Is x- 2xy + y = 0?

Question

Is x- 2xy + y = 0?

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

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

msk0657 · Answer

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.

abhimahna · Answer

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.

AkshdeepS · Answer

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
eq {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
eq {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
eq {0}

IMO (E)

acegmat123 · Answer

For statement 1:

x=y=0 will also give a Yes

I think answer is E

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msk0657 · Answer

0 is an even integer...then A is incorrect..

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Is x- 2xy + y = 0?

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Is x- 2xy + y = 0?

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