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

Input: Consider Input: Problem: anup manages to draw 7 circles of equal radii with their centres on the diagonal of a square such that two extreme circles touch two sides of the square and each middle circle touches two circles on either side . find the ratio of radius of the circles to the side of the square . 
Options: ['a ) 1 : ( 2 + 6 ^ ( 1 / 2 ) )', 'b ) 1 : ( 4 + 7 ^ ( 1 / 3 ) )', 'c ) ( 2 + 7 ^ ( 1 / 2 ) ) : 1', 'd ) ( 2 + 7 ^ ( 1 / 2 ) ) : 2', 'e ) none of these']

Output: e


Input: Consider Input: 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

Output: d


Input: Consider Input: Problem: the area of an isosceles trapezoid with sides of length 5 and bases of length 6 and 12 is ? 
Options: a ) 44 , b ) 42 , c ) 40 , d ) 38 , e ) 36


Output: e