When the positive integer $x$ is divided by the positive integer $y,$ the quotient is $2$ and the remainder is

When the positive integer $x$ is divided by the positive integer $y,$ the quotient is $2$ and the remainder is $z.$ When $x$ is divided by the positive integer $a,$ the quotient is $3$ and the remainder is $b.$ Is $z > b?$

(1) The ratio of $y$ to a is less than $3$ to $2.$
(2) The ratio of $y$ to a is greater than $2$ to $3.$

Answer: A

Source: Manhattan GMAT

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