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

It is currently 19 Aug 2018, 00:42

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

If x/2 = 3/y, is x less than y? (1) y >= 3 (2) y <= 4

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47983
If x/2 = 3/y, is x less than y? (1) y >= 3 (2) y <= 4  [#permalink]

Show Tags

New post 13 Jul 2018, 04:35
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

87% (01:12) correct 13% (01:46) wrong based on 30 sessions

HideShow timer Statistics

BSchool Forum Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3044
Location: India
GPA: 3.12
Premium Member CAT Tests
If x/2 = 3/y, is x less than y? (1) y >= 3 (2) y <= 4  [#permalink]

Show Tags

New post 13 Jul 2018, 04:42
Bunuel wrote:
If x/2 = 3/y, is x less than y?

(1) y >= 3

(2) y <= 4


\(\frac{x}{2} = \frac{3}{y}\) can be re-written as xy = 6

1. If y >= 3, the minimum value that y can take is 3.
For that value, x will be 2. x will always be less than y (Sufficient)

2. If y <= 4, y could also take the value of 2.
In this case, the value of x will be 3 making x greater than y.
However, y will be greater than x when y = 3 and x = 2 (Insufficient) (Option A)
_________________

You've got what it takes, but it will take everything you've got

Director
Director
User avatar
G
Status: Learning stage
Joined: 01 Oct 2017
Posts: 507
WE: Supply Chain Management (Energy and Utilities)
Premium Member CAT Tests
If x/2 = 3/y, is x less than y? (1) y >= 3 (2) y <= 4  [#permalink]

Show Tags

New post 13 Jul 2018, 04:44
Bunuel wrote:
If x/2 = 3/y, is x less than y?

(1) y >= 3

(2) y <= 4



St1:- y >=3

when \(y_{min}=3\), then x=2. For every value of y>3, x would reduce further and it will be always less than y
so, x>y.
Sufficient.

St2:- y<=4

when y=3, then x=2; implies y>x
when y = 2, then x=3, implies x>y.
Insufficient.

Ans. (A)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Senior Manager
Senior Manager
User avatar
G
Joined: 31 Oct 2013
Posts: 479
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If x/2 = 3/y, is x less than y? (1) y >= 3 (2) y <= 4  [#permalink]

Show Tags

New post 13 Jul 2018, 04:49
Bunuel wrote:
If x/2 = 3/y, is x less than y?

(1) y >= 3

(2) y <= 4



Given

x/2 = 3/y

xy = 3*2

we are asked to determine which one is greater between x and y.


Statement 1 :

y >= 3.

As we already know that xy = 6 and y>=3, x has to be less than or equal to 2.

So, x<y. Sufficient.

Statement 2 :

y<=4

It means y could be 1 or 2 as well. As xy = 6 and y could be 1 or or 3 it is impossible to determine whether x or y is greater. NOT sufficient.

Thus the best answer is A.
Senior Manager
Senior Manager
User avatar
G
Joined: 14 Feb 2018
Posts: 381
Re: If x/2 = 3/y, is x less than y? (1) y >= 3 (2) y <= 4  [#permalink]

Show Tags

New post 13 Jul 2018, 05:05
Given, xy = 6.
1. y = 3, 4, 5...... Answer would be yes for all the following values.
Hence, sufficient.

2. y = 4, 3 answer would be yes. But if y = 2, x = 3. Thus, x>y. Thus, answer is no.

Hence, insufficient.

Thus, A is the answer.

Posted from my mobile device
Intern
Intern
User avatar
B
Joined: 18 Jun 2018
Posts: 37
Location: United States
Concentration: Finance, Healthcare
Re: If x/2 = 3/y, is x less than y? (1) y >= 3 (2) y <= 4  [#permalink]

Show Tags

New post 13 Jul 2018, 11:44
(1) y >= 3: min y value is 3 => x= 2 < 3 (sufficient)

(2) y <= 4: y could be negative or positive (insufficient)

Answer is A
Re: If x/2 = 3/y, is x less than y? (1) y >= 3 (2) y <= 4 &nbs [#permalink] 13 Jul 2018, 11:44
Display posts from previous: Sort by

If x/2 = 3/y, is x less than y? (1) y >= 3 (2) y <= 4

  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®.