TASK DEFINITION: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.
PROBLEM: Problem: rectangular tile each of size 20 cm by 30 cm must be laid horizontally on a rectangular floor of size 100 cm by 150 cm , such that the tiles do not overlap and they are placed with edges jutting against each other on all edges . a tile can be placed in any orientation so long as its edges are parallel to the edges of floor . no tile should overshoot any edge of the floor . the maximum number of tiles that can be accommodated on the floor is : 
Options: a ) 40 , b ) 15 , c ) 25 , d ) 32 , e ) 45

SOLUTION: c

PROBLEM: Problem: danny is sitting on a rectangular box . the area of the front face of the box is half the area of the top face , and the area of the top face is 1.5 times the area of the side face . if the volume of the box is 1536 , what is the area of the side face of the box ? 
Options: a ) 34 , b ) 65 , c ) 88 , d ) 90 , e ) 128

SOLUTION: e

PROBLEM: Problem: the lateral surface area of cube is 100 sq . units . find the volume of cube ? 
Options: ['a ) 135', 'b ) 155', 'c ) 125', 'd ) 145', 'e ) 115']

SOLUTION:
c