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Is x- 2xy + y = 0?

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Is x- 2xy + y = 0?  [#permalink]

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New post 11 Oct 2016, 02:16
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

63% (01:39) correct 37% (02:39) wrong based on 103 sessions

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Re: Is x- 2xy + y = 0?  [#permalink]

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New post 11 Oct 2016, 04:54
Bunuel wrote:
Is x- 2xy + y = 0?

(1) Neither x nor y is an odd integer.

(2) Neither x nor y is a prime integer.


We don't have any information in the question stem about x and y.

Stat 1: x and y can be even, prime,irrational or rational etc...Insufficient.

Stat 2: x and y can be odd,even,irrational etc...insufficient.

Both : We still don't have clear cut information.

IMO option E.
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Is x- 2xy + y = 0?  [#permalink]

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New post 11 Oct 2016, 07:23
Bunuel wrote:
Is x- 2xy + y = 0?

(1) Neither x nor y is an odd integer.

(2) Neither x nor y is a prime integer.


I believe answer should be E.

Statement 1 : X and Y could be 0, which will make the answer YES and for other, the answer will be NO. INSUFFICIENT
Statement 2 : This could mean x = y = 1 is also valid. Hence, We may get 0 here.

EDITED : Realized that X and Y could both be 0 Also. So, Statement 1 is also not sufficient.
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Is x- 2xy + y = 0?  [#permalink]

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New post Updated on: 11 Oct 2016, 08:37
1
Bunuel wrote:
Is x- 2xy + y = 0?

(1) Neither x nor y is an odd integer.

(2) Neither x nor y is a prime integer.


Statement 1: x & y are not odd integers.

Means they can be anything but odd integers.

If x = 0 & y = 0 as "0" is an even integer answer to the question is YES i.e., \(x- 2xy + y = 0\)

If x = 2 & y = 0, answer to the question is NO i.e., \(x- 2xy + y\neq {0}\)

Not sufficient. (Fractions can also be tried)

Statement 2:

Again we can try x & y = 0 as "0" is not prime and answer to the question is YES. \(x- 2xy + y = 0\)

Try x = 1 & y = 0 , answer to the question is NO. \(x- 2xy + y\neq {0}\)

Not Sufficient

Combining 1 & 2 "x & y are neither prime nor odd"

If x = 0 & y = 0 as "0" is an even integer answer to the question is YES i.e., \(x- 2xy + y = 0\)

x = 4 & y = 4, answer to the question is NO. \(x- 2xy + y\neq {0}\)

IMO (E)
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Originally posted by AkshdeepS on 11 Oct 2016, 07:57.
Last edited by AkshdeepS on 11 Oct 2016, 08:37, edited 2 times in total.
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Re: Is x- 2xy + y = 0?  [#permalink]

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New post 11 Oct 2016, 07:58
abhimahna wrote:
msk0657 wrote:
Bunuel wrote:
Is x- 2xy + y = 0?

(1) Neither x nor y is an odd integer.

(2) Neither x nor y is a prime integer.


We don't have any information in the question stem about x and y.

Stat 1: x and y can be even, prime,irrational or rational etc...Insufficient.

Stat 2: x and y can be odd,even,irrational etc...insufficient.

Both : We still don't have clear cut information.

IMO option E.


I believe answer should be A.

Statement 1 : Whatever the value of x and y be except 1, I believe we will never get a 0 for the given equation. Be it a even, prime, rational, irrational, etc.

Statement 2 : This could mean x = y = 1 is also valid. Hence, We may get 0 here.


For statement 1:

x=y=0 will also give a Yes

I think answer is E


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Re: Is x- 2xy + y = 0?  [#permalink]

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New post 11 Oct 2016, 08:08
abhimahna wrote:
msk0657 wrote:
Bunuel wrote:
Is x- 2xy + y = 0?

(1) Neither x nor y is an odd integer.

(2) Neither x nor y is a prime integer.


We don't have any information in the question stem about x and y.

Stat 1: x and y can be even, prime,irrational or rational etc...Insufficient.

Stat 2: x and y can be odd,even,irrational etc...insufficient.

Both : We still don't have clear cut information.

IMO option E.


I believe answer should be A.

Statement 1 : Whatever the value of x and y be except 1, I believe we will never get a 0 for the given equation. Be it a even, prime, rational, irrational, etc.

Statement 2 : This could mean x = y = 1 is also valid. Hence, We may get 0 here.


0 is an even integer...then A is incorrect..
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Re: Is x- 2xy + y = 0?  [#permalink]

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New post 19 Apr 2018, 07:34
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