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

[Q]: Problem: a rectangular block has the dimensions 5 x 6 x 7 cm it is dropped into a cylindrical vessel of radius 6 cm and height 10 cm . if the level of the fluid in the cylinder rises by 4 cm , what portion of the block is immersed in the fluid ?
Options: ['a ) 22 / 7 x 24 / 35', 'b ) 22 / 7 x 36 x 4', 'c ) 22 / 7 x 36 / 5', 'd ) 22 / 7 x 37 / 21', 'e ) 22 / 7 x 32 / 21']
[A]: a

[Q]: Problem: d and e are two points respectively on sides ab and ac of triangle abc such that de is parallel to bc . if the ratio of area of triangle ade to that of the trapezium decb is 144 : 25 and de = 13 cm , then find the length of bc .
Options: ['a ) 5', 'b ) 13', 'c ) 14', 'd ) 11', 'e ) 15']
[A]: a

[Q]: Problem: find the area of a parallelogram with base 32 cm and height 22 cm ?
Options: a ) 281 , b ) 284 , c ) 704 , d ) 640 , e ) 920
[A]:
c