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: 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
[A]: d


[Q]: Problem: the length of a rectangular landscape is 12 times its breadth . there is a playground in it whose area is 1200 square mtr & which is 1 / 4 rd of the total landscape . what is the length of the landscape ? 
Options: a ) 90 , b ) 120 , c ) 240 , d ) 180 , e ) 110
[A]:
c