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

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nalinnair
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If x and y are integers, what is the value of x? [#permalink] New post   22 May 2016, 22:53
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If \(x\) and \(y\) are integers, what is the value of \(x\)?

(1) \(xy = 1\)
(2) \(x\neq{-1}\)
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C
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OptimusPrepJanielle
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Re: If x and y are integers, what is the value of x? [#permalink] New post   22 May 2016, 23:59
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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
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Ndkms
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Re: If x and y are integers, what is the value of x? [#permalink] New post   20 Jan 2017, 09:49
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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
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Re: If x and y are integers, what is the value of x? [#permalink] New post   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
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Re: If x and y are integers, what is the value of x? [#permalink] New post   30 Jun 2021, 10:00
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nalinnair wrote:
If \(x\) and \(y\) are integers, what is the value of \(x\)?

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

Solution:

Question Stem Analysis:

We need to determine the value of x, given that x and y are integers.

Statement One Alone:

Since both x and y are integers, then both x and y are 1, or they both are -1, in order for xy = 1. However, since x can be either 1 or -1, statement one alone is not sufficient.

Statement Two Alone:

There are many integers whose values are not -1. Statement two alone is not sufficient.

Statements One and Two Together:

From statement one, we see that x is either 1 or -1. From statement two, we see that x is not -1. Therefore, x must be 1. Both statements together are sufficient.

Answer: C
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silaaan
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Re: If x and y are integers, what is the value of x? [#permalink] New post   08 Dec 2021, 06:16
what about 0? since 0 is also an integer.

If this is the case, then the answer is E. Correct?
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Re: If x and y are integers, what is the value of x? [#permalink] New post   21 Apr 2023, 03:23
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silaaan wrote:
If \(x\) and \(y\) are integers, what is the value of \(x\)?

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

what about 0? since 0 is also an integer.

If this is the case, then the answer is E. Correct?


Is 0 a solution to the equation xy = 1? Have you reviewed the previous discussion? Have you noticed that this is an official guide question?
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Re: If x and y are integers, what is the value of x? [#permalink]
21 Apr 2023, 03:23
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Bunuel
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