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

 It is currently 19 Mar 2019, 12:08

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

In the fraction x/y, where x and y are positive integers, what is the

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 53709
In the fraction x/y, where x and y are positive integers, what is the  [#permalink]

Show Tags

24 Dec 2017, 01:34
00:00

Difficulty:

25% (medium)

Question Stats:

83% (01:40) correct 17% (01:10) wrong based on 47 sessions

HideShow timer Statistics

In the fraction $$\frac{x}{y}$$, where $$x$$ and $$y$$ are positive integers, what is the value of $$y$$ ?

(1) $$\frac{x}{(y + 2)}$$ is an integer.

(2) $$x < 4$$

_________________
Retired Moderator
Joined: 25 Feb 2013
Posts: 1216
Location: India
GPA: 3.82
Re: In the fraction x/y, where x and y are positive integers, what is the  [#permalink]

Show Tags

24 Dec 2017, 03:52
Bunuel wrote:
In the fraction x/y, where x and y are positive integers, what is the value of y ?

(1) x/(y + 2) is an integer.
(2) x < 4

Statement 1: $$\frac{x}{(y+2)}=integer$$

$$=>y+2≤x =>y≤x-2$$. But we don't know the values of any variable. Insufficient

Statement 2: As $$x$$ is a positive integer, so possible values of $$x=1$$, $$2$$ & $$3$$. But nothing mentioned about $$y$$. Insufficient

Combining 1 & 2. as $$y$$ is positive integer $$x$$ has to be $$3$$ which means $$y=1$$. Sufficient

Option C
Manager
Joined: 05 Oct 2014
Posts: 51
Location: India
Concentration: General Management, Strategy
GMAT 1: 580 Q41 V28
GPA: 3.8
WE: Project Management (Energy and Utilities)
Re: In the fraction x/y, where x and y are positive integers, what is the  [#permalink]

Show Tags

24 Dec 2017, 06:55
Bunuel wrote:
In the fraction $$\frac{x}{y}$$, where $$x$$ and $$y$$ are positive integers, what is the value of $$y$$ ?

(1) $$\frac{x}{(y + 2)}$$ is an integer.

(2) $$x < 4$$

1. says x/(y+2) is an integer. that means x= (y+2)p + q ( p& q constant ).

Now, we don't know any condition for the equation to be true or
we dont the value of x or y. So INSUFFICIENT.
2. statement -2 gives a condition x<4 that means x can be 1, 2 or 3. INSUFFICIENT.

Combining 1 & 2 , we get

x = 1,2,3 only 3 satisfies .
Manager
Joined: 24 Nov 2016
Posts: 152
In the fraction x/y, where x and y are positive integers, what is the  [#permalink]

Show Tags

24 Dec 2017, 16:15
Bunuel wrote:
In the fraction $$\frac{x}{y}$$, where $$x$$ and $$y$$ are positive integers, what is the value of $$y$$ ?

(1) $$\frac{x}{(y + 2)}$$ is an integer.

(2) $$x < 4$$

(1) $$\frac{x}{(y + 2)}$$ is an integer. This only tells us that x is bigger than 2; insufficient.

(2) $$x < 4$$. This says that x = {1,2,3}, but says nothing about y..; insufficient.

(1) & (2).We know that 2 < x < 4, so x = 3 and y = 1 for statement (1) to be true; sufficient.

Non-Human User
Joined: 09 Sep 2013
Posts: 10141
Re: In the fraction x/y, where x and y are positive integers, what is the  [#permalink]

Show Tags

13 Mar 2019, 01:45
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: In the fraction x/y, where x and y are positive integers, what is the   [#permalink] 13 Mar 2019, 01:45
Display posts from previous: Sort by