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: if n is the smallest integer such that 144 times n is the square of an integer , what is the value of n ? 
Options: a ) 2 , b ) 3 , c ) 6 , d ) 12 , e ) 24
[A]: a


[Q]: Problem: the value of “ a ” varies in inverse proportion as the square of “ b ” . if the value of “ a ” is equal to 40 when “ b ” is equal to 12 . what would be the value of “ a ” when “ b ” is equal to 24 ? 
Options: ['a ) 10', 'b ) 88', 'c ) 26', 'd ) 27', 'e ) 28']
[A]: a


[Q]: Problem: the diagonals of a rhombus are 13 cm and 20 cm . find its area ? 
Options: a ) 176 , b ) 130 , c ) 150 , d ) 179 , e ) 172
[A]:
b