In ΔABC, the line parallel to BC intersect AB & AC at P & Q respectively. If AB : AP = 5 : 3, then AQ : QC is:

A. 3 : 2

B. 1 : 2

C. 3 : 5

D. 2 : 3

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & \frac{{AP}}{{PB}} = \frac{{AQ}}{{QC}} \cr & \frac{{AQ}}{{QC}} = \frac{3}{2} \cr & AQ:QC = 3:2 \cr} $$