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

 It is currently 16 Oct 2019, 15:47

### 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

# If x and y are integers, what is the value of x?

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

### Hide Tags

Current Student
Status: Persevere
Joined: 09 Jan 2016
Posts: 117
Location: Hong Kong
GMAT 1: 750 Q50 V41
GPA: 3.52
If x and y are integers, what is the value of x?  [#permalink]

### Show Tags

22 May 2016, 22:53
1
16
00:00

Difficulty:

5% (low)

Question Stats:

77% (00:45) correct 23% (00:41) wrong based on 501 sessions

### HideShow timer Statistics

If $$x$$ and $$y$$ are integers, what is the value of $$x$$?

(1) $$xy = 1$$
(2) $$x\neq{-1}$$
SVP
Joined: 06 Nov 2014
Posts: 1873
Re: If x and y are integers, what is the value of x?  [#permalink]

### Show Tags

22 May 2016, 23:59
1
nalinnair wrote:
If $$x$$ and $$y$$ are integers, what is the value of $$x$$?

(1) $$xy = 1$$
(2) $$x\neq{-1}$$

We know that x and y are integers.

Statement 1: $$xy = 1$$
Case 1, x = 1 and y = 1
Case 2, x = - 1 and y = -1
INSUFFICIENT

Statement 2: $$x\neq{-1}$$
Nothing can be said about the value of x
INSUFFICIENT

Combining both statements:
We know that xy = 1 and x ≠ -1
Hence x = 1
SUFFICIENT

Correct Option: C
Manager
Joined: 09 Aug 2016
Posts: 62
Re: If x and y are integers, what is the value of x?  [#permalink]

### Show Tags

20 Jan 2017, 09:49
nalinnair wrote:
If $$x$$ and $$y$$ are integers, what is the value of $$x$$?

(1) $$xy = 1$$
(2) $$x\neq{-1}$$

(1) x*y = 1 and (x, y) = integers
Since x,y are integers the only integer pair that gives 1 as a product should be (1, 1) or (-1, -1) . Although since we cannot decide which pair fits our case insufficient

(2) Actually here if you now only $$x\neq{-1}$$
This is quite easy as both x and y can have any value insufficient

(1) + (2) Give the right answer hence C
Manager
Joined: 25 Mar 2013
Posts: 226
Location: United States
Concentration: Entrepreneurship, Marketing
GPA: 3.5
Re: If x and y are integers, what is the value of x?  [#permalink]

### Show Tags

23 Jan 2017, 09:40
x,y integers
value of x = ?
1, xy=1
(Negative)(Negative) = Positive
(Positive)(Positive) = Positive
x = -1 or x = 1
BCE
2, x # - 1
Eliminate B
Combine
x = 1, true
C
_________________
I welcome analysis on my posts and kudo +1 if helpful. It helps me to improve my craft.Thank you
Intern
Joined: 09 May 2017
Posts: 15
Location: India
GMAT 1: 610 Q42 V33
GPA: 4
WE: Engineering (Energy and Utilities)
Re: If x and y are integers, what is the value of x?  [#permalink]

### Show Tags

02 Jun 2018, 04:30
Ans C
St 1 : xy=1 this gives 2 cases (1,1) &(-1,-1). ambiguous and hence INSUFFICIENT.
St 2: x not equal -1 ....pick any integer except that... INSUFFICIENT.

Together : well together st 2 will diminish the ambiguity in st 1 and will lead to only one choice as x=1. Hence SUFFICIENT
Director
Joined: 19 Oct 2013
Posts: 518
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
Re: If x and y are integers, what is the value of x?  [#permalink]

### Show Tags

19 Oct 2018, 10:19
nalinnair wrote:
If $$x$$ and $$y$$ are integers, what is the value of $$x$$?

(1) $$xy = 1$$
(2) $$x\neq{-1}$$

Statement 1) tells us x and y must be of the same sign (-1)(-1) or (1) (1) so we cannot tell if x = 1 or -1.

Insufficient.

Eliminate A/D

Try statement 2) it tells us x cannot be -1

well then x can be anything else? so it is insufficient.

Eliminate B

now try combining statement (1) and (2)

we get that x cannot be -1 then x must be 1.

Sufficient.

VP
Joined: 31 Oct 2013
Posts: 1469
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If x and y are integers, what is the value of x?  [#permalink]

### Show Tags

22 Oct 2018, 13:58
nalinnair wrote:
If $$x$$ and $$y$$ are integers, what is the value of $$x$$?

(1) $$xy = 1$$
(2) $$x\neq{-1}$$

Given,

x and y are integers.

Statement 1:

xy = 1

x = 1

y = 1

or

x = -1

y = -1

So, we don't have the specific value for x.

NOT sufficient.

Statement 2:

x is not equal to -1.

infinite values for x except -1.

NOT sufficient.

Combining both statements;

Now we know from 1 that x is either 1 or -1. statement 2 helps to +1.

The best answer is C.
SVP
Joined: 03 Jun 2019
Posts: 1691
Location: India
Re: If x and y are integers, what is the value of x?  [#permalink]

### Show Tags

16 Sep 2019, 04:49
nalinnair wrote:
If $$x$$ and $$y$$ are integers, what is the value of $$x$$?

(1) $$xy = 1$$
(2) $$x\neq{-1}$$

If $$x$$ and $$y$$ are integers, what is the value of $$x$$?

(1) $$xy = 1$$
(x,y)={(1,1),(-1,-1)}
NOT SUFFICIENT

(2) $$x\neq{-1}$$
Value of x is unknown
NOT SUFFICIENT

(1) + (2)
(1) $$xy = 1$$
(x,y)={(1,1),(-1,-1)}
(2) $$x\neq{-1}$$
(x,y) = (1,1)
x = 1
SUFFICIENT

IMO C
_________________
"Success is not final; failure is not fatal: It is the courage to continue that counts."

Please provide kudos if you like my post. Kudos encourage active discussions.

My GMAT Resources: -

Efficient Learning
All you need to know about GMAT quant

Tele: +91-11-40396815
Mobile : +91-9910661622
E-mail : kinshook.chaturvedi@gmail.com
Re: If x and y are integers, what is the value of x?   [#permalink] 16 Sep 2019, 04:49
Display posts from previous: Sort by

# If x and y are integers, what is the value of x?

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

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