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 ratio of the areas of two squares , one having double its diagonal then the other is : 
Options: ['a ) 2 : 1', 'b ) 1 : 2', 'c ) 2 : 3', 'd ) 1 : 4', 'e ) 4 : 1']

SOLUTION: e

PROBLEM: Problem: an order was placed for a carpet whose length and width were in the ratio of 3 : 2 . subsequently , the dimensions of the carpet were altered such that its length and width were in the ratio 4 : 3 but were was no change in its perimeter . what is the ratio of the areas of the carpets ? 
Options: a ) 9 : 10 , b ) 19 : 20 , c ) 29 : 30 , d ) 39 : 40 , e ) 49 : 50

SOLUTION: e

PROBLEM: Problem: the radius of a cone is 49 m , slant height is 35 m . find the curved surface area ? 
Options: a ) 5160 , b ) 5390 , c ) 6430 , d ) 6720 , e ) 7280

SOLUTION:
b