To divide a line segment AB in the ratio $p : q ( p, q$ are positive integers), draw a ray $AX$ so that $\angle BAX$ $s$ an acute angle and then mark points on ray $AX$ at equal distances such that the minimum number of these points is :

Question

$(A) \; p+q-1 \\(B)\; p+q \\(C)\; pq \\(D)\; greater \;of \;p\;and\;q$