Let p, q, r be the smallest integers in lists P, Q, R , respectively.

P has 16 multiples of 4, so its largest is p+60 .
Q has 16 multiples of 7, so its largest is q+105 .
R has 16 multiples of 9, so its largest is r+135 .


Let the gap between the largest P and smallest Q be


q-(p+60)=d


where \(10<d<20\) .

So Quantity A is


(q+105)-p=(p+60+d+105)-p=165+d .


Since $d$ is not uniquely determined, Quantity A is not fixed.
For Quantity B, we are told


\(q+105=r+60 \Longrightarrow r=q+45 \).


So Q ranges from q to q+105 , and R ranges from q+45 to q+180 . Thus the combined range is


(q+180)-q=180 .


But Quantity A depends on $d$. For example:


If d=14 , then Quantity \(\mathrm{A}=179\) , which is less than 180.
If d=18 , then Quantity \(\mathrm{A}=183\) , which is greater than 180 .

Both values can satisfy all the given conditions.
Therefore, the relationship cannot be determined.


D