The maximum possible number of points of intersection of 7 straight lines and 5 circles is:

Maximum possible number of points of intersection of 7 lines is  7C2=21 Maximum possible number of points of intersection of 5  circles in 2 5C2=20[∵ two circles can intersect in two distinct points.]Maximum possible number of points of intersection of 5 circles and 7 lines is 2(5) (7) = 70Thus, maximum possible number of points of intersection is  21 + 20 + 70 = 111.