instruction:
In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.
question:
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 1,000 and at the same time n is a perfect square and a perfect cube ?
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
answer:
b

question:
Problem: a rectangular block 10 cm by 20 cm by 35 cm is cut into an exact number of equal cubes . find the least possible number of cubes ?
Options: a ) 6 , b ) 56 , c ) 15 , d ) 40 , e ) 22
answer:
b

question:
Problem: if the length of the longest chord of a certain circle is 22 , what is the radius of that certain circle ?
Options: a ) 11 , b ) 5 , c ) 10 , d ) 15 , e ) 20
answer:
a