If \(y\) is an odd integer and the product of \(x\) and \(y\) equals 222, what is the value of \(x?\)

[Gmat_mission]

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 3 digit number.

Answer: A

Source: Veritas Prep

[swerve]

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 3 digit number.

Answer: A

Source: Veritas Prep

\(y\) is odd integer
\(xy= 222= 2\cdot 3 \cdot 37\)

1)\(x\) is a prime number.

The only possible is \(x=2\) and \(y=3\cdot 37\)

Sufficient \(\Large{\color{green}\checkmark}\)

2) \(y\) is a \(3\) digit number.

\(If y=111, x=2, xy=222\)

If \(y=102, x=\dfrac{222}{102}\) (The trick here is that it is not mentioned that x is INTEGER. one might think intuitively that x is integer because y is integer)

Insufficient \(\Large{\color{red}\chi}\)

Therefore, A

[gmatter2012]

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 3 digit number.

Answer: A

Source: Veritas Prep

\(y\) is odd integer
\(xy= 222= 2\cdot 3 \cdot 37\)

1)\(x\) is a prime number.

The only possible is \(x=2\) and \(y=3\cdot 37\)

Sufficient \(\Large{\color{green}\checkmark}\)

2) \(y\) is a \(3\) digit number.

\(If y=111, x=2, xy=222\)

If \(y=102, x=\dfrac{222}{102}\) (The trick here is that it is not mentioned that x is INTEGER. one might think intuitively that x is integer because y is integer)

Insufficient \(\Large{\color{red}\chi}\)

Therefore, A

Hi @swerve,
Thank you for your soln.

But it is given that y is odd. In showing B is INSUFF. you have shown y to be even. if Y is odd and 3 digits then it can only be 111.

IMO B is SUFF. too unless I am missing some other point?