Let A be the set of first 101 terms of an A.P., whose first term is 1 and the common difference is 5 and let B be the set of first 71 terms of an…

Let A be the set of first $\displaystyle 101$ terms of an A.P., whose first term is $\displaystyle 1$ and the common difference is $\displaystyle 5$ and let B be the set of first $\displaystyle 71$ terms of an A.P., whose first term is $\displaystyle 9$ and the common difference is $\displaystyle 7$ . Then the number of elements in $\displaystyle A \cap B$, which are divisible by $\displaystyle 3$ , is :