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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