best questions of 2015 | 15 best topics of 2015 | Seven Samurai of 2012 | GMAT Probability Questions

What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
User avatar
xalemsharan
Intern
Intern
Joined: 30 Jan 2018
Posts: 15
Re: If all variables are positive, is (w/x) > (y/z)? [#permalink] New post  27 May 2018, 10:16
Bunuel wrote:
If all variables are positive, is (w/x) > (y/z)?

(1) w = y + 50
(2) x = z + 50
Clearly each of the statements individually are not helpful in determining the inequality.
Combining both the equations,
Case 1: when y=z=1
Substituting the values, we get LHS=RHS=1, then LHS=RHS
Case 2: when y=1, z=2
Substituting the values, we get (51/52) and (1/2), then by cross multiplication we get LHS > RHS.
Hence, imo option E.

Thanks and regards,
Sharan Salem
_________________
Thanks and regards,
Sharan Salem
Signature Read More
User avatar
B
DhruvPatelD10
Intern
Intern
Joined: 21 Jan 2018
Posts: 48
Location: India
GPA: 2.85
WE:Consulting (Consulting)
Re: If all variables are positive, is (w/x) > (y/z)? [#permalink] New post  30 May 2018, 21:25
Bunuel wrote:
If all variables are positive, is (w/x) > (y/z)?

(1) w = y + 50
(2) x = z + 50


Option C

As we need to compare both Num. and Den. to reach to a conclusion.

\(\frac{a+X}{b+X} > \frac{a}{b}\)

Answer C
User avatar
S
Tulkin987
Manager
Manager
Joined: 28 Nov 2017
Posts: 134
Location: Uzbekistan
Re: If all variables are positive, is (w/x) > (y/z)? [#permalink] New post  30 May 2018, 21:45
Bunuel wrote:
If all variables are positive, is (w/x) > (y/z)?

(1) w = y + 50
(2) x = z + 50


Question: Is \(wz>xy\)?

(1) \((y+50)z>xy\). We don't know the values of \(x,y\) and \(z\). Not sufficient.

(2) \(wz>(z+50)y\). Again, we don't know the values of \(w,y\) and \(z\). Not sufficient.

Combined, we have \((y+50)z>(z+50)y\) or \(z>y\). Not sufficient.

Answer: E
_________________
Kindest Regards!
Tulkin.
Signature Read More
avatar
P
amanvermagmat
Retired Moderator
Joined: 21 Aug 2013
Posts: 1345
Location: India
Re: If all variables are positive, is (w/x) > (y/z)? [#permalink] New post  30 May 2018, 22:42
DhruvPatelD10 wrote:
Bunuel wrote:
If all variables are positive, is (w/x) > (y/z)?

(1) w = y + 50
(2) x = z + 50


Option C

As we need to compare both Num. and Den. to reach to a conclusion.

\(\frac{a+X}{b+X} > \frac{a}{b}\)

Answer C



Hello

Referring to the highlighted part - that only happens when a/b is a proper fraction (meaning if a < b).
But if we have a case where both x/y are positive and x > y THEN x/y will be greater than (x+50)/(y+50)
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 18279
Re: If all variables are positive, is (w/x) > (y/z)? [#permalink] New post  10 Oct 2019, 06:35
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.
_________________
GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources
Signature Read More
GMAT Club Bot
gmatclubot
[#permalink]
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
chetan2u
Math Expert
9497 posts
Bunuel
Math Expert
72165 posts
VeritasKarishma
Veritas Prep GMAT Instructor
11464 posts
GMATBusters
Retired Moderator
1978 posts
nick1816
DS Forum Moderator
2243 posts
Feedback

cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions