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: a number when divided by 6 leaves a remainder 3 . when the square of the same number is divided by 6 , the remainder is 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
[EX A]: d

[EX 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']
[EX A]: a

[EX Q]: Problem: approximately how many cubic feet of water are needed to fill a circular swimming pool that is 70 feet across and 9 feet deep ? 
Options: ['a ) 4000', 'b ) 10000', 'c ) 20000', 'd ) 35000', 'e ) 45000']
[EX A]:
d