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

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

by Gmat_mission » Fri Jan 28, 2022 11:42 am

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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 $$3.$$