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: the radius of a sphere is increased by 10 % . the surface area increases by ? 
Options: ['a ) 21 %', 'b ) 31 %', 'c ) 41 %', 'd ) 51 %', 'e ) none of these']

SOLUTION: a

PROBLEM: Problem: the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 96 square centimeters , what is the length of the rectangle in centimeters ? 
Options: a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15

SOLUTION: b

PROBLEM: Problem: the diagonals of two squares are in the ratio of 3 : 7 then find the ratio of its areas ? 
Options: a ) 7 : 37 , b ) 6 : 46 , c ) 9 : 49 , d ) 8 : 68 , e ) 6 : 61

SOLUTION:
c