In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

[EX Q]: Problem: the area of the largest circle that can be drawn inside a rectangle with sides 18 cm by 14 cm is 
Options: ['a ) 237', 'b ) 154', 'c ) 2376', 'd ) 198', 'e ) 171']
[EX A]: b

[EX Q]: Problem: what is the smallest positive integer nn such that 6,480 ∗ n √ 6,480 ∗ n is a perfect cube ? 
Options: a ) 5 , b ) 5 ^ 2 , c ) 30 , d ) 30 ^ 2 , e ) 30 ^ 4
[EX A]: e

[EX Q]: Problem: each of the 42 points is placed either inside or on the surface of a perfect sphere . if 65 % or fewer of the points touch the surface , what is the maximum number of segments which , if connected from those points to form chords , could be the diameter of the sphere ? 
Options: a ) 7 , b ) 11 , c ) 13 , d ) 23 , e ) 38
[EX A]:
c