If any lurkers/posters feel overwhelmed about this question, I approached this question is a less tedious way.
If y is an odd integer and the product of x and y equals 222, what is the value of x?
(1) x is a prime number.
(2) y is a three-digit number.
Suppose E is any even integer and D is any odd integer
A general property that should be known about multiplying two integers:
EE = even product (e.g. 4 * 8 = 32)
ED = even product (e.g. 3 * 6 = 18)
DD = odd product (e.g. 5 * 7 = 35)
The original question states that y is odd, yet xy (the product) is an even integer.
This means that x must be even.
(1) x is a prime number.
The only even prime number is 2.
(1) is sufficient
y is a three-digit number.
As GMATGuruNY pointed out, there is no condition stated that requires x to be an integer. As a result, there are an infinite number of possibilities. It's worth noting that the question mentioned that x was an integer, the only possible value for y is 111.
(2) is not sufficient
OA = A
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