When positive integer $m$ is divided by positive integer $x,$ the reminder is $7$ and when positive integer $n$

When positive integer $m$ is divided by positive integer $x,$ the reminder is $7$ and when positive integer $n$ is divided by positive integer $y,$ the reminder is $11.$ Which of the following is a possible value for $x + y?$

I. 18
II. 19
III. 20

A. I only
B. II only
C. III only
D. II and III only
E. None

Answer: C

Source: GMAT Club Tests

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