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

[Q]: Problem: a perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer . how many positive integers n are there such that n is less than 100,000 and at the same time n is a perfect square and a perfect cube ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
[A]: d


[Q]: Problem: what positive number , when squared , is equal to the cube of the positive square root of 17 ? 
Options: ['a ) 64', 'b ) 32', 'c ) 8', 'd ) 4', 'e ) 2']
[A]: c


[Q]: Problem: the length of each side of an equilateral triangle having an area of 4 √ 3 cm 2 is ? 
Options: ['a ) 3 : 4', 'b ) 3 : 9', 'c ) 3 : 7', 'd ) 3 : 1', 'e ) 3 : 2']
[A]:
a