NEW HERE? LEARN MORE
closeclose
It is currently 20 Apr 2024, 06:44
Register
GMAT Focus 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

Is x > y? (1) x/2 = y - 3 (2) y > 6

7 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Question banks

GMAT Question Banks

Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92762
CAT Tests Forum Quiz Mode
Is x > y? (1) x/2 = y - 3 (2) y > 6 [#permalink] New post  18 Sep 2019, 21:42
1
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

68% (01:28) correct 33% (01:22) wrong based on 79 sessions
Hide Show timer Statistics

Competition Mode Question



Is \(x > y\)?

(1) \(\frac{x}{2} = y-3\)

(2) \(y > 6\)
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
request expert reply
User avatar
P
EncounterGMAT
Senior Manager
Senior Manager
Joined: 10 Oct 2018
Status:Whatever it takes!
Posts: 323
GPA: 4
Re: Is x > y? (1) x/2 = y - 3 (2) y > 6 [#permalink] New post  Updated on: 18 Sep 2019, 23:23
1
Kudos
Is x>y?

(1) \(\frac{x}{2}\)=y−3
x=2y-6
x and y can be any number(positive or negative) or fraction.
If y=1, x=-4, is x>y? NO

If y=-2, x=-10, is x>y? NO

If y=8, x=10, is x>y? YES

Different answers possible. INSUFFICIENT!

(2) y>6
If y>6, then x could be anything. Different answers possible. INSUFFICIENT!

(1) + (2)
x=2y-6 and y>6

If y=8, x=10, is x>y? YES

If y=\(\frac{21}{2}\), x=15, is x>y? YES

If y=100, x=194, is x>y? YES

Twice the y less 6 would make x ALWAYS greater.
SUFFICIENT!

If y>6(any positive number or fraction greater than 6), x would always be greater and positive. Therefore answer is option C.

Posted from my mobile device

Originally posted by EncounterGMAT on 18 Sep 2019, 21:53.
Last edited by EncounterGMAT on 18 Sep 2019, 23:23, edited 1 time in total.
User avatar
P
ArtVandaley
Senior Manager
Senior Manager
Joined: 10 Sep 2013
Posts: 296
Location: India
Schools: Darden '23 Sloan '22
GMAT 1: 720 Q50 V38
GPA: 4
Re: Is x > y? (1) x/2 = y - 3 (2) y > 6 [#permalink] New post  18 Sep 2019, 22:19
1
Kudos
1
Bookmarks
A alone says nothing. For example for Y=4, X is 2(less than y) and for Y=8, X is 10(greater than y).

B alone says nothing as well.

Together they represent a set of points for which x>y

Hence c

Posted from my mobile device
User avatar
D
eakabuah
Retired Moderator
Joined: 18 May 2019
Posts: 785
GMAT ToolKit User
Re: Is x > y? (1) x/2 = y - 3 (2) y > 6 [#permalink] New post  18 Sep 2019, 22:54
1
Kudos
statement 1: x/2 = y-3 meaning x=2y-6. This is insufficient because y can take infinite values some which will be less than x while other possible values of y can be greater than x.

Statement 2: y>6. Clearly insufficient because no information is provided to enable us determine x.

1+2: sufficient because combining both statements means that all possible values of x will be greater than 6, hence we can conclusively stay that x>y.

The answer is C.
User avatar
P
shridhar786
Senior Manager
Senior Manager
Joined: 31 May 2018
Posts: 335
Location: United States
Concentration: Finance, Marketing
Re: Is x > y? (1) x/2 = y - 3 (2) y > 6 [#permalink] New post  18 Sep 2019, 23:47
1
Kudos
Is x > y ?

STATEMENT (1) - \(\frac{x}{2}\) = y-3

y = \(\frac{x+6}{2}\)
if x = 8 then y = 7---is x>y?---YES
if x = 5 then y = 5.5---is x>y?---NO

STATEMENT (2) - y>6
no information is given about x
so, INSUFFICIENT

combining both statements

x = 2y-6 and y>6

if y = 6.1 then x = 6.2 ---x>y
any value of y > 6 will yield value of x that will be > y

hence, Is x>y -- the answer is YES
SUFFICIENT

C is the correct answer
User avatar
L
unraveled
CEO
CEO
Joined: 07 Mar 2019
Posts: 2549
Location: India
WE:Sales (Energy and Utilities)
Re: Is x > y? (1) x/2 = y - 3 (2) y > 6 [#permalink] New post  19 Sep 2019, 00:20
Is x > y?

(1) \(\frac{x}{2} = y − 3\)
x = 0 → y = 3, x > y NO
x = 10 → y = 8, x > y YES
INSUFFICIENT.

(2) y > 6
No information about x.
INSUFFICIENT.

Together 1) and 2)
y = 6.1 → x = 6.2, x > y YES
y = 10 → x = 14, x > y YES

SUFFICIENT.

Answer (C).
_________________
Pain + Reflection = Progress | Ray Dalio
Good Books to read prior to MBA
Signature Read More
User avatar
D
exc4libur
SVP
SVP
Joined: 24 Nov 2016
Posts: 1720
Location: United States
Re: Is x > y? (1) x/2 = y - 3 (2) y > 6 [#permalink] New post  19 Sep 2019, 04:32
1
Bookmarks
Quote:
Is x>y?

(1) x/2=y−3
(2) y>6


(1) x/2=y-3…x-2y=-6…x=-6+2y; substitute, \(x>y…-6+2y>y…y>6\)? insufic.
(2) y>6: no info about \(x\), insufic.
(1&2) y>6, true, sufic.

Answer (C)
GMAT Club Bot
gmatclubot
Re: Is x > y? (1) x/2 = y - 3 (2) y > 6 [#permalink]
19 Sep 2019, 04:32
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderator:
Bunuel
Math Expert
92762 posts

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