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

 It is currently 10 Dec 2019, 05:41 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # If x/2 = 3/y, is x less than y? (1) y >= 3 (2) y <= 4

Author Message
TAGS:

### Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 59629
If x/2 = 3/y, is x less than y? (1) y >= 3 (2) y <= 4  [#permalink]

### Show Tags 00:00

Difficulty:   15% (low)

Question Stats: 77% (01:23) correct 23% (01:31) wrong based on 97 sessions

### HideShow timer Statistics

If x/2 = 3/y, is x less than y?

(1) y >= 3

(2) y <= 4

_________________
Senior PS Moderator V
Joined: 26 Feb 2016
Posts: 3302
Location: India
GPA: 3.12
If x/2 = 3/y, is x less than y? (1) y >= 3 (2) y <= 4  [#permalink]

### Show Tags

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  D
Status: Learning stage
Joined: 01 Oct 2017
Posts: 990
WE: Supply Chain Management (Energy and Utilities)
If x/2 = 3/y, is x less than y? (1) y >= 3 (2) y <= 4  [#permalink]

### Show Tags

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
VP  D
Joined: 31 Oct 2013
Posts: 1491
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

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  G
Joined: 14 Feb 2018
Posts: 386
Re: If x/2 = 3/y, is x less than y? (1) y >= 3 (2) y <= 4  [#permalink]

### Show Tags

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.

Posted from my mobile device
Rice (Jones) School Moderator P
Joined: 18 Jun 2018
Posts: 314
Location: United States (AZ)
Concentration: Finance, Healthcare
GMAT 1: 600 Q44 V28 GPA: 3.36
Re: If x/2 = 3/y, is x less than y? (1) y >= 3 (2) y <= 4  [#permalink]

### Show Tags

(1) y >= 3: min y value is 3 => x= 2 < 3 (sufficient)

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

Non-Human User Joined: 09 Sep 2013
Posts: 13739
Re: If x/2 = 3/y, is x less than y? (1) y >=3 (2)y<=4  [#permalink]

### Show Tags

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: If x/2 = 3/y, is x less than y? (1) y >=3 (2)y<=4   [#permalink] 27 Oct 2018, 02:15
Display posts from previous: Sort by

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